[{"type":"journal_article","publication":"Mathematics and Mechanics of Solids","status":"public","abstract":[{"lang":"eng","text":"<jats:p>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.</jats:p>"}],"user_id":"85414","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"_id":"64187","language":[{"iso":"eng"}],"article_number":"10812865261420809","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["1081-2865","1741-3028"]},"citation":{"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,” <i>Mathematics and Mechanics of Solids</i>, Art. no. 10812865261420808, 2026, doi: <a href=\"https://doi.org/10.1177/10812865261420809\">10.1177/10812865261420809</a>.","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.” <i>Mathematics and Mechanics of Solids</i>, 2026. <a href=\"https://doi.org/10.1177/10812865261420809\">https://doi.org/10.1177/10812865261420809</a>.","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. <i>Mathematics and Mechanics of Solids</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1177/10812865261420809\">10.1177/10812865261420809</a>","mla":"Zhan, Yingjie, et al. “A Fully Implicit Mean-Field Damage Formulation with Consistent Linearization at Large Deformations.” <i>Mathematics and Mechanics of Solids</i>, 10812865261420808, SAGE Publications, 2026, doi:<a href=\"https://doi.org/10.1177/10812865261420809\">10.1177/10812865261420809</a>.","short":"Y. Zhan, I. Caylak, R. Ostwald, R. Mahnken, E. Barth, E. Uhlmann, Mathematics and Mechanics of Solids (2026).","bibtex":"@article{Zhan_Caylak_Ostwald_Mahnken_Barth_Uhlmann_2026, title={A fully implicit mean-field damage formulation with consistent linearization at large deformations}, DOI={<a href=\"https://doi.org/10.1177/10812865261420809\">10.1177/10812865261420809</a>}, 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} }","apa":"Zhan, Y., Caylak, I., Ostwald, R., Mahnken, R., Barth, E., &#38; Uhlmann, E. (2026). A fully implicit mean-field damage formulation with consistent linearization at large deformations. <i>Mathematics and Mechanics of Solids</i>, Article 10812865261420808. <a href=\"https://doi.org/10.1177/10812865261420809\">https://doi.org/10.1177/10812865261420809</a>"},"year":"2026","date_created":"2026-02-17T11:21:00Z","author":[{"first_name":"Yingjie","last_name":"Zhan","id":"93591","full_name":"Zhan, Yingjie"},{"last_name":"Caylak","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":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"},{"first_name":"Enrico","full_name":"Barth, Enrico","last_name":"Barth"},{"full_name":"Uhlmann, Eckart","last_name":"Uhlmann","first_name":"Eckart"}],"publisher":"SAGE Publications","date_updated":"2026-02-17T11:22:49Z","doi":"10.1177/10812865261420809","title":"A fully implicit mean-field damage formulation with consistent linearization at large deformations"},{"doi":"10.1002/pamm.202300114","title":"Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements","date_created":"2024-02-29T13:53:13Z","author":[{"first_name":"Ayoub","full_name":"Hamdoun, Ayoub","last_name":"Hamdoun"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"date_updated":"2024-02-29T13:58:38Z","publisher":"Wiley","citation":{"chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” <i>PAMM</i>, 2024. <a href=\"https://doi.org/10.1002/pamm.202300114\">https://doi.org/10.1002/pamm.202300114</a>.","ieee":"A. Hamdoun and R. Mahnken, “Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements,” <i>PAMM</i>, 2024, doi: <a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>.","ama":"Hamdoun A, Mahnken R. Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. <i>PAMM</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>","apa":"Hamdoun, A., &#38; Mahnken, R. (2024). Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300114\">https://doi.org/10.1002/pamm.202300114</a>","short":"A. Hamdoun, R. Mahnken, PAMM (2024).","bibtex":"@article{Hamdoun_Mahnken_2024, title={Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024} }","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” <i>PAMM</i>, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>."},"year":"2024","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","publication_status":"published","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"52217","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Polycarbonate (PC) is an amorphous polymer that is an extremely robust material with a high tenacity, and thus suitable for a lightweight construction with glass‐like transparency. Due to these advantageous properties, PC is often used in industry for example in medical devices, automotive headlamps, sporting equipment, electronics, and a variety of other products. PC is often subjected to uniaxial and biaxial loading conditions. Therefore, reliable material models have to take into account the various resulting experimental effects. For those reasons, we investigate PC specimens under uniaxial and biaxial loading by using different stretch rates and loading scenarios. In addition to that, we propose methods for optical measurement of local stretches to obtain the approximated local true stress. In future work, the displacement fields and the resulting reaction forces will be used for parameter identification of constitutive equations.</jats:p>","lang":"eng"}],"publication":"PAMM","type":"journal_article"},{"date_updated":"2024-02-29T13:58:14Z","volume":290,"author":[{"last_name":"Lenz","full_name":"Lenz, Peter","first_name":"Peter"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"}],"doi":"10.1016/j.ijsolstr.2023.112642","publication_identifier":{"issn":["0020-7683"]},"publication_status":"published","intvolume":"       290","citation":{"bibtex":"@article{Lenz_Mahnken_2024, title={Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains}, volume={290}, DOI={<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>}, number={112642}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2024} }","short":"P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).","mla":"Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” <i>International Journal of Solids and Structures</i>, vol. 290, 112642, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>.","apa":"Lenz, P., &#38; Mahnken, R. (2024). Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. <i>International Journal of Solids and Structures</i>, <i>290</i>, Article 112642. <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">https://doi.org/10.1016/j.ijsolstr.2023.112642</a>","chicago":"Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” <i>International Journal of Solids and Structures</i> 290 (2024). <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">https://doi.org/10.1016/j.ijsolstr.2023.112642</a>.","ieee":"P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains,” <i>International Journal of Solids and Structures</i>, vol. 290, Art. no. 112642, 2024, doi: <a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>.","ama":"Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. <i>International Journal of Solids and Structures</i>. 2024;290. doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2023.112642\">10.1016/j.ijsolstr.2023.112642</a>"},"_id":"52218","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","article_number":"112642","type":"journal_article","status":"public","publisher":"Elsevier BV","date_created":"2024-02-29T13:57:56Z","title":"Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains","quality_controlled":"1","year":"2024","keyword":["Applied Mathematics","Mechanical Engineering","Mechanics of Materials","Condensed Matter Physics","General Materials Science","Modeling and Simulation"],"language":[{"iso":"eng"}],"publication":"International Journal of Solids and Structures"},{"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"language":[{"iso":"eng"}],"_id":"52233","user_id":"335","department":[{"_id":"154"},{"_id":"321"}],"abstract":[{"lang":"eng","text":"ELDIRK methods are defined to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge-Kutta</jats:italic> methods, with the consequence, that no additional system of equations must be solved, compared to the embedded RK method. Two general formulations for second- and third-order ELDIRK methods have been obtained recently in Mahnken [21] with specific schemes,  e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule and the embedded Ellsiepen method. In the first part of this paper, we investigate some general stability characteristics of ELDIRK methods, and it will be shown that the above specific RK schemes are not A-stable. Therefore, in the second part, the above-mentioned general formulations are used for further stability investigations, with the aim to construct new second- and third-order ELDIRK methods which simultaneously are A-stable. Two numerical examples are concerned with the curing for a thermosetting material and phase-field RVE modeling for crystallinity and orientation. The numerical results confirm the theoretical results on convergence order and stability."}],"status":"public","type":"journal_article","publication":"Computational Mechanics","title":"Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods","doi":"10.1007/s00466-024-02442-y","publisher":"Springer Science and Business Media LLC","date_updated":"2024-03-19T12:14:07Z","author":[{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"},{"first_name":"Hendrik","id":"60816","full_name":"Westermann, Hendrik","orcid":"0000-0002-5034-9708","last_name":"Westermann"}],"date_created":"2024-03-03T13:23:28Z","year":"2024","citation":{"ieee":"R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” <i>Computational Mechanics</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>.","chicago":"Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>, 2024. <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">https://doi.org/10.1007/s00466-024-02442-y</a>.","ama":"Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>","short":"R. Mahnken, H. Westermann, Computational Mechanics (2024).","mla":"Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>.","bibtex":"@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={<a href=\"https://doi.org/10.1007/s00466-024-02442-y\">10.1007/s00466-024-02442-y</a>}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }","apa":"Mahnken, R., &#38; Westermann, H. (2024). Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. <a href=\"https://doi.org/10.1007/s00466-024-02442-y\">https://doi.org/10.1007/s00466-024-02442-y</a>"},"publication_status":"published","publication_identifier":{"issn":["0178-7675","1432-0924"]},"quality_controlled":"1"},{"publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"citation":{"bibtex":"@article{Hamdoun_Mahnken_2024, title={Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024} }","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” <i>PAMM</i>, Wiley, 2024, doi:<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>.","short":"A. Hamdoun, R. Mahnken, PAMM (2024).","apa":"Hamdoun, A., &#38; Mahnken, R. (2024). Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300114\">https://doi.org/10.1002/pamm.202300114</a>","ieee":"A. Hamdoun and R. Mahnken, “Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements,” <i>PAMM</i>, 2024, doi: <a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>.","chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” <i>PAMM</i>, 2024. <a href=\"https://doi.org/10.1002/pamm.202300114\">https://doi.org/10.1002/pamm.202300114</a>.","ama":"Hamdoun A, Mahnken R. Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. <i>PAMM</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1002/pamm.202300114\">10.1002/pamm.202300114</a>"},"year":"2024","author":[{"full_name":"Hamdoun, Ayoub","id":"57708","last_name":"Hamdoun","first_name":"Ayoub"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"date_created":"2024-05-14T09:06:26Z","date_updated":"2024-09-26T11:25:10Z","publisher":"Wiley","doi":"10.1002/pamm.202300114","title":"Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements","type":"journal_article","publication":"PAMM","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Polycarbonate (PC) is an amorphous polymer that is an extremely robust material with a high tenacity, and thus suitable for a lightweight construction with glass‐like transparency. Due to these advantageous properties, PC is often used in industry for example in medical devices, automotive headlamps, sporting equipment, electronics, and a variety of other products. PC is often subjected to uniaxial and biaxial loading conditions. Therefore, reliable material models have to take into account the various resulting experimental effects. For those reasons, we investigate PC specimens under uniaxial and biaxial loading by using different stretch rates and loading scenarios. In addition to that, we propose methods for optical measurement of local stretches to obtain the approximated local true stress. In future work, the displacement fields and the resulting reaction forces will be used for parameter identification of constitutive equations.</jats:p>","lang":"eng"}],"user_id":"57708","department":[{"_id":"9"},{"_id":"154"}],"_id":"54281","language":[{"iso":"eng"}]},{"title":"Uniaxial and biaxial experimental investigation of glassy polymers","doi":"10.1016/j.polymer.2024.126981","publisher":"Elsevier BV","date_updated":"2024-09-26T11:25:29Z","volume":299,"date_created":"2024-05-14T09:05:05Z","author":[{"id":"57708","full_name":"Hamdoun, Ayoub","last_name":"Hamdoun","first_name":"Ayoub"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"year":"2024","intvolume":"       299","citation":{"ama":"Hamdoun A, Mahnken R. Uniaxial and biaxial experimental investigation of glassy polymers. <i>Polymer</i>. 2024;299. doi:<a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">10.1016/j.polymer.2024.126981</a>","ieee":"A. Hamdoun and R. Mahnken, “Uniaxial and biaxial experimental investigation of glassy polymers,” <i>Polymer</i>, vol. 299, Art. no. 126981, 2024, doi: <a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">10.1016/j.polymer.2024.126981</a>.","chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “Uniaxial and Biaxial Experimental Investigation of Glassy Polymers.” <i>Polymer</i> 299 (2024). <a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">https://doi.org/10.1016/j.polymer.2024.126981</a>.","apa":"Hamdoun, A., &#38; Mahnken, R. (2024). Uniaxial and biaxial experimental investigation of glassy polymers. <i>Polymer</i>, <i>299</i>, Article 126981. <a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">https://doi.org/10.1016/j.polymer.2024.126981</a>","short":"A. Hamdoun, R. Mahnken, Polymer 299 (2024).","bibtex":"@article{Hamdoun_Mahnken_2024, title={Uniaxial and biaxial experimental investigation of glassy polymers}, volume={299}, DOI={<a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">10.1016/j.polymer.2024.126981</a>}, number={126981}, journal={Polymer}, publisher={Elsevier BV}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024} }","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “Uniaxial and Biaxial Experimental Investigation of Glassy Polymers.” <i>Polymer</i>, vol. 299, 126981, Elsevier BV, 2024, doi:<a href=\"https://doi.org/10.1016/j.polymer.2024.126981\">10.1016/j.polymer.2024.126981</a>."},"publication_identifier":{"issn":["0032-3861"]},"quality_controlled":"1","publication_status":"published","article_number":"126981","language":[{"iso":"eng"}],"_id":"54279","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"57708","status":"public","publication":"Polymer","type":"journal_article"},{"language":[{"iso":"eng"}],"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Cold forming of polycarbonate films results in the formation of shear bands in the necking zone. The numerical results obtained from standard viscoplastic material models exhibit mesh size dependency, requiring mathematical regularization. For this purpose, we present in this work a large deformation gradient theory for a viscoplastic isotropic material model published before. We extend our model to a micromorphic model by introducing a new micromorphic variable as an additional degree of freedom along with its first gradient. This variable represents a microequivalent plastic strain. The relation between the macroequivalent plastic strain and the micromorphic variable is accomplished by a micromorphic coupling modulus. This coupling forces proximity between the macro- and microvariables, leading to the targeted regularization effect. The micromorphic model is implemented as a three-dimensional initial boundary value problem in an in-house finite element tool. The analysis is performed for both uniaxial and biaxial specimens. The provided numerical examples show the ability of our model to regularize shear bands within the specimens and address the issue of localization.</jats:p>","lang":"eng"}],"publication":"Archive of Applied Mechanics","title":"A large deformation gradient theory for glassy polymers by means of micromorphic regularization","publisher":"Springer Science and Business Media LLC","date_created":"2024-05-14T09:05:40Z","year":"2024","quality_controlled":"1","issue":"5","_id":"54280","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"57708","status":"public","type":"journal_article","doi":"10.1007/s00419-024-02570-0","date_updated":"2024-09-26T11:25:44Z","volume":94,"author":[{"first_name":"Ayoub","last_name":"Hamdoun","full_name":"Hamdoun, Ayoub","id":"57708"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"page":"1221-1242","intvolume":"        94","citation":{"apa":"Hamdoun, A., &#38; Mahnken, R. (2024). A large deformation gradient theory for glassy polymers by means of micromorphic regularization. <i>Archive of Applied Mechanics</i>, <i>94</i>(5), 1221–1242. <a href=\"https://doi.org/10.1007/s00419-024-02570-0\">https://doi.org/10.1007/s00419-024-02570-0</a>","bibtex":"@article{Hamdoun_Mahnken_2024, title={A large deformation gradient theory for glassy polymers by means of micromorphic regularization}, volume={94}, DOI={<a href=\"https://doi.org/10.1007/s00419-024-02570-0\">10.1007/s00419-024-02570-0</a>}, number={5}, journal={Archive of Applied Mechanics}, publisher={Springer Science and Business Media LLC}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024}, pages={1221–1242} }","short":"A. Hamdoun, R. Mahnken, Archive of Applied Mechanics 94 (2024) 1221–1242.","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “A Large Deformation Gradient Theory for Glassy Polymers by Means of Micromorphic Regularization.” <i>Archive of Applied Mechanics</i>, vol. 94, no. 5, Springer Science and Business Media LLC, 2024, pp. 1221–42, doi:<a href=\"https://doi.org/10.1007/s00419-024-02570-0\">10.1007/s00419-024-02570-0</a>.","ieee":"A. Hamdoun and R. Mahnken, “A large deformation gradient theory for glassy polymers by means of micromorphic regularization,” <i>Archive of Applied Mechanics</i>, vol. 94, no. 5, pp. 1221–1242, 2024, doi: <a href=\"https://doi.org/10.1007/s00419-024-02570-0\">10.1007/s00419-024-02570-0</a>.","chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “A Large Deformation Gradient Theory for Glassy Polymers by Means of Micromorphic Regularization.” <i>Archive of Applied Mechanics</i> 94, no. 5 (2024): 1221–42. <a href=\"https://doi.org/10.1007/s00419-024-02570-0\">https://doi.org/10.1007/s00419-024-02570-0</a>.","ama":"Hamdoun A, Mahnken R. A large deformation gradient theory for glassy polymers by means of micromorphic regularization. <i>Archive of Applied Mechanics</i>. 2024;94(5):1221-1242. doi:<a href=\"https://doi.org/10.1007/s00419-024-02570-0\">10.1007/s00419-024-02570-0</a>"},"publication_identifier":{"issn":["0939-1533","1432-0681"]},"publication_status":"published"},{"doi":"10.1002/pamm.202300071","title":"Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method","volume":23,"author":[{"full_name":"Westermann, Hendrik","id":"60816","last_name":"Westermann","orcid":"0000-0002-5034-9708","first_name":"Hendrik"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"date_created":"2023-10-25T10:46:57Z","date_updated":"2023-11-07T14:34:44Z","publisher":"Wiley","intvolume":"        23","citation":{"ama":"Westermann H, Mahnken R. Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. <i>PAMM</i>. 2023;23(2). doi:<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>","chicago":"Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” <i>PAMM</i> 23, no. 2 (2023). <a href=\"https://doi.org/10.1002/pamm.202300071\">https://doi.org/10.1002/pamm.202300071</a>.","ieee":"H. Westermann and R. Mahnken, “Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method,” <i>PAMM</i>, vol. 23, no. 2, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>.","short":"H. Westermann, R. Mahnken, PAMM 23 (2023).","mla":"Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” <i>PAMM</i>, vol. 23, no. 2, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>.","bibtex":"@article{Westermann_Mahnken_2023, title={Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method}, volume={23}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300071\">10.1002/pamm.202300071</a>}, number={2}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }","apa":"Westermann, H., &#38; Mahnken, R. (2023). Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. <i>PAMM</i>, <i>23</i>(2). <a href=\"https://doi.org/10.1002/pamm.202300071\">https://doi.org/10.1002/pamm.202300071</a>"},"year":"2023","issue":"2","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","publication_status":"published","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"48464","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Initial value problems can be solved efficiently by means of Runge–Kutta algorithms with adaptive step size control. Diagonally implicit Runge–Kutta (DIRK) methods are the most popular class among the diverse family of Runge–Kutta algorithms. In this paper, the novel class of low‐order explicit last‐stage diagonally implicit Runge–Kutta (ELDIRK) methods are explored, which combine implicit schemes with an additional explicit evaluation as an explicit last stage. ELDIRK Butcher tableaus are used to control embedded RK methods to obtain solutions of different orders. The lower‐order solution is obtained by classical implicit RK stages and the higher‐order solution is obtained by additional explicit evaluation. As a result, a significant reduction in computational cost is achieved by skipping the iterative solution of nonlinear systems for the additional step. The examination of the heat problem and the use of the innovative Butcher tableau in the finite‐element method are the main contributions of this work. Thus, it is possible to establish adaptive step size control for the new low‐order embedded methods based on an empirical method for error estimation. Two‐dimensional simulations are used to show an appropriate algorithm for the ELDIRK schemes. The new Runge–Kutta schemes' predictions of higher‐order convergence are confirmed, and their successful outcomes are illustrated.</jats:p>"}],"publication":"PAMM","type":"journal_article"},{"status":"public","type":"journal_article","article_number":"116545","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"48465","intvolume":"       418","citation":{"ama":"Westermann H, Mahnken R. On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. <i>Computer Methods in Applied Mechanics and Engineering</i>. 2023;418. doi:<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>","ieee":"H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 418, Art. no. 116545, 2023, doi: <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>.","chicago":"Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” <i>Computer Methods in Applied Mechanics and Engineering</i> 418 (2023). <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">https://doi.org/10.1016/j.cma.2023.116545</a>.","apa":"Westermann, H., &#38; Mahnken, R. (2023). On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. <i>Computer Methods in Applied Mechanics and Engineering</i>, <i>418</i>, Article 116545. <a href=\"https://doi.org/10.1016/j.cma.2023.116545\">https://doi.org/10.1016/j.cma.2023.116545</a>","mla":"Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 418, 116545, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>.","short":"H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).","bibtex":"@article{Westermann_Mahnken_2023, title={On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems}, volume={418}, DOI={<a href=\"https://doi.org/10.1016/j.cma.2023.116545\">10.1016/j.cma.2023.116545</a>}, number={116545}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }"},"publication_identifier":{"issn":["0045-7825"]},"publication_status":"published","doi":"10.1016/j.cma.2023.116545","volume":418,"author":[{"first_name":"Hendrik","last_name":"Westermann","orcid":"0000-0002-5034-9708","full_name":"Westermann, Hendrik","id":"60816"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"date_updated":"2023-11-07T14:34:56Z","publication":"Computer Methods in Applied Mechanics and Engineering","language":[{"iso":"eng"}],"keyword":["Computer Science Applications","General Physics and Astronomy","Mechanical Engineering","Mechanics of Materials","Computational Mechanics"],"year":"2023","quality_controlled":"1","title":"On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems","date_created":"2023-10-25T10:47:23Z","publisher":"Elsevier BV"},{"quality_controlled":"1","year":"2023","publisher":"Elsevier BV","date_created":"2023-11-07T14:33:33Z","title":"Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation","publication":"Computers &amp; Structures","keyword":["Computer Science Applications","Mechanical Engineering","General Materials Science","Modeling and Simulation","Civil and Structural Engineering"],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0045-7949"]},"citation":{"bibtex":"@article{Lenz_Kreutzheide_Mahnken_2023, title={Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation}, volume={290}, DOI={<a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">10.1016/j.compstruc.2023.107160</a>}, number={107160}, journal={Computers &#38;amp; Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Kreutzheide, Phil and Mahnken, Rolf}, year={2023} }","mla":"Lenz, Peter, et al. “Multiphase Elasto-Plastic Mean-Field Homogenisation and Its Consistent Linearisation.” <i>Computers &#38;amp; Structures</i>, vol. 290, 107160, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">10.1016/j.compstruc.2023.107160</a>.","short":"P. Lenz, P. Kreutzheide, R. Mahnken, Computers &#38;amp; Structures 290 (2023).","apa":"Lenz, P., Kreutzheide, P., &#38; Mahnken, R. (2023). Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. <i>Computers &#38;amp; Structures</i>, <i>290</i>, Article 107160. <a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">https://doi.org/10.1016/j.compstruc.2023.107160</a>","ama":"Lenz P, Kreutzheide P, Mahnken R. Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. <i>Computers &#38;amp; Structures</i>. 2023;290. doi:<a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">10.1016/j.compstruc.2023.107160</a>","chicago":"Lenz, Peter, Phil Kreutzheide, and Rolf Mahnken. “Multiphase Elasto-Plastic Mean-Field Homogenisation and Its Consistent Linearisation.” <i>Computers &#38;amp; Structures</i> 290 (2023). <a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">https://doi.org/10.1016/j.compstruc.2023.107160</a>.","ieee":"P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation,” <i>Computers &#38;amp; Structures</i>, vol. 290, Art. no. 107160, 2023, doi: <a href=\"https://doi.org/10.1016/j.compstruc.2023.107160\">10.1016/j.compstruc.2023.107160</a>."},"intvolume":"       290","date_updated":"2023-11-07T14:35:05Z","author":[{"full_name":"Lenz, Peter","last_name":"Lenz","first_name":"Peter"},{"first_name":"Phil","full_name":"Kreutzheide, Phil","last_name":"Kreutzheide"},{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"}],"volume":290,"doi":"10.1016/j.compstruc.2023.107160","type":"journal_article","status":"public","_id":"48673","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"article_number":"107160"},{"year":"2023","citation":{"ama":"Tchomgue Simeu A, Mahnken R. Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. <i>PAMM</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>","apa":"Tchomgue Simeu, A., &#38; Mahnken, R. (2023). Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300136\">https://doi.org/10.1002/pamm.202300136</a>","mla":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” <i>PAMM</i>, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>.","short":"A. Tchomgue Simeu, R. Mahnken, PAMM (2023).","bibtex":"@article{Tchomgue Simeu_Mahnken_2023, title={Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }","ieee":"A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites,” <i>PAMM</i>, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300136\">10.1002/pamm.202300136</a>.","chicago":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” <i>PAMM</i>, 2023. <a href=\"https://doi.org/10.1002/pamm.202300136\">https://doi.org/10.1002/pamm.202300136</a>."},"publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","publication_status":"published","title":"Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites","doi":"10.1002/pamm.202300136","publisher":"Wiley","date_updated":"2023-12-19T12:20:51Z","date_created":"2023-12-19T12:20:05Z","author":[{"first_name":"Arnold","id":"83075","full_name":"Tchomgue Simeu, Arnold","last_name":"Tchomgue Simeu"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The use of heterogeneous materials, such as composites with Prandtl‐Reuss‐type material laws, has increased in industrial praxis, making finite element modeling with homogenization techniques a well‐accepted tool. These methods are particularly advantageous to account for microstructural mechanisms which can be related to nonlinearities and time‐dependency due to elasto‐plasticity behavior. However, their advantages are diminished by increasing computational demand. The present contribution deals with the balance of accuracy and numerical efficiency of nonlinear homogenization associated with a framework of goal‐oriented adaptivity, which takes into account error accumulation over time. To this end, model adaptivity of homogenization methods is coupled to mesh adaptivity on the macro scale. Our new proposed adaptive procedure is driven by a goal‐oriented a posteriori error estimator based on duality techniques using downwind and upwind approximations. Due to nonlinearities and time‐dependency of the plasticity, the estimation of error transport and error generation is obtained with a backward‐in‐time dual method despite a high demand on memory capacity. In this contribution, the dual problem is solved with a forward‐in‐time dual method that allows estimating the full error during the resolution of the primal problem without the need for extra memory capacity. Finally, a numerical example illustrates the effectiveness of the proposed adaptive approach.</jats:p>"}],"status":"public","publication":"PAMM","type":"journal_article","keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}],"_id":"49866","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335"},{"date_created":"2024-02-29T13:59:12Z","author":[{"first_name":"Alexander","last_name":"Börger","full_name":"Börger, Alexander"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"publisher":"Wiley","date_updated":"2024-02-29T13:59:31Z","doi":"10.1002/pamm.202300126","title":"A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","citation":{"ama":"Börger A, Mahnken R. A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. <i>PAMM</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>","apa":"Börger, A., &#38; Mahnken, R. (2023). A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202300126\">https://doi.org/10.1002/pamm.202300126</a>","short":"A. Börger, R. Mahnken, PAMM (2023).","bibtex":"@article{Börger_Mahnken_2023, title={A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests}, DOI={<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>}, journal={PAMM}, publisher={Wiley}, author={Börger, Alexander and Mahnken, Rolf}, year={2023} }","mla":"Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” <i>PAMM</i>, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>.","chicago":"Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” <i>PAMM</i>, 2023. <a href=\"https://doi.org/10.1002/pamm.202300126\">https://doi.org/10.1002/pamm.202300126</a>.","ieee":"A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests,” <i>PAMM</i>, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300126\">10.1002/pamm.202300126</a>."},"year":"2023","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"_id":"52219","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"type":"journal_article","publication":"PAMM","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Cold‐box sand (CBS) belongs to the granular materials and consists of sand and a binder. The behavior of CBS is simulated with a micropolar model, whereby the additional degree of freedom of the model describes the rotation of the sand grains. The model is used to generate a shear band under pressure for three different meshes, where the force‐displacement curves of the three meshes converge so that no mesh dependence occurs. Another requirement of the model is the consideration of asymmetric behavior for compression and tension. Due to the additional degree of freedom the implicit implementation of the micropolar continuum is very time‐consuming. Therefore, an explicit implementation is considered as an alternative possibility. This paper compares the advantages and disadvantages of both methods and the results for both calculations.</jats:p>"}]},{"language":[{"iso":"eng"}],"user_id":"57708","_id":"54282","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Stretching of polycarbonate films leads to the formation of shear bands in the necking zone [1]. Standard viscoplastic material models render mesh size dependent results, which requires a mathematical regularization. To this end, we present a finite strain gradient theory for a viscoplastic, isotropic material model where we extend the model presented in [2] to a micromorphic model by introducing a new micromorphic variable as an additional degree of freedom with its first gradient [3, 4]. The variable here has the meaning of a micro plastic strain, and is coupled with the macro plastic by a micro penalty term, forcing the macro‐plastic strain to be close to the micro‐plastic strain for the targeted shear band regularization effect. We have implemented the model equations as a three dimensional initial boundary value problem in an in house FE‐tool, to simulate different geometries with different thickness and to compare it the experimental tests. The analysis is performed for a uniaxial tensile geometry as well as for a biaxial tensile geometry. The numerical examples show the ability of the model to regularize the shear bands and solve the problem of localization.</jats:p>"}],"type":"journal_article","publication":"PAMM","doi":"10.1002/pamm.202200074","title":"A finite strain gradient theory for viscoplasticity by means of micromorphic regularization","date_created":"2024-05-14T09:06:38Z","author":[{"first_name":"Ayoub","id":"57708","full_name":"Hamdoun, Ayoub","last_name":"Hamdoun"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"volume":22,"publisher":"Wiley","date_updated":"2024-05-14T09:15:38Z","citation":{"ieee":"A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>.","chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>.","ama":"Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>","apa":"Hamdoun, A., &#38; Mahnken, R. (2023). A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>","bibtex":"@article{Hamdoun_Mahnken_2023, title={A finite strain gradient theory for viscoplasticity by means of micromorphic regularization}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2023} }","short":"A. Hamdoun, R. Mahnken, PAMM 22 (2023).","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>."},"intvolume":"        22","year":"2023","issue":"1","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]}},{"doi":"10.1007/s12221-023-00122-x","title":"Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations","date_created":"2023-02-16T12:37:11Z","author":[{"first_name":"Eduard","full_name":"Penner, Eduard","last_name":"Penner"},{"first_name":"Ismail","last_name":"Caylak","id":"75","full_name":"Caylak, Ismail"},{"first_name":"Rolf","id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken"}],"date_updated":"2023-03-24T08:42:33Z","publisher":"Springer Science and Business Media LLC","citation":{"chicago":"Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.” <i>Fibers and Polymers</i>, 2023. <a href=\"https://doi.org/10.1007/s12221-023-00122-x\">https://doi.org/10.1007/s12221-023-00122-x</a>.","ieee":"E. Penner, I. Caylak, and R. Mahnken, “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations,” <i>Fibers and Polymers</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s12221-023-00122-x\">10.1007/s12221-023-00122-x</a>.","ama":"Penner E, Caylak I, Mahnken R. Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations. <i>Fibers and Polymers</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s12221-023-00122-x\">10.1007/s12221-023-00122-x</a>","apa":"Penner, E., Caylak, I., &#38; Mahnken, R. (2023). Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations. <i>Fibers and Polymers</i>. <a href=\"https://doi.org/10.1007/s12221-023-00122-x\">https://doi.org/10.1007/s12221-023-00122-x</a>","mla":"Penner, Eduard, et al. “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.” <i>Fibers and Polymers</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s12221-023-00122-x\">10.1007/s12221-023-00122-x</a>.","bibtex":"@article{Penner_Caylak_Mahnken_2023, title={Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations}, DOI={<a href=\"https://doi.org/10.1007/s12221-023-00122-x\">10.1007/s12221-023-00122-x</a>}, journal={Fibers and Polymers}, publisher={Springer Science and Business Media LLC}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2023} }","short":"E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023)."},"year":"2023","publication_identifier":{"issn":["1229-9197","1875-0052"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Polymers and Plastics","General Chemical Engineering","General Chemistry"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"42165","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Composite materials, such as fiber reinforced polymers, become increasingly important due to their excellent mechanical and lightweight properties. In this respect, this paper reports the characterization of a unidirectional carbon fiber reinforced polymer composite material. Particularly, the mechanical behavior of the overall composite and of the individual constituents of the composite is investigated. To this end, tensile and shear tests are performed for the composite. As a result, statistics for five transversely isotropic material parameters can be established for the composite. For the description of the mechanical properties of the constituents, tensile tests for the carbon fiber as well as for the polymer matrix are carried out. In addition, the volume fraction of fibers in the matrix is determined experimentally using an ashing technique and Archimedes’ principle. For the Young’s modulus of the fiber, the Young’s modulus and transverse contraction of the matrix, as well as the volume fraction of the constituents, statistics can be concluded. The resulting mechanical properties on both scales are useful for the application and validation of different material models and homogenization methods. Finally, in order to validate the obtained properties in the future, inhomogeneous tests were performed, once a flat plate with a hole and a flat plate with semicircular notches.</jats:p>","lang":"eng"}],"publication":"Fibers and Polymers","type":"journal_article"},{"status":"public","publication":"Composite Structures","type":"journal_article","keyword":["Civil and Structural Engineering","Ceramics and Composites"],"article_number":"116911","language":[{"iso":"eng"}],"_id":"43095","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","year":"2023","citation":{"ama":"Lenz P, Mahnken R. Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. <i>Composite Structures</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">10.1016/j.compstruct.2023.116911</a>","chicago":"Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.” <i>Composite Structures</i>, 2023. <a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">https://doi.org/10.1016/j.compstruct.2023.116911</a>.","ieee":"P. Lenz and R. Mahnken, “Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation,” <i>Composite Structures</i>, Art. no. 116911, 2023, doi: <a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">10.1016/j.compstruct.2023.116911</a>.","apa":"Lenz, P., &#38; Mahnken, R. (2023). Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. <i>Composite Structures</i>, Article 116911. <a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">https://doi.org/10.1016/j.compstruct.2023.116911</a>","bibtex":"@article{Lenz_Mahnken_2023, title={Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation}, DOI={<a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">10.1016/j.compstruct.2023.116911</a>}, number={116911}, journal={Composite Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2023} }","mla":"Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.” <i>Composite Structures</i>, 116911, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.compstruct.2023.116911\">10.1016/j.compstruct.2023.116911</a>.","short":"P. Lenz, R. Mahnken, Composite Structures (2023)."},"publication_identifier":{"issn":["0263-8223"]},"publication_status":"published","title":"Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation","doi":"10.1016/j.compstruct.2023.116911","date_updated":"2023-03-24T08:45:42Z","publisher":"Elsevier BV","date_created":"2023-03-24T08:35:59Z","author":[{"last_name":"Lenz","full_name":"Lenz, Peter","first_name":"Peter"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}]},{"_id":"44888","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}],"publication":"PAMM","type":"journal_article","status":"public","date_updated":"2023-05-16T12:17:50Z","publisher":"Wiley","volume":22,"date_created":"2023-05-16T12:15:44Z","author":[{"first_name":"Peter","last_name":"Lenz","full_name":"Lenz, Peter"},{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"}],"title":"Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains","doi":"10.1002/pamm.202200214","quality_controlled":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","issue":"1","year":"2023","intvolume":"        22","citation":{"ieee":"P. Lenz and R. Mahnken, “Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200214\">10.1002/pamm.202200214</a>.","chicago":"Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200214\">https://doi.org/10.1002/pamm.202200214</a>.","ama":"Lenz P, Mahnken R. Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200214\">10.1002/pamm.202200214</a>","short":"P. Lenz, R. Mahnken, PAMM 22 (2023).","bibtex":"@article{Lenz_Mahnken_2023, title={Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200214\">10.1002/pamm.202200214</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Lenz, Peter and Mahnken, Rolf}, year={2023} }","mla":"Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200214\">10.1002/pamm.202200214</a>.","apa":"Lenz, P., &#38; Mahnken, R. (2023). Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200214\">https://doi.org/10.1002/pamm.202200214</a>"}},{"publication_status":"published","citation":{"ama":"Cheng C, Song C, Mahnken R, Yuan Z, Yu L, Ju X. A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Published online 2023.","ieee":"C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, and X. Ju, “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.” Elsevier BV, 2023.","chicago":"Cheng, Chun, Chunlei Song, Rolf Mahnken, Zhipeng Yuan, Liang Yu, and Xiaozhe Ju. “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.” Elsevier BV, 2023.","short":"C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, (2023).","mla":"Cheng, Chun, et al. <i>A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites</i>. Elsevier BV, 2023.","bibtex":"@article{Cheng_Song_Mahnken_Yuan_Yu_Ju_2023, title={A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites}, publisher={Elsevier BV}, author={Cheng, Chun and Song, Chunlei and Mahnken, Rolf and Yuan, Zhipeng and Yu, Liang and Ju, Xiaozhe}, year={2023} }","apa":"Cheng, C., Song, C., Mahnken, R., Yuan, Z., Yu, L., &#38; Ju, X. (2023). <i>A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites</i>. Elsevier BV."},"year":"2023","author":[{"last_name":"Cheng","full_name":"Cheng, Chun","first_name":"Chun"},{"first_name":"Chunlei","full_name":"Song, Chunlei","last_name":"Song"},{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"},{"full_name":"Yuan, Zhipeng","last_name":"Yuan","first_name":"Zhipeng"},{"full_name":"Yu, Liang","last_name":"Yu","first_name":"Liang"},{"first_name":"Xiaozhe","full_name":"Ju, Xiaozhe","last_name":"Ju"}],"date_created":"2023-05-16T12:10:06Z","date_updated":"2023-05-16T12:17:43Z","publisher":"Elsevier BV","title":"A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites","type":"preprint","status":"public","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"_id":"44887","language":[{"iso":"eng"}]},{"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"44891","status":"public","type":"journal_article","doi":"10.1002/pamm.202200080","volume":22,"author":[{"first_name":"Hendrik","orcid":"0000-0002-5034-9708","last_name":"Westermann","id":"60816","full_name":"Westermann, Hendrik"},{"first_name":"Rolf","id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken"}],"date_updated":"2023-05-16T12:21:15Z","intvolume":"        22","citation":{"apa":"Westermann, H., &#38; Mahnken, R. (2023). A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200080\">https://doi.org/10.1002/pamm.202200080</a>","bibtex":"@article{Westermann_Mahnken_2023, title={A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200080\">10.1002/pamm.202200080</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }","short":"H. Westermann, R. Mahnken, PAMM 22 (2023).","mla":"Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200080\">10.1002/pamm.202200080</a>.","ama":"Westermann H, Mahnken R. A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200080\">10.1002/pamm.202200080</a>","ieee":"H. Westermann and R. Mahnken, “A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200080\">10.1002/pamm.202200080</a>.","chicago":"Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200080\">https://doi.org/10.1002/pamm.202200080</a>."},"publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"publication":"PAMM","title":"A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations","date_created":"2023-05-16T12:20:19Z","publisher":"Wiley","year":"2023","issue":"1","quality_controlled":"1"},{"publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"citation":{"chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>.","ieee":"A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>.","ama":"Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>","apa":"Hamdoun, A., &#38; Mahnken, R. (2023). A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>","short":"A. Hamdoun, R. Mahnken, PAMM 22 (2023).","mla":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>.","bibtex":"@article{Hamdoun_Mahnken_2023, title={A finite strain gradient theory for viscoplasticity by means of micromorphic regularization}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2023} }"},"intvolume":"        22","date_updated":"2023-05-16T12:23:15Z","author":[{"first_name":"Ayoub","last_name":"Hamdoun","full_name":"Hamdoun, Ayoub"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"}],"volume":22,"doi":"10.1002/pamm.202200074","type":"journal_article","status":"public","_id":"44892","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"quality_controlled":"1","issue":"1","year":"2023","publisher":"Wiley","date_created":"2023-05-16T12:21:32Z","title":"A finite strain gradient theory for viscoplasticity by means of micromorphic regularization","publication":"PAMM","keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"44890","status":"public","publication":"PAMM","type":"journal_article","doi":"10.1002/pamm.202200053","title":"Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity","volume":22,"author":[{"first_name":"Arnold","full_name":"Tchomgue Simeu, Arnold","id":"83075","last_name":"Tchomgue Simeu"},{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"}],"date_created":"2023-05-16T12:18:15Z","date_updated":"2023-05-25T10:02:34Z","publisher":"Wiley","intvolume":"        22","citation":{"ama":"Tchomgue Simeu A, Mahnken R. Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200053\">10.1002/pamm.202200053</a>","ieee":"A. Tchomgue Simeu and R. Mahnken, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200053\">10.1002/pamm.202200053</a>.","chicago":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200053\">https://doi.org/10.1002/pamm.202200053</a>.","apa":"Tchomgue Simeu, A., &#38; Mahnken, R. (2023). Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200053\">https://doi.org/10.1002/pamm.202200053</a>","mla":"Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200053\">10.1002/pamm.202200053</a>.","bibtex":"@article{Tchomgue Simeu_Mahnken_2023, title={Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200053\">10.1002/pamm.202200053</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }","short":"A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023)."},"year":"2023","issue":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","publication_status":"published"}]