[{"doi":"10.1108/ec-12-2023-0975","title":"Error representations for goal-oriented a posteriori error estimation in elasto-plasticity with applications to mesh adaptivity","date_created":"2026-01-21T06:49:18Z","author":[{"last_name":"Tchomgue Simeu","id":"83075","full_name":"Tchomgue Simeu, Arnold","first_name":"Arnold"},{"first_name":"Ismail","id":"75","full_name":"Caylak, Ismail","last_name":"Caylak"},{"orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","full_name":"Ostwald, Richard","first_name":"Richard"}],"date_updated":"2026-01-21T06:50:58Z","publisher":"Emerald","page":"1-40","citation":{"bibtex":"@article{Tchomgue Simeu_Caylak_Ostwald_2026, title={Error representations for goal-oriented a posteriori error estimation in elasto-plasticity with applications to mesh adaptivity}, DOI={10.1108/ec-12-2023-0975}, journal={Engineering Computations}, publisher={Emerald}, author={Tchomgue Simeu, Arnold and Caylak, Ismail and Ostwald, Richard}, year={2026}, pages={1–40} }","short":"A. Tchomgue Simeu, I. Caylak, R. Ostwald, Engineering Computations (2026) 1–40.","mla":"Tchomgue Simeu, Arnold, et al. “Error Representations for Goal-Oriented a Posteriori Error Estimation in Elasto-Plasticity with Applications to Mesh Adaptivity.” Engineering Computations, Emerald, 2026, pp. 1–40, doi:10.1108/ec-12-2023-0975.","apa":"Tchomgue Simeu, A., Caylak, I., & Ostwald, R. (2026). Error representations for goal-oriented a posteriori error estimation in elasto-plasticity with applications to mesh adaptivity. Engineering Computations, 1–40. https://doi.org/10.1108/ec-12-2023-0975","chicago":"Tchomgue Simeu, Arnold, Ismail Caylak, and Richard Ostwald. “Error Representations for Goal-Oriented a Posteriori Error Estimation in Elasto-Plasticity with Applications to Mesh Adaptivity.” Engineering Computations, 2026, 1–40. https://doi.org/10.1108/ec-12-2023-0975.","ieee":"A. Tchomgue Simeu, I. Caylak, and R. Ostwald, “Error representations for goal-oriented a posteriori error estimation in elasto-plasticity with applications to mesh adaptivity,” Engineering Computations, pp. 1–40, 2026, doi: 10.1108/ec-12-2023-0975.","ama":"Tchomgue Simeu A, Caylak I, Ostwald R. Error representations for goal-oriented a posteriori error estimation in elasto-plasticity with applications to mesh adaptivity. Engineering Computations. Published online 2026:1-40. doi:10.1108/ec-12-2023-0975"},"year":"2026","publication_identifier":{"issn":["0264-4401","1758-7077"]},"quality_controlled":"1","publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"63676","status":"public","abstract":[{"text":"\r\n Purpose\r\n The purpose of this paper is to develop new methods of error representation to improve the accuracy and numerical efficiency of a posteriori and goal-oriented adaptive framework of elastoplasticity with Prandtl–Reuss type material laws.\r\n \r\n \r\n Design/methodology/approach\r\n To obtain new methods of error representation for a posteriori and goal-oriented error estimators, weak forms of primal and dual problems are investigated starting with the initial boundary value problem (IBVP). Then, we approximate both problems using temporal discretization. Additionally, we introduce a secant form considering the nonlinearity of elasto-plastic constitutive equations, which is approximated by a tangent form. Finally, we obtain numerical primal and dual solutions and their corresponding error approximations of discretized primal and dual problems, allowing to build several goal-oriented a posteriori error estimators on temporal and spatial adaptive refinement by inserting primal solutions, dual solutions and their error approximations as arguments in residuals of both weak forms as well as in the secant form of the bilinear residual.\r\n \r\n \r\n Findings\r\n An elasto-plastic material is investigated in a framework of goal-oriented error estimator by using separately several methods of error representation to deal with either temporal or spatial adaptive refinement, as well as with both refinements leading to an effective reduction of computational effort. Specifically, new error representations based on goal-oriented error estimators are presented and obtained from primal and dual residuals, which use only primal solutions or only dual solutions or a combination of primal and dual solutions as arguments. Error representations obtained from primal residuals and evaluated using only primal arguments do not require the formulation of a dual problem.\r\n \r\n \r\n Research limitations/implications\r\n The effectiveness of the different proposed methods is illustrated by an example of a perforated sheet for adaptive spatial refinement where new mesh adaptation methods of error representation are compared against existing mesh adaptation methods such as uniform mesh refinement, mesh refinement based on gradient indicators and adjoint-based methods in literature. The framework generates a balanced mesh consisting of fine, medium and coarse elements for accurate results, avoiding a numerically costly simulation with only fine elements.\r\n \r\n \r\n Originality/value\r\n All new proposed methods of error representation successfully estimate actual errors during mesh adaptivity. Furthermore, the proposed methods of error representation allow us to obtain significant reduction and equidistribution of spatial error at the end of the mesh adaptivity process. Their application to a framework of goal-oriented error estimation due to time and mesh adaptivity remains an open issue.\r\n ","lang":"eng"}],"publication":"Engineering Computations","type":"journal_article"},{"language":[{"iso":"eng"}],"article_number":"10812865261420809","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"64187","status":"public","abstract":[{"text":"Carbon fiber-reinforced plastics (CFRPs) have become increasingly significant in recent decades due to their remarkable mechanical properties and lightweight nature. This study aims to advance the understanding and simulation of CFRP behavior through the development of a hyperelastic-plastic-damage homogenization method combined with mean-field theory. The material responses of both the fiber and matrix are modeled using strain energy functions that account for damage evolution, while a complete linearization of the homogenization process is derived to ensure the consistent implementation of the Newton–Raphson iteration scheme in large deformation simulations. The innovative aspect of this work lies in the constitutive linearization for the hyperelastic-plastic-damage formulation within a mean-field homogenization framework, providing an efficient Newton algorithm for modeling the nonlinear behavior of CFRP. A failure criterion for the hyperelastic model of fibers is introduced, along with a damage saturation variable in rate form for the matrix, effectively capturing damage evolution. Through discrete formulations for the homogenization, the proposed model’s capability is demonstrated via three numerical examples and validated against experimental investigations, proving its effectiveness and reliability in simulating CFRP damage.","lang":"eng"}],"publication":"Mathematics and Mechanics of Solids","type":"journal_article","doi":"10.1177/10812865261420809","title":"A fully implicit mean-field damage formulation with consistent linearization at large deformations","date_created":"2026-02-17T11:21:00Z","author":[{"first_name":"Yingjie","last_name":"Zhan","id":"93591","full_name":"Zhan, Yingjie"},{"full_name":"Caylak, Ismail","last_name":"Caylak","first_name":"Ismail"},{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","full_name":"Ostwald, Richard"},{"first_name":"Rolf","id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken"},{"first_name":"Enrico","last_name":"Barth","full_name":"Barth, Enrico"},{"first_name":"Eckart","full_name":"Uhlmann, Eckart","last_name":"Uhlmann"}],"date_updated":"2026-02-17T11:22:49Z","publisher":"SAGE Publications","citation":{"chicago":"Zhan, Yingjie, Ismail Caylak, Richard Ostwald, Rolf Mahnken, Enrico Barth, and Eckart Uhlmann. “A Fully Implicit Mean-Field Damage Formulation with Consistent Linearization at Large Deformations.” Mathematics and Mechanics of Solids, 2026. https://doi.org/10.1177/10812865261420809.","ieee":"Y. Zhan, I. Caylak, R. Ostwald, R. Mahnken, E. Barth, and E. Uhlmann, “A fully implicit mean-field damage formulation with consistent linearization at large deformations,” Mathematics and Mechanics of Solids, Art. no. 10812865261420808, 2026, doi: 10.1177/10812865261420809.","ama":"Zhan Y, Caylak I, Ostwald R, Mahnken R, Barth E, Uhlmann E. A fully implicit mean-field damage formulation with consistent linearization at large deformations. Mathematics and Mechanics of Solids. Published online 2026. doi:10.1177/10812865261420809","apa":"Zhan, Y., Caylak, I., Ostwald, R., Mahnken, R., Barth, E., & Uhlmann, E. (2026). A fully implicit mean-field damage formulation with consistent linearization at large deformations. Mathematics and Mechanics of Solids, Article 10812865261420808. https://doi.org/10.1177/10812865261420809","short":"Y. Zhan, I. Caylak, R. Ostwald, R. Mahnken, E. Barth, E. Uhlmann, Mathematics and Mechanics of Solids (2026).","mla":"Zhan, Yingjie, et al. “A Fully Implicit Mean-Field Damage Formulation with Consistent Linearization at Large Deformations.” Mathematics and Mechanics of Solids, 10812865261420808, SAGE Publications, 2026, doi:10.1177/10812865261420809.","bibtex":"@article{Zhan_Caylak_Ostwald_Mahnken_Barth_Uhlmann_2026, title={A fully implicit mean-field damage formulation with consistent linearization at large deformations}, DOI={10.1177/10812865261420809}, number={10812865261420808}, journal={Mathematics and Mechanics of Solids}, publisher={SAGE Publications}, author={Zhan, Yingjie and Caylak, Ismail and Ostwald, Richard and Mahnken, Rolf and Barth, Enrico and Uhlmann, Eckart}, year={2026} }"},"year":"2026","publication_identifier":{"issn":["1081-2865","1741-3028"]},"quality_controlled":"1","publication_status":"published"},{"date_updated":"2026-03-04T11:32:09Z","publisher":"Elsevier BV","volume":147,"author":[{"first_name":"Maik","full_name":"Gude, Maik","last_name":"Gude"},{"first_name":"Gerson","full_name":"Meschut, Gerson","id":"32056","orcid":"0000-0002-2763-1246","last_name":"Meschut"},{"full_name":"Flügge, Wilko","last_name":"Flügge","first_name":"Wilko"},{"full_name":"Fröck, Linda","last_name":"Fröck","first_name":"Linda"},{"last_name":"Wald","full_name":"Wald, Christopher","first_name":"Christopher"},{"first_name":"Vanessa","last_name":"Neßlinger","full_name":"Neßlinger, Vanessa"},{"full_name":"Dobrindt-Tittmann, Karsten","last_name":"Dobrindt-Tittmann","first_name":"Karsten"},{"first_name":"Juliane","last_name":"Troschitz","full_name":"Troschitz, Juliane"},{"first_name":"Fynn","last_name":"Neubert","full_name":"Neubert, Fynn"},{"last_name":"Hofmann","full_name":"Hofmann, Martin","first_name":"Martin"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"first_name":"Christian","last_name":"Mathiszik","full_name":"Mathiszik, Christian"},{"first_name":"Hans Christian","full_name":"Schmale, Hans Christian","last_name":"Schmale"},{"first_name":"Thomas","last_name":"Wallmersperger","full_name":"Wallmersperger, Thomas"},{"first_name":"Guido","last_name":"Grundmeier","id":"194","full_name":"Grundmeier, Guido"}],"date_created":"2026-01-20T09:06:03Z","title":"Corrosion of adhesively bonded alloys in maritime environments: A review","doi":"10.1016/j.ijadhadh.2026.104264","publication_identifier":{"issn":["0143-7496"]},"quality_controlled":"1","publication_status":"published","year":"2026","intvolume":" 147","citation":{"ama":"Gude M, Meschut G, Flügge W, et al. Corrosion of adhesively bonded alloys in maritime environments: A review. International Journal of Adhesion and Adhesives. 2026;147. doi:10.1016/j.ijadhadh.2026.104264","apa":"Gude, M., Meschut, G., Flügge, W., Fröck, L., Wald, C., Neßlinger, V., Dobrindt-Tittmann, K., Troschitz, J., Neubert, F., Hofmann, M., Ostwald, R., Mathiszik, C., Schmale, H. C., Wallmersperger, T., & Grundmeier, G. (2026). Corrosion of adhesively bonded alloys in maritime environments: A review. International Journal of Adhesion and Adhesives, 147, Article 104264. https://doi.org/10.1016/j.ijadhadh.2026.104264","bibtex":"@article{Gude_Meschut_Flügge_Fröck_Wald_Neßlinger_Dobrindt-Tittmann_Troschitz_Neubert_Hofmann_et al._2026, title={Corrosion of adhesively bonded alloys in maritime environments: A review}, volume={147}, DOI={10.1016/j.ijadhadh.2026.104264}, number={104264}, journal={International Journal of Adhesion and Adhesives}, publisher={Elsevier BV}, author={Gude, Maik and Meschut, Gerson and Flügge, Wilko and Fröck, Linda and Wald, Christopher and Neßlinger, Vanessa and Dobrindt-Tittmann, Karsten and Troschitz, Juliane and Neubert, Fynn and Hofmann, Martin and et al.}, year={2026} }","short":"M. Gude, G. Meschut, W. Flügge, L. Fröck, C. Wald, V. Neßlinger, K. Dobrindt-Tittmann, J. Troschitz, F. Neubert, M. Hofmann, R. Ostwald, C. Mathiszik, H.C. Schmale, T. Wallmersperger, G. Grundmeier, International Journal of Adhesion and Adhesives 147 (2026).","mla":"Gude, Maik, et al. “Corrosion of Adhesively Bonded Alloys in Maritime Environments: A Review.” International Journal of Adhesion and Adhesives, vol. 147, 104264, Elsevier BV, 2026, doi:10.1016/j.ijadhadh.2026.104264.","chicago":"Gude, Maik, Gerson Meschut, Wilko Flügge, Linda Fröck, Christopher Wald, Vanessa Neßlinger, Karsten Dobrindt-Tittmann, et al. “Corrosion of Adhesively Bonded Alloys in Maritime Environments: A Review.” International Journal of Adhesion and Adhesives 147 (2026). https://doi.org/10.1016/j.ijadhadh.2026.104264.","ieee":"M. Gude et al., “Corrosion of adhesively bonded alloys in maritime environments: A review,” International Journal of Adhesion and Adhesives, vol. 147, Art. no. 104264, 2026, doi: 10.1016/j.ijadhadh.2026.104264."},"_id":"63665","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","article_number":"104264","language":[{"iso":"eng"}],"publication":"International Journal of Adhesion and Adhesives","type":"journal_article","status":"public"},{"language":[{"iso":"eng"}],"abstract":[{"text":"ABSTRACT\r\n Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme. Two model hierarchies are introduced, combining mean‐field and full‐field methods, and nonuniform transformation field analysis (NTFA) with full‐field methods. Both hierarchies use a full‐field FEM solution of the representative volume element (RVE) as reference. The study highlights the benefits of using effective constitutive equations from mean‐field and full‐field methods as well as NTFA methods, with a goal‐oriented a posteriori error estimator based on duality techniques controlling mesh and model errors in a forwards‐in‐time manner.","lang":"eng"}],"publication":"International Journal for Numerical Methods in Engineering","title":"Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws","publisher":"Wiley","date_created":"2026-03-18T05:28:29Z","year":"2026","quality_controlled":"1","issue":"6","article_number":"e70294","_id":"65037","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","status":"public","type":"journal_article","doi":"10.1002/nme.70294","date_updated":"2026-03-18T05:31:02Z","volume":127,"author":[{"full_name":"Simeu, Arnold Tchomgue","last_name":"Simeu","first_name":"Arnold Tchomgue"},{"first_name":"Ismail","full_name":"Caylak, Ismail","id":"75","last_name":"Caylak"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald"}],"intvolume":" 127","citation":{"chicago":"Simeu, Arnold Tchomgue, Ismail Caylak, and Richard Ostwald. “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws.” International Journal for Numerical Methods in Engineering 127, no. 6 (2026). https://doi.org/10.1002/nme.70294.","ieee":"A. T. Simeu, I. Caylak, and R. Ostwald, “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws,” International Journal for Numerical Methods in Engineering, vol. 127, no. 6, Art. no. e70294, 2026, doi: 10.1002/nme.70294.","short":"A.T. Simeu, I. Caylak, R. Ostwald, International Journal for Numerical Methods in Engineering 127 (2026).","bibtex":"@article{Simeu_Caylak_Ostwald_2026, title={Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws}, volume={127}, DOI={10.1002/nme.70294}, number={6e70294}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Simeu, Arnold Tchomgue and Caylak, Ismail and Ostwald, Richard}, year={2026} }","mla":"Simeu, Arnold Tchomgue, et al. “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws.” International Journal for Numerical Methods in Engineering, vol. 127, no. 6, e70294, Wiley, 2026, doi:10.1002/nme.70294.","apa":"Simeu, A. T., Caylak, I., & Ostwald, R. (2026). Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. International Journal for Numerical Methods in Engineering, 127(6), Article e70294. https://doi.org/10.1002/nme.70294","ama":"Simeu AT, Caylak I, Ostwald R. Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. International Journal for Numerical Methods in Engineering. 2026;127(6). doi:10.1002/nme.70294"},"publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published"},{"citation":{"ieee":"A. Börger, R. Mahnken, I. Caylak, and R. Ostwald, “Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand,” Proceedings in Applied Mathematics and Mechanics, vol. 26, no. 2, Art. no. e70093, 2026, doi: 10.1002/pamm.70093.","chicago":"Börger, Alexander, Rolf Mahnken, Ismail Caylak, and Richard Ostwald. “Aspects of Parameter Identification for a Micromorphic Continuum Applied to a Cold‐Box Sand.” Proceedings in Applied Mathematics and Mechanics 26, no. 2 (2026). https://doi.org/10.1002/pamm.70093.","ama":"Börger A, Mahnken R, Caylak I, Ostwald R. Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand. Proceedings in Applied Mathematics and Mechanics. 2026;26(2). doi:10.1002/pamm.70093","apa":"Börger, A., Mahnken, R., Caylak, I., & Ostwald, R. (2026). Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand. Proceedings in Applied Mathematics and Mechanics, 26(2), Article e70093. https://doi.org/10.1002/pamm.70093","short":"A. Börger, R. Mahnken, I. Caylak, R. Ostwald, Proceedings in Applied Mathematics and Mechanics 26 (2026).","bibtex":"@article{Börger_Mahnken_Caylak_Ostwald_2026, title={Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand}, volume={26}, DOI={10.1002/pamm.70093}, number={2e70093}, journal={Proceedings in Applied Mathematics and Mechanics}, publisher={Wiley}, author={Börger, Alexander and Mahnken, Rolf and Caylak, Ismail and Ostwald, Richard}, year={2026} }","mla":"Börger, Alexander, et al. “Aspects of Parameter Identification for a Micromorphic Continuum Applied to a Cold‐Box Sand.” Proceedings in Applied Mathematics and Mechanics, vol. 26, no. 2, e70093, Wiley, 2026, doi:10.1002/pamm.70093."},"intvolume":" 26","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"doi":"10.1002/pamm.70093","date_updated":"2026-04-01T04:54:17Z","author":[{"first_name":"Alexander","id":"52037","full_name":"Börger, Alexander","last_name":"Börger"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken"},{"first_name":"Ismail","last_name":"Caylak","id":"75","full_name":"Caylak, Ismail"},{"id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"}],"volume":26,"status":"public","type":"journal_article","article_number":"e70093","_id":"65266","user_id":"85414","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"year":"2026","quality_controlled":"1","issue":"2","title":"Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand","publisher":"Wiley","date_created":"2026-04-01T04:52:34Z","abstract":[{"lang":"eng","text":"ABSTRACT\r\n This work is concerned with the modeling of a cold‐box sand, a composition of sand grains and a resin binder. To this end, experiments are performed, which show the following characteristics: localization phenomena in the form of a shear band, softening behavior in the force‐displacement curve, and asymmetric behavior for compression and tension. To model this complex material behavior, a micromorphic continuum is used. In the present contribution, we focus on the linear‐elastic regime and demonstrate the identifiability of micromorphic material parameters under deliberately induced inhomogeneous deformation states. In addition to the degrees of freedom of a classical continuum, the micromorphic model has additional degrees of freedom, introduced here in a phenomenological sense to represent kinematically enriched deformation modes associated with the granular microstructure. Accordingly, the micromorphic fields are not interpreted as a separate physical scale (e.g., “binder” vs. “grains”), but as an effective continuum description at the specimen scale. This contribution addresses parameter identification for a micromorphic model of cold‐box sand, with a clear separation between homogeneous deformation states governing classical elastic parameters and inhomogeneous states required to activate and identify micromorphic length‐scale parameters. The main challenge lies in identifying the micro material parameters. To determine these, the corresponding gradient terms in the constitutive formulation must be triggered via properly tuned experiments. Micro‐parameter identification is demonstrated using synthetic data generated from a boundary‐value problem with inhomogeneous displacement fields. The chosen benchmark enables controlled activation of gradient terms and thereby renders optimization‐based identification of micromorphic parameters feasible. The synthetic example is deliberately chosen to assess feasibility and identifiability under controlled conditions, thereby isolating micromorphic identifiability aspects from experimental uncertainties. The novelty of the contribution lies in explicitly linking micromorphic parameter identifiability to kinematic inhomogeneity, and in demonstrating this link within a tractable forward– inverse setting for a linear‐elastic micromorphic continuum."}],"publication":"Proceedings in Applied Mathematics and Mechanics","language":[{"iso":"eng"}]},{"user_id":"85414","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"_id":"61138","language":[{"iso":"eng"}],"article_number":"434","type":"journal_article","publication":"Multiscale and Multidisciplinary Modeling, Experiments and Design","status":"public","author":[{"first_name":"Yingjie","last_name":"Zhan","id":"93591","full_name":"Zhan, Yingjie"},{"last_name":"Caylak","id":"75","full_name":"Caylak, Ismail","first_name":"Ismail"},{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","full_name":"Ostwald, Richard","id":"106876"},{"first_name":"Enrico","full_name":"Barth, Enrico","last_name":"Barth"},{"first_name":"Eckart","full_name":"Uhlmann, Eckart","last_name":"Uhlmann"}],"date_created":"2025-09-05T07:40:31Z","volume":8,"date_updated":"2025-10-20T12:05:57Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s41939-025-01026-4","title":"Damage-incorporated four-step mean-field method for simulating CFRP machining: a novel algorithmic approach","issue":"10","publication_status":"published","publication_identifier":{"issn":["2520-8160","2520-8179"]},"quality_controlled":"1","citation":{"chicago":"Zhan, Yingjie, Ismail Caylak, Richard Ostwald, Enrico Barth, and Eckart Uhlmann. “Damage-Incorporated Four-Step Mean-Field Method for Simulating CFRP Machining: A Novel Algorithmic Approach.” Multiscale and Multidisciplinary Modeling, Experiments and Design 8, no. 10 (2025). https://doi.org/10.1007/s41939-025-01026-4.","ieee":"Y. Zhan, I. Caylak, R. Ostwald, E. Barth, and E. Uhlmann, “Damage-incorporated four-step mean-field method for simulating CFRP machining: a novel algorithmic approach,” Multiscale and Multidisciplinary Modeling, Experiments and Design, vol. 8, no. 10, Art. no. 434, 2025, doi: 10.1007/s41939-025-01026-4.","ama":"Zhan Y, Caylak I, Ostwald R, Barth E, Uhlmann E. Damage-incorporated four-step mean-field method for simulating CFRP machining: a novel algorithmic approach. Multiscale and Multidisciplinary Modeling, Experiments and Design. 2025;8(10). doi:10.1007/s41939-025-01026-4","apa":"Zhan, Y., Caylak, I., Ostwald, R., Barth, E., & Uhlmann, E. (2025). Damage-incorporated four-step mean-field method for simulating CFRP machining: a novel algorithmic approach. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(10), Article 434. https://doi.org/10.1007/s41939-025-01026-4","short":"Y. Zhan, I. Caylak, R. Ostwald, E. Barth, E. Uhlmann, Multiscale and Multidisciplinary Modeling, Experiments and Design 8 (2025).","mla":"Zhan, Yingjie, et al. “Damage-Incorporated Four-Step Mean-Field Method for Simulating CFRP Machining: A Novel Algorithmic Approach.” Multiscale and Multidisciplinary Modeling, Experiments and Design, vol. 8, no. 10, 434, Springer Science and Business Media LLC, 2025, doi:10.1007/s41939-025-01026-4.","bibtex":"@article{Zhan_Caylak_Ostwald_Barth_Uhlmann_2025, title={Damage-incorporated four-step mean-field method for simulating CFRP machining: a novel algorithmic approach}, volume={8}, DOI={10.1007/s41939-025-01026-4}, number={10434}, journal={Multiscale and Multidisciplinary Modeling, Experiments and Design}, publisher={Springer Science and Business Media LLC}, author={Zhan, Yingjie and Caylak, Ismail and Ostwald, Richard and Barth, Enrico and Uhlmann, Eckart}, year={2025} }"},"intvolume":" 8","year":"2025"},{"status":"public","type":"journal_article","article_number":"384","_id":"63662","project":[{"name":"TRR 285 - Project Area B","_id":"132"}],"department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"57245","intvolume":" 16","citation":{"ieee":"S. Krome, T. Duffe, G. Kullmer, B. Schramm, and R. Ostwald, “Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D,” Applied Sciences, vol. 16, no. 1, Art. no. 384, 2025, doi: 10.3390/app16010384.","chicago":"Krome, Sven, Tobias Duffe, Gunter Kullmer, Britta Schramm, and Richard Ostwald. “Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D.” Applied Sciences 16, no. 1 (2025). https://doi.org/10.3390/app16010384.","ama":"Krome S, Duffe T, Kullmer G, Schramm B, Ostwald R. Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D. Applied Sciences. 2025;16(1). doi:10.3390/app16010384","bibtex":"@article{Krome_Duffe_Kullmer_Schramm_Ostwald_2025, title={Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D}, volume={16}, DOI={10.3390/app16010384}, number={1384}, journal={Applied Sciences}, publisher={MDPI AG}, author={Krome, Sven and Duffe, Tobias and Kullmer, Gunter and Schramm, Britta and Ostwald, Richard}, year={2025} }","short":"S. Krome, T. Duffe, G. Kullmer, B. Schramm, R. Ostwald, Applied Sciences 16 (2025).","mla":"Krome, Sven, et al. “Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D.” Applied Sciences, vol. 16, no. 1, 384, MDPI AG, 2025, doi:10.3390/app16010384.","apa":"Krome, S., Duffe, T., Kullmer, G., Schramm, B., & Ostwald, R. (2025). Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D. Applied Sciences, 16(1), Article 384. https://doi.org/10.3390/app16010384"},"publication_identifier":{"issn":["2076-3417"]},"publication_status":"published","doi":"10.3390/app16010384","date_updated":"2026-03-30T11:00:39Z","volume":16,"author":[{"last_name":"Krome","id":"57245","full_name":"Krome, Sven","first_name":"Sven"},{"first_name":"Tobias","last_name":"Duffe","full_name":"Duffe, Tobias","id":"41322"},{"first_name":"Gunter","full_name":"Kullmer, Gunter","id":"291","last_name":"Kullmer"},{"last_name":"Schramm","id":"4668","full_name":"Schramm, Britta","first_name":"Britta"},{"last_name":"Ostwald","orcid":"0000-0003-2147-8444","id":"106876","full_name":"Ostwald, Richard","first_name":"Richard"}],"abstract":[{"lang":"eng","text":"The accurate prediction of crack initiation and propagation is essential for assessing the structural integrity of mechanically joined components and other complex assemblies. To overcome the limitations of existing finite element tools, a modular Python framework has been developed to automate three-dimensional crack growth simulations. The program combines geometric reconstruction, adaptive remeshing, and the numerical evaluation of fracture mechanics parameters within a single, fully automated workflow. The framework builds on open-source components and remains solver-independent, enabling straightforward integration with commercial or research finite element codes. A dedicated sequence of modules performs all required steps, from mesh separation and crack insertion to local submodeling, stress and displacement mapping, and iterative crack-front update, without manual interaction. The methodology was verified using a mini-compact tension (Mini-CT) specimen as a benchmark case. The numerical results demonstrate the accurate reproduction of stress intensity factors and energy release rates while achieving high computational efficiency through localized refinement. The developed approach provides a robust basis for crack growth simulations of geometrically complex or residual stress-affected structures. Its high degree of automation and flexibility makes it particularly suited for analyzing cracks in clinched and riveted joints, supporting the predictive design and durability assessment of joined lightweight structures."}],"publication":"Applied Sciences","language":[{"iso":"eng"}],"year":"2025","quality_controlled":"1","issue":"1","title":"Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D","publisher":"MDPI AG","date_created":"2026-01-20T08:47:40Z"},{"_id":"58309","user_id":"85414","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"article_number":"160","type":"journal_article","status":"public","date_updated":"2025-02-14T10:52:55Z","author":[{"full_name":"Najafi Koopas, Rasoul","last_name":"Najafi Koopas","first_name":"Rasoul"},{"last_name":"Rezaei","full_name":"Rezaei, Shahed","first_name":"Shahed"},{"last_name":"Rauter","full_name":"Rauter, Natalie","first_name":"Natalie"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald"},{"last_name":"Lammering","full_name":"Lammering, Rolf","first_name":"Rolf"}],"volume":15,"doi":"10.3390/app15010160","publication_status":"published","publication_identifier":{"issn":["2076-3417"]},"citation":{"apa":"Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R. (2024). Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties. Applied Sciences, 15(1), Article 160. https://doi.org/10.3390/app15010160","bibtex":"@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties}, volume={15}, DOI={10.3390/app15010160}, number={1160}, journal={Applied Sciences}, publisher={MDPI AG}, author={Najafi Koopas, Rasoul and Rezaei, Shahed and Rauter, Natalie and Ostwald, Richard and Lammering, Rolf}, year={2024} }","mla":"Najafi Koopas, Rasoul, et al. “Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties.” Applied Sciences, vol. 15, no. 1, 160, MDPI AG, 2024, doi:10.3390/app15010160.","short":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Applied Sciences 15 (2024).","chicago":"Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald, and Rolf Lammering. “Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties.” Applied Sciences 15, no. 1 (2024). https://doi.org/10.3390/app15010160.","ieee":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties,” Applied Sciences, vol. 15, no. 1, Art. no. 160, 2024, doi: 10.3390/app15010160.","ama":"Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties. Applied Sciences. 2024;15(1). doi:10.3390/app15010160"},"intvolume":" 15","language":[{"iso":"eng"}],"publication":"Applied Sciences","abstract":[{"lang":"eng","text":"This study evaluates four widely used fracture simulation methods, comparing their computational expenses and implementation complexities within the finite element (FE) framework when employed on heterogeneous solids. Fracture methods considered encompass the intrinsic cohesive zone model (CZM) using zero-thickness cohesive interface elements (CIEs), the standard phase-field fracture (SPFM) approach, the cohesive phase-field fracture (CPFM) approach, and an innovative hybrid model. The hybrid approach combines the CPFM fracture method with the CZM, specifically applying the CZM within the interface zone. The finite element model studied is characterized by three specific phases: inclusions, matrix, and the interface zone. This case study serves as a potential template for meso- or micro-level simulations involving a variety of composite materials. The thorough assessment of these modeling techniques indicates that the CPFM approach stands out as the most effective computational model, provided that the thickness of the interface zone is not significantly smaller than that of the other phases. In materials like concrete, which contain interfaces within their microstructure, the interface thickness is notably small when compared to other phases. This leads to the hybrid model standing as the most authentic finite element model, utilizing CIEs within the interface to simulate interface debonding. A significant finding from this investigation is that within the CPFM method, for a specific interface thickness, convergence with the hybrid model can be observed. This suggests that the CPFM fracture method could serve as a unified fracture approach for multiphase materials when a specific interfacial thickness is used. In addition, this research provides valuable insights that can advance efforts to fine-tune material microstructures. An investigation of the influence of interfacial material properties, voids, and the spatial arrangement of inclusions shows a pronounced effect of these parameters on the fracture toughness of the material."}],"publisher":"MDPI AG","date_created":"2025-01-21T13:48:05Z","title":"Comparative Analysis of Phase-Field and Intrinsic Cohesive Zone Models for Fracture Simulations in Multiphase Materials with Interfaces: Investigation of the Influence of the Microstructure on the Fracture Properties","quality_controlled":"1","issue":"1","year":"2024"},{"quality_controlled":"1","publication_identifier":{"issn":["0178-7675","1432-0924"]},"publication_status":"published","issue":"4","year":"2024","page":"1377-1406","intvolume":" 75","citation":{"chicago":"Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald, and Rolf Lammering. “Introducing a Microstructure-Embedded Autoencoder Approach for Reconstructing High-Resolution Solution Field Data from a Reduced Parametric Space.” Computational Mechanics 75, no. 4 (2024): 1377–1406. https://doi.org/10.1007/s00466-024-02568-z.","ieee":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space,” Computational Mechanics, vol. 75, no. 4, pp. 1377–1406, 2024, doi: 10.1007/s00466-024-02568-z.","ama":"Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space. Computational Mechanics. 2024;75(4):1377-1406. doi:10.1007/s00466-024-02568-z","apa":"Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R. (2024). Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space. Computational Mechanics, 75(4), 1377–1406. https://doi.org/10.1007/s00466-024-02568-z","bibtex":"@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space}, volume={75}, DOI={10.1007/s00466-024-02568-z}, number={4}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Najafi Koopas, Rasoul and Rezaei, Shahed and Rauter, Natalie and Ostwald, Richard and Lammering, Rolf}, year={2024}, pages={1377–1406} }","short":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Computational Mechanics 75 (2024) 1377–1406.","mla":"Najafi Koopas, Rasoul, et al. “Introducing a Microstructure-Embedded Autoencoder Approach for Reconstructing High-Resolution Solution Field Data from a Reduced Parametric Space.” Computational Mechanics, vol. 75, no. 4, Springer Science and Business Media LLC, 2024, pp. 1377–406, doi:10.1007/s00466-024-02568-z."},"date_updated":"2025-12-03T12:51:26Z","publisher":"Springer Science and Business Media LLC","volume":75,"author":[{"full_name":"Najafi Koopas, Rasoul","last_name":"Najafi Koopas","first_name":"Rasoul"},{"first_name":"Shahed","last_name":"Rezaei","full_name":"Rezaei, Shahed"},{"first_name":"Natalie","last_name":"Rauter","full_name":"Rauter, Natalie"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald"},{"first_name":"Rolf","full_name":"Lammering, Rolf","last_name":"Lammering"}],"date_created":"2025-12-03T12:37:08Z","title":"Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space","doi":"10.1007/s00466-024-02568-z","publication":"Computational Mechanics","type":"journal_article","abstract":[{"text":"Abstract\r\n In this study, we develop a novel multi-fidelity deep learning approach that transforms low-fidelity solution maps into high-fidelity ones by incorporating parametric space information into an autoencoder architecture. This method’s integration of parametric space information significantly reduces the amount of training data needed to effectively predict high-fidelity solutions from low-fidelity ones. In this study, we examine a two-dimensional steady-state heat transfer analysis within a heterogeneous materials microstructure. The heat conductivity coefficients for two different materials are condensed from a 101 \r\n \r\n $$\\times $$\r\n \r\n ×\r\n \r\n \r\n 101 grid to smaller grids. We then solve the boundary value problem on the coarsest grid using a pre-trained physics-informed neural operator network known as Finite Operator Learning (FOL). The resulting low-fidelity solution is subsequently upscaled back to a 101 \r\n \r\n $$\\times $$\r\n \r\n ×\r\n \r\n \r\n 101 grid using a newly designed enhanced autoencoder. The novelty of the developed enhanced autoencoder lies in the concatenation of heat conductivity maps of different resolutions to the decoder segment in distinct steps. Hence the developed algorithm is named microstructure-embedded autoencoder (MEA). We compare the MEA outcomes with those from finite element methods, the standard U-Net, and an interpolation approach as an upscaling technique. Our analysis shows that MEA outperforms these methods in terms of computational efficiency and error on representative test cases. As a result, the MEA serves as a potential supplement to neural operator networks, effectively upscaling low-fidelity solutions to high-fidelity while preserving critical details often lost in traditional upscaling methods, such as sharp interfaces features lost in the context of interpolation approaches.","lang":"eng"}],"status":"public","_id":"62767","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","language":[{"iso":"eng"}]},{"citation":{"short":"J. Gerlach, R. Schulte, A. Schowtjak, T. Clausmeyer, R. Ostwald, A.E. Tekkaya, A. Menzel, Archive of Applied Mechanics 94 (2024) 2217–2242.","bibtex":"@article{Gerlach_Schulte_Schowtjak_Clausmeyer_Ostwald_Tekkaya_Menzel_2024, title={Enhancing damage prediction in bulk metal forming through machine learning-assisted parameter identification}, volume={94}, DOI={10.1007/s00419-024-02634-1}, number={8}, journal={Archive of Applied Mechanics}, publisher={Springer Science and Business Media LLC}, author={Gerlach, Jan and Schulte, Robin and Schowtjak, Alexander and Clausmeyer, Till and Ostwald, Richard and Tekkaya, A. Erman and Menzel, Andreas}, year={2024}, pages={2217–2242} }","mla":"Gerlach, Jan, et al. “Enhancing Damage Prediction in Bulk Metal Forming through Machine Learning-Assisted Parameter Identification.” Archive of Applied Mechanics, vol. 94, no. 8, Springer Science and Business Media LLC, 2024, pp. 2217–42, doi:10.1007/s00419-024-02634-1.","apa":"Gerlach, J., Schulte, R., Schowtjak, A., Clausmeyer, T., Ostwald, R., Tekkaya, A. E., & Menzel, A. (2024). Enhancing damage prediction in bulk metal forming through machine learning-assisted parameter identification. Archive of Applied Mechanics, 94(8), 2217–2242. https://doi.org/10.1007/s00419-024-02634-1","ieee":"J. Gerlach et al., “Enhancing damage prediction in bulk metal forming through machine learning-assisted parameter identification,” Archive of Applied Mechanics, vol. 94, no. 8, pp. 2217–2242, 2024, doi: 10.1007/s00419-024-02634-1.","chicago":"Gerlach, Jan, Robin Schulte, Alexander Schowtjak, Till Clausmeyer, Richard Ostwald, A. Erman Tekkaya, and Andreas Menzel. “Enhancing Damage Prediction in Bulk Metal Forming through Machine Learning-Assisted Parameter Identification.” Archive of Applied Mechanics 94, no. 8 (2024): 2217–42. https://doi.org/10.1007/s00419-024-02634-1.","ama":"Gerlach J, Schulte R, Schowtjak A, et al. Enhancing damage prediction in bulk metal forming through machine learning-assisted parameter identification. Archive of Applied Mechanics. 2024;94(8):2217-2242. doi:10.1007/s00419-024-02634-1"},"page":"2217-2242","intvolume":" 94","year":"2024","issue":"8","publication_status":"published","publication_identifier":{"issn":["0939-1533","1432-0681"]},"quality_controlled":"1","doi":"10.1007/s00419-024-02634-1","title":"Enhancing damage prediction in bulk metal forming through machine learning-assisted parameter identification","date_created":"2025-12-03T12:46:31Z","author":[{"first_name":"Jan","last_name":"Gerlach","full_name":"Gerlach, Jan"},{"first_name":"Robin","full_name":"Schulte, Robin","last_name":"Schulte"},{"first_name":"Alexander","last_name":"Schowtjak","full_name":"Schowtjak, Alexander"},{"full_name":"Clausmeyer, Till","last_name":"Clausmeyer","first_name":"Till"},{"id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"},{"last_name":"Tekkaya","full_name":"Tekkaya, A. Erman","first_name":"A. Erman"},{"first_name":"Andreas","full_name":"Menzel, Andreas","last_name":"Menzel"}],"volume":94,"date_updated":"2025-12-03T12:50:41Z","publisher":"Springer Science and Business Media LLC","status":"public","abstract":[{"text":"AbstractThe open-source parameter identification tool ADAPT (A diversely applicable parameter identification Tool) is integrated with a machine learning-based approach for start value prediction in order to calibrate a Gurson–Tvergaard–Needleman (GTN) and a Lemaitre damage model. As representative example case-hardened steel 16MnCrS5 is elaborated. An artificial neural network (ANN) is initially trained by using load–displacement curves derived from simulations of a boundary value problem—instead of using data generated for homogeneous states of deformation at material point or one-element level—with varying material parameter combinations. The ANN is then employed so as to predict sets of material parameters that already provide close solutions to the experiment. These predicted parameter sets serve as starting values for a subsequent multi-objective parameter identification by using ADAPT. ADAPT allows for the consideration of input data from multiple scales, including integral data such as load–displacement curves, full-field data such as displacement and strain fields, and high-resolution experimental void data at the micro-scale. The influence of each data set on prediction quality is analyzed. Using various types of input data introduces additional information, enhancing prediction accuracy. The validation is carried out with respect to experimental void measurements of forward rod extruded parts. The results demonstrate, by incorporating void measurements in the optimization process, that it is possible to improve the quantitative prediction of ductile damage in the sense of void area fractions by factor 28 in forward rod extrusion.","lang":"eng"}],"type":"journal_article","publication":"Archive of Applied Mechanics","language":[{"iso":"eng"}],"user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62770"},{"status":"public","type":"journal_article","publication":"Engineering Fracture Mechanics","language":[{"iso":"eng"}],"article_number":"110675","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62768","citation":{"ama":"Najafi Koopas R, Rezaei S, Rauter N, Ostwald R, Lammering R. A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture properties. Engineering Fracture Mechanics. 2024;314. doi:10.1016/j.engfracmech.2024.110675","chicago":"Najafi Koopas, Rasoul, Shahed Rezaei, Natalie Rauter, Richard Ostwald, and Rolf Lammering. “A Spatiotemporal Deep Learning Framework for Prediction of Crack Dynamics in Heterogeneous Solids: Efficient Mapping of Concrete Microstructures to Its Fracture Properties.” Engineering Fracture Mechanics 314 (2024). https://doi.org/10.1016/j.engfracmech.2024.110675.","ieee":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, and R. Lammering, “A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture properties,” Engineering Fracture Mechanics, vol. 314, Art. no. 110675, 2024, doi: 10.1016/j.engfracmech.2024.110675.","mla":"Najafi Koopas, Rasoul, et al. “A Spatiotemporal Deep Learning Framework for Prediction of Crack Dynamics in Heterogeneous Solids: Efficient Mapping of Concrete Microstructures to Its Fracture Properties.” Engineering Fracture Mechanics, vol. 314, 110675, Elsevier BV, 2024, doi:10.1016/j.engfracmech.2024.110675.","bibtex":"@article{Najafi Koopas_Rezaei_Rauter_Ostwald_Lammering_2024, title={A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture properties}, volume={314}, DOI={10.1016/j.engfracmech.2024.110675}, number={110675}, journal={Engineering Fracture Mechanics}, publisher={Elsevier BV}, author={Najafi Koopas, Rasoul and Rezaei, Shahed and Rauter, Natalie and Ostwald, Richard and Lammering, Rolf}, year={2024} }","short":"R. Najafi Koopas, S. Rezaei, N. Rauter, R. Ostwald, R. Lammering, Engineering Fracture Mechanics 314 (2024).","apa":"Najafi Koopas, R., Rezaei, S., Rauter, N., Ostwald, R., & Lammering, R. (2024). A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture properties. Engineering Fracture Mechanics, 314, Article 110675. https://doi.org/10.1016/j.engfracmech.2024.110675"},"intvolume":" 314","year":"2024","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0013-7944"]},"doi":"10.1016/j.engfracmech.2024.110675","title":"A spatiotemporal deep learning framework for prediction of crack dynamics in heterogeneous solids: Efficient mapping of concrete microstructures to its fracture properties","date_created":"2025-12-03T12:40:42Z","author":[{"last_name":"Najafi Koopas","full_name":"Najafi Koopas, Rasoul","first_name":"Rasoul"},{"first_name":"Shahed","last_name":"Rezaei","full_name":"Rezaei, Shahed"},{"first_name":"Natalie","last_name":"Rauter","full_name":"Rauter, Natalie"},{"full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"},{"first_name":"Rolf","full_name":"Lammering, Rolf","last_name":"Lammering"}],"volume":314,"date_updated":"2025-12-03T12:51:12Z","publisher":"Elsevier BV"},{"publication":"European Journal of Mechanics - A/Solids","type":"journal_article","status":"public","_id":"62771","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","article_number":"104854","language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"issn":["0997-7538"]},"publication_status":"published","year":"2022","intvolume":" 98","citation":{"apa":"Schulte, R., Karca, C., Ostwald, R., & Menzel, A. (2022). Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences. European Journal of Mechanics - A/Solids, 98, Article 104854. https://doi.org/10.1016/j.euromechsol.2022.104854","bibtex":"@article{Schulte_Karca_Ostwald_Menzel_2022, title={Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences}, volume={98}, DOI={10.1016/j.euromechsol.2022.104854}, number={104854}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier BV}, author={Schulte, Robin and Karca, Cavid and Ostwald, Richard and Menzel, Andreas}, year={2022} }","mla":"Schulte, Robin, et al. “Machine Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated Loading Path Sequences.” European Journal of Mechanics - A/Solids, vol. 98, 104854, Elsevier BV, 2022, doi:10.1016/j.euromechsol.2022.104854.","short":"R. Schulte, C. Karca, R. Ostwald, A. Menzel, European Journal of Mechanics - A/Solids 98 (2022).","chicago":"Schulte, Robin, Cavid Karca, Richard Ostwald, and Andreas Menzel. “Machine Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated Loading Path Sequences.” European Journal of Mechanics - A/Solids 98 (2022). https://doi.org/10.1016/j.euromechsol.2022.104854.","ieee":"R. Schulte, C. Karca, R. Ostwald, and A. Menzel, “Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences,” European Journal of Mechanics - A/Solids, vol. 98, Art. no. 104854, 2022, doi: 10.1016/j.euromechsol.2022.104854.","ama":"Schulte R, Karca C, Ostwald R, Menzel A. Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences. European Journal of Mechanics - A/Solids. 2022;98. doi:10.1016/j.euromechsol.2022.104854"},"publisher":"Elsevier BV","date_updated":"2025-12-03T12:50:06Z","volume":98,"date_created":"2025-12-03T12:49:17Z","author":[{"first_name":"Robin","last_name":"Schulte","full_name":"Schulte, Robin"},{"last_name":"Karca","full_name":"Karca, Cavid","first_name":"Cavid"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"full_name":"Menzel, Andreas","last_name":"Menzel","first_name":"Andreas"}],"title":"Machine learning-assisted parameter identification for constitutive models based on concatenated loading path sequences","doi":"10.1016/j.euromechsol.2022.104854"},{"title":"A computational framework for gradient‐enhanced damage – implementation and applications","doi":"10.1002/pamm.202000215","publisher":"Wiley","date_updated":"2025-12-03T12:53:32Z","volume":20,"date_created":"2025-12-03T12:52:35Z","author":[{"full_name":"Schulte, Robin","last_name":"Schulte","first_name":"Robin"},{"first_name":"Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444","id":"106876","full_name":"Ostwald, Richard"},{"full_name":"Menzel, Andreas","last_name":"Menzel","first_name":"Andreas"}],"year":"2021","intvolume":" 20","citation":{"apa":"Schulte, R., Ostwald, R., & Menzel, A. (2021). A computational framework for gradient‐enhanced damage – implementation and applications. PAMM, 20(1), Article e202000215. https://doi.org/10.1002/pamm.202000215","short":"R. Schulte, R. Ostwald, A. Menzel, PAMM 20 (2021).","mla":"Schulte, Robin, et al. “A Computational Framework for Gradient‐enhanced Damage – Implementation and Applications.” PAMM, vol. 20, no. 1, e202000215, Wiley, 2021, doi:10.1002/pamm.202000215.","bibtex":"@article{Schulte_Ostwald_Menzel_2021, title={A computational framework for gradient‐enhanced damage – implementation and applications}, volume={20}, DOI={10.1002/pamm.202000215}, number={1e202000215}, journal={PAMM}, publisher={Wiley}, author={Schulte, Robin and Ostwald, Richard and Menzel, Andreas}, year={2021} }","ama":"Schulte R, Ostwald R, Menzel A. A computational framework for gradient‐enhanced damage – implementation and applications. PAMM. 2021;20(1). doi:10.1002/pamm.202000215","chicago":"Schulte, Robin, Richard Ostwald, and Andreas Menzel. “A Computational Framework for Gradient‐enhanced Damage – Implementation and Applications.” PAMM 20, no. 1 (2021). https://doi.org/10.1002/pamm.202000215.","ieee":"R. Schulte, R. Ostwald, and A. Menzel, “A computational framework for gradient‐enhanced damage – implementation and applications,” PAMM, vol. 20, no. 1, Art. no. e202000215, 2021, doi: 10.1002/pamm.202000215."},"quality_controlled":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","issue":"1","article_number":"e202000215","language":[{"iso":"eng"}],"_id":"62773","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","abstract":[{"lang":"eng","text":"AbstractA gradient‐enhanced damage model is combined with finite viscoelasticity and implemented in an Abaqus user subroutine, exploiting the heat equation solution capabilities for the damage regularisation, in order to simulate soft polymers. This regularised damage approach provides the advantage of mesh independent results and avoids localisation effects. In this work, a self‐diagnostic poly(dimethylsiloxane) (PDMS) elastomer is chosen as an example. To this end, an efficient two‐step parameter identification framework is developed to calibrate the corresponding model parameters."}],"status":"public","publication":"PAMM","type":"journal_article"},{"date_updated":"2025-12-03T12:53:27Z","publisher":"Elsevier BV","volume":213,"author":[{"full_name":"Schowtjak, Alexander","last_name":"Schowtjak","first_name":"Alexander"},{"full_name":"Schulte, Robin","last_name":"Schulte","first_name":"Robin"},{"last_name":"Clausmeyer","full_name":"Clausmeyer, Till","first_name":"Till"},{"id":"106876","full_name":"Ostwald, Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444","first_name":"Richard"},{"first_name":"A. Erman","full_name":"Tekkaya, A. Erman","last_name":"Tekkaya"},{"first_name":"Andreas","full_name":"Menzel, Andreas","last_name":"Menzel"}],"date_created":"2025-12-03T12:51:45Z","title":"ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and full-field application examples","doi":"10.1016/j.ijmecsci.2021.106840","publication_identifier":{"issn":["0020-7403"]},"quality_controlled":"1","publication_status":"published","year":"2021","intvolume":" 213","citation":{"apa":"Schowtjak, A., Schulte, R., Clausmeyer, T., Ostwald, R., Tekkaya, A. E., & Menzel, A. (2021). ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and full-field application examples. International Journal of Mechanical Sciences, 213, Article 106840. https://doi.org/10.1016/j.ijmecsci.2021.106840","short":"A. Schowtjak, R. Schulte, T. Clausmeyer, R. Ostwald, A.E. Tekkaya, A. Menzel, International Journal of Mechanical Sciences 213 (2021).","mla":"Schowtjak, Alexander, et al. “ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and Full-Field Application Examples.” International Journal of Mechanical Sciences, vol. 213, 106840, Elsevier BV, 2021, doi:10.1016/j.ijmecsci.2021.106840.","bibtex":"@article{Schowtjak_Schulte_Clausmeyer_Ostwald_Tekkaya_Menzel_2021, title={ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and full-field application examples}, volume={213}, DOI={10.1016/j.ijmecsci.2021.106840}, number={106840}, journal={International Journal of Mechanical Sciences}, publisher={Elsevier BV}, author={Schowtjak, Alexander and Schulte, Robin and Clausmeyer, Till and Ostwald, Richard and Tekkaya, A. Erman and Menzel, Andreas}, year={2021} }","ama":"Schowtjak A, Schulte R, Clausmeyer T, Ostwald R, Tekkaya AE, Menzel A. ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and full-field application examples. International Journal of Mechanical Sciences. 2021;213. doi:10.1016/j.ijmecsci.2021.106840","chicago":"Schowtjak, Alexander, Robin Schulte, Till Clausmeyer, Richard Ostwald, A. Erman Tekkaya, and Andreas Menzel. “ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and Full-Field Application Examples.” International Journal of Mechanical Sciences 213 (2021). https://doi.org/10.1016/j.ijmecsci.2021.106840.","ieee":"A. Schowtjak, R. Schulte, T. Clausmeyer, R. Ostwald, A. E. Tekkaya, and A. Menzel, “ADAPT — A Diversely Applicable Parameter Identification Tool: Overview and full-field application examples,” International Journal of Mechanical Sciences, vol. 213, Art. no. 106840, 2021, doi: 10.1016/j.ijmecsci.2021.106840."},"_id":"62772","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","article_number":"106840","language":[{"iso":"eng"}],"publication":"International Journal of Mechanical Sciences","type":"journal_article","status":"public"},{"publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["1996-1944"]},"issue":"14","year":"2020","citation":{"apa":"Schulte, R., Ostwald, R., & Menzel, A. (2020). Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework. Materials, 13(14), Article 3156. https://doi.org/10.3390/ma13143156","mla":"Schulte, Robin, et al. “Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework.” Materials, vol. 13, no. 14, 3156, MDPI AG, 2020, doi:10.3390/ma13143156.","short":"R. Schulte, R. Ostwald, A. Menzel, Materials 13 (2020).","bibtex":"@article{Schulte_Ostwald_Menzel_2020, title={Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework}, volume={13}, DOI={10.3390/ma13143156}, number={143156}, journal={Materials}, publisher={MDPI AG}, author={Schulte, Robin and Ostwald, Richard and Menzel, Andreas}, year={2020} }","ieee":"R. Schulte, R. Ostwald, and A. Menzel, “Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework,” Materials, vol. 13, no. 14, Art. no. 3156, 2020, doi: 10.3390/ma13143156.","chicago":"Schulte, Robin, Richard Ostwald, and Andreas Menzel. “Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework.” Materials 13, no. 14 (2020). https://doi.org/10.3390/ma13143156.","ama":"Schulte R, Ostwald R, Menzel A. Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework. 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This work introduces an optimisation-based scheme for the calibration of viscoelastic material models that are coupled to gradient-enhanced damage in a finite strain setting. The parameter identification scheme is applied to a self-diagnostic poly(dimethylsiloxane) (PDMS) elastomer, where so-called mechanophore units are incorporated within the polymeric microstructure. The present contribution, however, focuses on the purely mechanical response of the material, combining experiments with homogeneous and inhomogeneous states of deformation. In effect, the results provided lay the groundwork for a future extension of the proposed parameter identification framework, where additional field-data provided by the self-diagnostic capabilities can be incorporated into the optimisation scheme."}],"status":"public","_id":"62777","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"article_number":"3156","language":[{"iso":"eng"}]},{"type":"journal_article","publication":"Production Engineering","status":"public","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62778","language":[{"iso":"eng"}],"issue":"1","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0944-6524","1863-7353"]},"citation":{"ama":"Langenfeld K, Schowtjak A, Schulte R, et al. Influence of anisotropic damage evolution on cold forging. Production Engineering. 2020;14(1):115-121. doi:10.1007/s11740-019-00942-y","chicago":"Langenfeld, Kai, Alexander Schowtjak, Robin Schulte, Oliver Hering, Kerstin Möhring, Till Clausmeyer, Richard Ostwald, Frank Walther, A. Erman Tekkaya, and Jörn Mosler. “Influence of Anisotropic Damage Evolution on Cold Forging.” Production Engineering 14, no. 1 (2020): 115–21. https://doi.org/10.1007/s11740-019-00942-y.","ieee":"K. Langenfeld et al., “Influence of anisotropic damage evolution on cold forging,” Production Engineering, vol. 14, no. 1, pp. 115–121, 2020, doi: 10.1007/s11740-019-00942-y.","apa":"Langenfeld, K., Schowtjak, A., Schulte, R., Hering, O., Möhring, K., Clausmeyer, T., Ostwald, R., Walther, F., Tekkaya, A. E., & Mosler, J. (2020). Influence of anisotropic damage evolution on cold forging. Production Engineering, 14(1), 115–121. https://doi.org/10.1007/s11740-019-00942-y","mla":"Langenfeld, Kai, et al. “Influence of Anisotropic Damage Evolution on Cold Forging.” Production Engineering, vol. 14, no. 1, Springer Science and Business Media LLC, 2020, pp. 115–21, doi:10.1007/s11740-019-00942-y.","bibtex":"@article{Langenfeld_Schowtjak_Schulte_Hering_Möhring_Clausmeyer_Ostwald_Walther_Tekkaya_Mosler_2020, title={Influence of anisotropic damage evolution on cold forging}, volume={14}, DOI={10.1007/s11740-019-00942-y}, number={1}, journal={Production Engineering}, publisher={Springer Science and Business Media LLC}, author={Langenfeld, Kai and Schowtjak, Alexander and Schulte, Robin and Hering, Oliver and Möhring, Kerstin and Clausmeyer, Till and Ostwald, Richard and Walther, Frank and Tekkaya, A. Erman and Mosler, Jörn}, year={2020}, pages={115–121} }","short":"K. Langenfeld, A. Schowtjak, R. Schulte, O. Hering, K. Möhring, T. Clausmeyer, R. Ostwald, F. Walther, A.E. Tekkaya, J. Mosler, Production Engineering 14 (2020) 115–121."},"page":"115-121","intvolume":" 14","year":"2020","author":[{"last_name":"Langenfeld","full_name":"Langenfeld, Kai","first_name":"Kai"},{"full_name":"Schowtjak, Alexander","last_name":"Schowtjak","first_name":"Alexander"},{"first_name":"Robin","last_name":"Schulte","full_name":"Schulte, Robin"},{"full_name":"Hering, Oliver","last_name":"Hering","first_name":"Oliver"},{"last_name":"Möhring","full_name":"Möhring, Kerstin","first_name":"Kerstin"},{"full_name":"Clausmeyer, Till","last_name":"Clausmeyer","first_name":"Till"},{"full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"},{"first_name":"Frank","last_name":"Walther","full_name":"Walther, Frank"},{"last_name":"Tekkaya","full_name":"Tekkaya, A. Erman","first_name":"A. Erman"},{"full_name":"Mosler, Jörn","last_name":"Mosler","first_name":"Jörn"}],"date_created":"2025-12-03T13:01:20Z","volume":14,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-03T13:02:23Z","doi":"10.1007/s11740-019-00942-y","title":"Influence of anisotropic damage evolution on cold forging"},{"volume":47,"date_created":"2025-12-03T12:58:23Z","author":[{"full_name":"Clausmeyer, Till","last_name":"Clausmeyer","first_name":"Till"},{"last_name":"Schowtjak","full_name":"Schowtjak, Alexander","first_name":"Alexander"},{"first_name":"Shuhan","last_name":"Wang","full_name":"Wang, Shuhan"},{"first_name":"Robin","full_name":"Gitschel, Robin","last_name":"Gitschel"},{"last_name":"Hering","full_name":"Hering, Oliver","first_name":"Oliver"},{"first_name":"Pavlo","last_name":"Pavliuchenko","full_name":"Pavliuchenko, Pavlo"},{"last_name":"Lohmar","full_name":"Lohmar, Johannes","first_name":"Johannes"},{"first_name":"Richard","id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald"},{"full_name":"Hirt, Gerhard","last_name":"Hirt","first_name":"Gerhard"},{"full_name":"Tekkaya, A. 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Clausmeyer et al., “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion,” Procedia Manufacturing, vol. 47, pp. 649–655, 2020, doi: 10.1016/j.promfg.2020.04.201.","chicago":"Clausmeyer, Till, Alexander Schowtjak, Shuhan Wang, Robin Gitschel, Oliver Hering, Pavlo Pavliuchenko, Johannes Lohmar, Richard Ostwald, Gerhard Hirt, and A. Erman Tekkaya. “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion.” Procedia Manufacturing 47 (2020): 649–55. https://doi.org/10.1016/j.promfg.2020.04.201.","apa":"Clausmeyer, T., Schowtjak, A., Wang, S., Gitschel, R., Hering, O., Pavliuchenko, P., Lohmar, J., Ostwald, R., Hirt, G., & Tekkaya, A. E. (2020). Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion. Procedia Manufacturing, 47, 649–655. https://doi.org/10.1016/j.promfg.2020.04.201","bibtex":"@article{Clausmeyer_Schowtjak_Wang_Gitschel_Hering_Pavliuchenko_Lohmar_Ostwald_Hirt_Tekkaya_2020, title={Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion}, volume={47}, DOI={10.1016/j.promfg.2020.04.201}, journal={Procedia Manufacturing}, publisher={Elsevier BV}, author={Clausmeyer, Till and Schowtjak, Alexander and Wang, Shuhan and Gitschel, Robin and Hering, Oliver and Pavliuchenko, Pavlo and Lohmar, Johannes and Ostwald, Richard and Hirt, Gerhard and Tekkaya, A. Erman}, year={2020}, pages={649–655} }","short":"T. Clausmeyer, A. Schowtjak, S. Wang, R. Gitschel, O. Hering, P. Pavliuchenko, J. Lohmar, R. Ostwald, G. Hirt, A.E. Tekkaya, Procedia Manufacturing 47 (2020) 649–655.","mla":"Clausmeyer, Till, et al. “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion.” Procedia Manufacturing, vol. 47, Elsevier BV, 2020, pp. 649–55, doi:10.1016/j.promfg.2020.04.201."},"year":"2020","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62776","language":[{"iso":"eng"}],"publication":"Procedia Manufacturing","type":"journal_article","status":"public"},{"_id":"62775","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Production Engineering","status":"public","date_updated":"2025-12-03T12:57:33Z","publisher":"Springer Science and Business Media LLC","date_created":"2025-12-03T12:56:37Z","author":[{"last_name":"Schowtjak","full_name":"Schowtjak, Alexander","first_name":"Alexander"},{"first_name":"Shuhan","last_name":"Wang","full_name":"Wang, Shuhan"},{"first_name":"Oliver","full_name":"Hering, Oliver","last_name":"Hering"},{"last_name":"Clausmeyer","full_name":"Clausmeyer, Till","first_name":"Till"},{"last_name":"Lohmar","full_name":"Lohmar, Johannes","first_name":"Johannes"},{"first_name":"Robin","last_name":"Schulte","full_name":"Schulte, Robin"},{"first_name":"Richard","id":"106876","full_name":"Ostwald, Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"first_name":"Gerhard","full_name":"Hirt, Gerhard","last_name":"Hirt"},{"first_name":"A. Erman","last_name":"Tekkaya","full_name":"Tekkaya, A. Erman"}],"volume":14,"title":"Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion","doi":"10.1007/s11740-019-00935-x","publication_status":"published","publication_identifier":{"issn":["0944-6524","1863-7353"]},"quality_controlled":"1","issue":"1","year":"2019","citation":{"chicago":"Schowtjak, Alexander, Shuhan Wang, Oliver Hering, Till Clausmeyer, Johannes Lohmar, Robin Schulte, Richard Ostwald, Gerhard Hirt, and A. Erman Tekkaya. “Prediction and Analysis of Damage Evolution during Caliber Rolling and Subsequent Cold Forward Extrusion.” Production Engineering 14, no. 1 (2019): 33–41. https://doi.org/10.1007/s11740-019-00935-x.","ieee":"A. Schowtjak et al., “Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion,” Production Engineering, vol. 14, no. 1, pp. 33–41, 2019, doi: 10.1007/s11740-019-00935-x.","ama":"Schowtjak A, Wang S, Hering O, et al. Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion. Production Engineering. 2019;14(1):33-41. doi:10.1007/s11740-019-00935-x","short":"A. Schowtjak, S. Wang, O. Hering, T. Clausmeyer, J. Lohmar, R. Schulte, R. Ostwald, G. Hirt, A.E. Tekkaya, Production Engineering 14 (2019) 33–41.","bibtex":"@article{Schowtjak_Wang_Hering_Clausmeyer_Lohmar_Schulte_Ostwald_Hirt_Tekkaya_2019, title={Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion}, volume={14}, DOI={10.1007/s11740-019-00935-x}, number={1}, journal={Production Engineering}, publisher={Springer Science and Business Media LLC}, author={Schowtjak, Alexander and Wang, Shuhan and Hering, Oliver and Clausmeyer, Till and Lohmar, Johannes and Schulte, Robin and Ostwald, Richard and Hirt, Gerhard and Tekkaya, A. Erman}, year={2019}, pages={33–41} }","mla":"Schowtjak, Alexander, et al. “Prediction and Analysis of Damage Evolution during Caliber Rolling and Subsequent Cold Forward Extrusion.” Production Engineering, vol. 14, no. 1, Springer Science and Business Media LLC, 2019, pp. 33–41, doi:10.1007/s11740-019-00935-x.","apa":"Schowtjak, A., Wang, S., Hering, O., Clausmeyer, T., Lohmar, J., Schulte, R., Ostwald, R., Hirt, G., & Tekkaya, A. E. (2019). Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion. Production Engineering, 14(1), 33–41. https://doi.org/10.1007/s11740-019-00935-x"},"intvolume":" 14","page":"33-41"},{"status":"public","publication":"Computational Mechanics","type":"journal_article","language":[{"iso":"eng"}],"_id":"62779","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","year":"2019","page":"847-877","intvolume":" 64","citation":{"short":"R. Ostwald, E. Kuhl, A. Menzel, Computational Mechanics 64 (2019) 847–877.","mla":"Ostwald, Richard, et al. “On the Implementation of Finite Deformation Gradient-Enhanced Damage Models.” Computational Mechanics, vol. 64, no. 3, Springer Science and Business Media LLC, 2019, pp. 847–77, doi:10.1007/s00466-019-01684-5.","bibtex":"@article{Ostwald_Kuhl_Menzel_2019, title={On the implementation of finite deformation gradient-enhanced damage models}, volume={64}, DOI={10.1007/s00466-019-01684-5}, number={3}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Ostwald, Richard and Kuhl, Ellen and Menzel, Andreas}, year={2019}, pages={847–877} }","apa":"Ostwald, R., Kuhl, E., & Menzel, A. (2019). On the implementation of finite deformation gradient-enhanced damage models. Computational Mechanics, 64(3), 847–877. https://doi.org/10.1007/s00466-019-01684-5","ieee":"R. Ostwald, E. Kuhl, and A. 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Computational Mechanics. 2019;64(3):847-877. doi:10.1007/s00466-019-01684-5"},"quality_controlled":"1","publication_identifier":{"issn":["0178-7675","1432-0924"]},"publication_status":"published","issue":"3","title":"On the implementation of finite deformation gradient-enhanced damage models","doi":"10.1007/s00466-019-01684-5","date_updated":"2025-12-03T13:03:51Z","publisher":"Springer Science and Business Media LLC","volume":64,"date_created":"2025-12-03T13:02:41Z","author":[{"last_name":"Ostwald","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard","id":"106876","first_name":"Richard"},{"full_name":"Kuhl, Ellen","last_name":"Kuhl","first_name":"Ellen"},{"first_name":"Andreas","last_name":"Menzel","full_name":"Menzel, Andreas"}]},{"citation":{"mla":"Ostwald, Richard, et al. “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION.” Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017, doi:10.7712/100016.1945.10899.","short":"R. Ostwald, T. Bartel, A. Menzel, in: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017.","bibtex":"@inproceedings{Ostwald_Bartel_Menzel_2017, title={A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION}, DOI={10.7712/100016.1945.10899}, booktitle={Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)}, publisher={Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2017} }","apa":"Ostwald, R., Bartel, T., & Menzel, A. (2017). A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION. Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016). https://doi.org/10.7712/100016.1945.10899","ama":"Ostwald R, Bartel T, Menzel A. A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016). Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece; 2017. doi:10.7712/100016.1945.10899","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION.” In Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016). Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017. https://doi.org/10.7712/100016.1945.10899.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION,” 2017, doi: 10.7712/100016.1945.10899."},"year":"2017","publication_status":"published","quality_controlled":"1","doi":"10.7712/100016.1945.10899","title":"A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION","date_created":"2025-12-03T13:07:09Z","author":[{"first_name":"Richard","id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald"},{"full_name":"Bartel, Thorsten","last_name":"Bartel","first_name":"Thorsten"},{"first_name":"Andreas","full_name":"Menzel, Andreas","last_name":"Menzel"}],"date_updated":"2025-12-03T13:08:15Z","publisher":"Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece","status":"public","type":"conference","publication":"Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)","language":[{"iso":"eng"}],"user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62781"}]