[{"publication":"International Journal for Numerical Methods in Engineering","abstract":[{"lang":"eng","text":"<jats:title>ABSTRACT</jats:title>\r\n                  <jats:p>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.</jats:p>"}],"language":[{"iso":"eng"}],"issue":"6","quality_controlled":"1","year":"2026","date_created":"2026-03-18T05:28:29Z","publisher":"Wiley","title":"Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws","type":"journal_article","status":"public","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"65037","article_number":"e70294","publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","intvolume":"       127","citation":{"ieee":"A. T. Simeu, I. Caylak, and R. Ostwald, “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 127, no. 6, Art. no. e70294, 2026, doi: <a href=\"https://doi.org/10.1002/nme.70294\">10.1002/nme.70294</a>.","chicago":"Simeu, Arnold Tchomgue, Ismail Caylak, and Richard Ostwald. “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws.” <i>International Journal for Numerical Methods in Engineering</i> 127, no. 6 (2026). <a href=\"https://doi.org/10.1002/nme.70294\">https://doi.org/10.1002/nme.70294</a>.","bibtex":"@article{Simeu_Caylak_Ostwald_2026, title={Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws}, volume={127}, DOI={<a href=\"https://doi.org/10.1002/nme.70294\">10.1002/nme.70294</a>}, number={6e70294}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Simeu, Arnold Tchomgue and Caylak, Ismail and Ostwald, Richard}, year={2026} }","short":"A.T. Simeu, I. Caylak, R. Ostwald, International Journal for Numerical Methods in Engineering 127 (2026).","mla":"Simeu, Arnold Tchomgue, et al. “Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 127, no. 6, e70294, Wiley, 2026, doi:<a href=\"https://doi.org/10.1002/nme.70294\">10.1002/nme.70294</a>.","ama":"Simeu AT, Caylak I, Ostwald R. Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. <i>International Journal for Numerical Methods in Engineering</i>. 2026;127(6). doi:<a href=\"https://doi.org/10.1002/nme.70294\">10.1002/nme.70294</a>","apa":"Simeu, A. T., Caylak, I., &#38; Ostwald, R. (2026). Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. <i>International Journal for Numerical Methods in Engineering</i>, <i>127</i>(6), Article e70294. <a href=\"https://doi.org/10.1002/nme.70294\">https://doi.org/10.1002/nme.70294</a>"},"volume":127,"author":[{"last_name":"Simeu","full_name":"Simeu, Arnold Tchomgue","first_name":"Arnold Tchomgue"},{"first_name":"Ismail","last_name":"Caylak","id":"75","full_name":"Caylak, Ismail"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"}],"date_updated":"2026-03-18T05:31:02Z","doi":"10.1002/nme.70294"},{"type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","status":"public","user_id":"78813","department":[{"_id":"154"}],"_id":"13805","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"citation":{"chicago":"Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.” <i>International Journal for Numerical Methods in Engineering</i>, 2019. <a href=\"https://doi.org/10.1002/nme.6209\">https://doi.org/10.1002/nme.6209</a>.","ieee":"R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity,” <i>International Journal for Numerical Methods in Engineering</i>, 2019.","ama":"Mahnken R, Ju X. Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity. <i>International Journal for Numerical Methods in Engineering</i>. 2019. doi:<a href=\"https://doi.org/10.1002/nme.6209\">10.1002/nme.6209</a>","short":"R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering (2019).","bibtex":"@article{Mahnken_Ju_2019, title={Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity}, DOI={<a href=\"https://doi.org/10.1002/nme.6209\">10.1002/nme.6209</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Ju, Xiaozhe}, year={2019} }","mla":"Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.” <i>International Journal for Numerical Methods in Engineering</i>, 2019, doi:<a href=\"https://doi.org/10.1002/nme.6209\">10.1002/nme.6209</a>.","apa":"Mahnken, R., &#38; Ju, X. (2019). Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity. <i>International Journal for Numerical Methods in Engineering</i>. <a href=\"https://doi.org/10.1002/nme.6209\">https://doi.org/10.1002/nme.6209</a>"},"year":"2019","author":[{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf"},{"last_name":"Ju","full_name":"Ju, Xiaozhe","first_name":"Xiaozhe"}],"date_created":"2019-10-14T12:05:50Z","date_updated":"2022-01-06T06:51:45Z","doi":"10.1002/nme.6209","title":"Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity"},{"abstract":[{"text":"<jats:title>SUMMARY</jats:title><jats:p>We introduce a material model for the simulation of polycrystalline materials undergoing solid‐to‐solid phase‐transformations. As a basis, we present a scalar‐valued phase‐transformation model where a Helmholtz free energy function depending on volumetric and deviatoric strain measures is assigned to each phase. The analysis of the related overall Gibbs energy density allows for the calculation of energy barriers. With these quantities at hand, we use a statistical‐physics‐based approach to determine the resulting evolution of volume fractions. Though the model facilitates to take into account an arbitrary number of solid phases of the underlying material, we restrict this work to the simulation of phase‐transformations between an austenitic parent phase and a martensitic tension and compression phase. The scalar model is embedded into a computational micro‐sphere formulation in view of the simulation of three‐dimensional boundary value problems. The final modelling approach necessary for macroscopic simulations is accomplished by a finite element formulation, where the local material behaviour at each integration point is governed by the response of the micro‐sphere model.Copyright © 2014 John Wiley &amp; Sons, Ltd.</jats:p>","lang":"eng"}],"publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}],"year":"2014","quality_controlled":"1","issue":"12","title":"A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations","publisher":"Wiley","date_created":"2025-12-03T13:13:55Z","status":"public","type":"journal_article","_id":"62785","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"citation":{"short":"R. Ostwald, T. Bartel, A. Menzel, International Journal for Numerical Methods in Engineering 97 (2014) 851–877.","bibtex":"@article{Ostwald_Bartel_Menzel_2014, title={A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations}, volume={97}, DOI={<a href=\"https://doi.org/10.1002/nme.4601\">10.1002/nme.4601</a>}, number={12}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2014}, pages={851–877} }","mla":"Ostwald, Richard, et al. “A Gibbs‐energy‐barrier‐based Computational Micro‐sphere Model for the Simulation of Martensitic Phase‐transformations.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 97, no. 12, Wiley, 2014, pp. 851–77, doi:<a href=\"https://doi.org/10.1002/nme.4601\">10.1002/nme.4601</a>.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2014). A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations. <i>International Journal for Numerical Methods in Engineering</i>, <i>97</i>(12), 851–877. <a href=\"https://doi.org/10.1002/nme.4601\">https://doi.org/10.1002/nme.4601</a>","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 97, no. 12, pp. 851–877, 2014, doi: <a href=\"https://doi.org/10.1002/nme.4601\">10.1002/nme.4601</a>.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “A Gibbs‐energy‐barrier‐based Computational Micro‐sphere Model for the Simulation of Martensitic Phase‐transformations.” <i>International Journal for Numerical Methods in Engineering</i> 97, no. 12 (2014): 851–77. <a href=\"https://doi.org/10.1002/nme.4601\">https://doi.org/10.1002/nme.4601</a>.","ama":"Ostwald R, Bartel T, Menzel A. A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations. <i>International Journal for Numerical Methods in Engineering</i>. 2014;97(12):851-877. doi:<a href=\"https://doi.org/10.1002/nme.4601\">10.1002/nme.4601</a>"},"page":"851-877","intvolume":"        97","publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"doi":"10.1002/nme.4601","date_updated":"2025-12-03T13:14:32Z","author":[{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","full_name":"Ostwald, Richard","id":"106876"},{"last_name":"Bartel","full_name":"Bartel, Thorsten","first_name":"Thorsten"},{"full_name":"Menzel, Andreas","last_name":"Menzel","first_name":"Andreas"}],"volume":97},{"status":"public","publication":"International Journal for Numerical Methods in Engineering","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","_id":"26256","page":"1753-1788","citation":{"mla":"Mahnken, Rolf. “Geometry Update Driven by Material Forces for Simulation of Brittle Crack Growth in Functionally Graded Materials.” <i>International Journal for Numerical Methods in Engineering</i>, 2008, pp. 1753–88, doi:<a href=\"https://doi.org/10.1002/nme.2468\">10.1002/nme.2468</a>.","bibtex":"@article{Mahnken_2008, title={Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials}, DOI={<a href=\"https://doi.org/10.1002/nme.2468\">10.1002/nme.2468</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf}, year={2008}, pages={1753–1788} }","short":"R. Mahnken, International Journal for Numerical Methods in Engineering (2008) 1753–1788.","apa":"Mahnken, R. (2008). Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials. <i>International Journal for Numerical Methods in Engineering</i>, 1753–1788. <a href=\"https://doi.org/10.1002/nme.2468\">https://doi.org/10.1002/nme.2468</a>","chicago":"Mahnken, Rolf. “Geometry Update Driven by Material Forces for Simulation of Brittle Crack Growth in Functionally Graded Materials.” <i>International Journal for Numerical Methods in Engineering</i>, 2008, 1753–88. <a href=\"https://doi.org/10.1002/nme.2468\">https://doi.org/10.1002/nme.2468</a>.","ieee":"R. Mahnken, “Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 1753–1788, 2008, doi: <a href=\"https://doi.org/10.1002/nme.2468\">10.1002/nme.2468</a>.","ama":"Mahnken R. Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2008:1753-1788. doi:<a href=\"https://doi.org/10.1002/nme.2468\">10.1002/nme.2468</a>"},"year":"2008","quality_controlled":"1","publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","doi":"10.1002/nme.2468","title":"Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials","date_created":"2021-10-15T10:29:44Z","author":[{"full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken","first_name":"Rolf"}],"date_updated":"2023-01-25T14:29:21Z"},{"status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}],"_id":"19114","user_id":"335","department":[{"_id":"9"},{"_id":"154"}],"year":"2007","citation":{"ama":"Mahnken R, Caylak I. Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2007:377-413. doi:<a href=\"https://doi.org/10.1002/nme.2264\">10.1002/nme.2264</a>","ieee":"R. Mahnken and I. Caylak, “Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 377–413, 2007, doi: <a href=\"https://doi.org/10.1002/nme.2264\">10.1002/nme.2264</a>.","chicago":"Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble Functions.” <i>International Journal for Numerical Methods in Engineering</i>, 2007, 377–413. <a href=\"https://doi.org/10.1002/nme.2264\">https://doi.org/10.1002/nme.2264</a>.","mla":"Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble Functions.” <i>International Journal for Numerical Methods in Engineering</i>, 2007, pp. 377–413, doi:<a href=\"https://doi.org/10.1002/nme.2264\">10.1002/nme.2264</a>.","bibtex":"@article{Mahnken_Caylak_2007, title={Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions}, DOI={<a href=\"https://doi.org/10.1002/nme.2264\">10.1002/nme.2264</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Caylak, Ismail}, year={2007}, pages={377–413} }","short":"R. Mahnken, I. Caylak, International Journal for Numerical Methods in Engineering (2007) 377–413.","apa":"Mahnken, R., &#38; Caylak, I. (2007). Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions. <i>International Journal for Numerical Methods in Engineering</i>, 377–413. <a href=\"https://doi.org/10.1002/nme.2264\">https://doi.org/10.1002/nme.2264</a>"},"page":"377-413","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0029-5981","1097-0207"]},"title":"Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions","doi":"10.1002/nme.2264","date_updated":"2023-01-25T14:32:33Z","author":[{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"},{"first_name":"Ismail","id":"75","full_name":"Caylak, Ismail","last_name":"Caylak"}],"date_created":"2020-09-08T10:19:51Z"},{"user_id":"335","department":[{"_id":"9"},{"_id":"154"}],"_id":"28779","language":[{"iso":"eng"}],"type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","status":"public","date_created":"2021-12-14T11:05:53Z","author":[{"full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken","first_name":"Rolf"},{"full_name":"Schlimmer, Michael","last_name":"Schlimmer","first_name":"Michael"}],"date_updated":"2023-01-25T14:33:29Z","doi":"10.1002/nme.1315","title":"Simulation of strength difference in elasto-plasticity for adhesive materials","publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"quality_controlled":"1","citation":{"bibtex":"@article{Mahnken_Schlimmer_2005, title={Simulation of strength difference in elasto-plasticity for adhesive materials}, DOI={<a href=\"https://doi.org/10.1002/nme.1315\">10.1002/nme.1315</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Schlimmer, Michael}, year={2005}, pages={1461–1477} }","mla":"Mahnken, Rolf, and Michael Schlimmer. “Simulation of Strength Difference in Elasto-Plasticity for Adhesive Materials.” <i>International Journal for Numerical Methods in Engineering</i>, 2005, pp. 1461–77, doi:<a href=\"https://doi.org/10.1002/nme.1315\">10.1002/nme.1315</a>.","short":"R. Mahnken, M. Schlimmer, International Journal for Numerical Methods in Engineering (2005) 1461–1477.","apa":"Mahnken, R., &#38; Schlimmer, M. (2005). Simulation of strength difference in elasto-plasticity for adhesive materials. <i>International Journal for Numerical Methods in Engineering</i>, 1461–1477. <a href=\"https://doi.org/10.1002/nme.1315\">https://doi.org/10.1002/nme.1315</a>","ama":"Mahnken R, Schlimmer M. Simulation of strength difference in elasto-plasticity for adhesive materials. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2005:1461-1477. doi:<a href=\"https://doi.org/10.1002/nme.1315\">10.1002/nme.1315</a>","chicago":"Mahnken, Rolf, and Michael Schlimmer. “Simulation of Strength Difference in Elasto-Plasticity for Adhesive Materials.” <i>International Journal for Numerical Methods in Engineering</i>, 2005, 1461–77. <a href=\"https://doi.org/10.1002/nme.1315\">https://doi.org/10.1002/nme.1315</a>.","ieee":"R. Mahnken and M. Schlimmer, “Simulation of strength difference in elasto-plasticity for adhesive materials,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 1461–1477, 2005, doi: <a href=\"https://doi.org/10.1002/nme.1315\">10.1002/nme.1315</a>."},"page":"1461-1477","year":"2005"},{"doi":"10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4","title":"An inverse finite-element algorithm for parameter identification of thermoelastic damage models","date_created":"2023-05-31T12:02:23Z","author":[{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"}],"volume":48,"publisher":"Wiley","date_updated":"2023-05-31T12:02:56Z","citation":{"ama":"Mahnken R. An inverse finite-element algorithm for parameter identification of thermoelastic damage models. <i>International Journal for Numerical Methods in Engineering</i>. 2005;48(7):1015-1036. doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>","ieee":"R. Mahnken, “An inverse finite-element algorithm for parameter identification of thermoelastic damage models,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 48, no. 7, pp. 1015–1036, 2005, doi: <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.","chicago":"Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods in Engineering</i> 48, no. 7 (2005): 1015–36. <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.","mla":"Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 48, no. 7, Wiley, 2005, pp. 1015–36, doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.","short":"R. Mahnken, International Journal for Numerical Methods in Engineering 48 (2005) 1015–1036.","bibtex":"@article{Mahnken_2005, title={An inverse finite-element algorithm for parameter identification of thermoelastic damage models}, volume={48}, DOI={<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>}, number={7}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf}, year={2005}, pages={1015–1036} }","apa":"Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification of thermoelastic damage models. <i>International Journal for Numerical Methods in Engineering</i>, <i>48</i>(7), 1015–1036. <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>"},"page":"1015-1036","intvolume":"        48","year":"2005","issue":"7","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0029-5981","1097-0207"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"user_id":"335","department":[{"_id":"9"},{"_id":"154"}],"_id":"45416","status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering"},{"publisher":"Wiley","date_updated":"2023-05-31T12:29:34Z","date_created":"2023-05-31T12:29:05Z","author":[{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"},{"first_name":"E.","last_name":"Stein","full_name":"Stein, E."},{"full_name":"Bischoff, D.","last_name":"Bischoff","first_name":"D."}],"volume":35,"title":"A stabilization procedure by line-search computation for first order approximation strategies in structural optimization","doi":"10.1002/nme.1620350505","publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"quality_controlled":"1","issue":"5","year":"2005","citation":{"apa":"Mahnken, R., Stein, E., &#38; Bischoff, D. (2005). A stabilization procedure by line-search computation for first order approximation strategies in structural optimization. <i>International Journal for Numerical Methods in Engineering</i>, <i>35</i>(5), 1015–1029. <a href=\"https://doi.org/10.1002/nme.1620350505\">https://doi.org/10.1002/nme.1620350505</a>","short":"R. Mahnken, E. Stein, D. Bischoff, International Journal for Numerical Methods in Engineering 35 (2005) 1015–1029.","mla":"Mahnken, Rolf, et al. “A Stabilization Procedure by Line-Search Computation for First Order Approximation Strategies in Structural Optimization.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, Wiley, 2005, pp. 1015–29, doi:<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>.","bibtex":"@article{Mahnken_Stein_Bischoff_2005, title={A stabilization procedure by line-search computation for first order approximation strategies in structural optimization}, volume={35}, DOI={<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>}, number={5}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf and Stein, E. and Bischoff, D.}, year={2005}, pages={1015–1029} }","ama":"Mahnken R, Stein E, Bischoff D. A stabilization procedure by line-search computation for first order approximation strategies in structural optimization. <i>International Journal for Numerical Methods in Engineering</i>. 2005;35(5):1015-1029. doi:<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>","chicago":"Mahnken, Rolf, E. Stein, and D. Bischoff. “A Stabilization Procedure by Line-Search Computation for First Order Approximation Strategies in Structural Optimization.” <i>International Journal for Numerical Methods in Engineering</i> 35, no. 5 (2005): 1015–29. <a href=\"https://doi.org/10.1002/nme.1620350505\">https://doi.org/10.1002/nme.1620350505</a>.","ieee":"R. Mahnken, E. Stein, and D. Bischoff, “A stabilization procedure by line-search computation for first order approximation strategies in structural optimization,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, pp. 1015–1029, 2005, doi: <a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>."},"page":"1015-1029","intvolume":"        35","_id":"45433","user_id":"335","department":[{"_id":"9"},{"_id":"154"}],"keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","status":"public"},{"issue":"7","quality_controlled":"1","publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","intvolume":"        28","page":"1619-1633","citation":{"ama":"Mahnken R, Stein E. Adaptive time-step control in creep analysis. <i>International Journal for Numerical Methods in Engineering</i>. 2005;28(7):1619-1633. doi:<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>","apa":"Mahnken, R., &#38; Stein, E. (2005). Adaptive time-step control in creep analysis. <i>International Journal for Numerical Methods in Engineering</i>, <i>28</i>(7), 1619–1633. <a href=\"https://doi.org/10.1002/nme.1620280711\">https://doi.org/10.1002/nme.1620280711</a>","mla":"Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no. 7, Wiley, 2005, pp. 1619–33, doi:<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>.","short":"R. Mahnken, E. Stein, International Journal for Numerical Methods in Engineering 28 (2005) 1619–1633.","bibtex":"@article{Mahnken_Stein_2005, title={Adaptive time-step control in creep analysis}, volume={28}, DOI={<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>}, number={7}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf and Stein, Erwin}, year={2005}, pages={1619–1633} }","chicago":"Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.” <i>International Journal for Numerical Methods in Engineering</i> 28, no. 7 (2005): 1619–33. <a href=\"https://doi.org/10.1002/nme.1620280711\">https://doi.org/10.1002/nme.1620280711</a>.","ieee":"R. Mahnken and E. Stein, “Adaptive time-step control in creep analysis,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no. 7, pp. 1619–1633, 2005, doi: <a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>."},"year":"2005","volume":28,"author":[{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"},{"first_name":"Erwin","full_name":"Stein, Erwin","last_name":"Stein"}],"date_created":"2023-05-31T12:30:12Z","publisher":"Wiley","date_updated":"2023-05-31T12:30:41Z","doi":"10.1002/nme.1620280711","title":"Adaptive time-step control in creep analysis","publication":"International Journal for Numerical Methods in Engineering","type":"journal_article","status":"public","department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","_id":"45435","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Engineering","Numerical Analysis"]},{"status":"public","type":"journal_article","department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","_id":"45425","intvolume":"        44","page":"1727-1747","citation":{"apa":"Johansson, M., Mahnken, R., &#38; Runesson, K. (2002). Efficient integration technique for generalized viscoplasticity coupled to damage. <i>International Journal for Numerical Methods in Engineering</i>, <i>44</i>(11), 1727–1747. <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>","short":"M. Johansson, R. Mahnken, K. Runesson, International Journal for Numerical Methods in Engineering 44 (2002) 1727–1747.","mla":"Johansson, Magnus, et al. “Efficient Integration Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 44, no. 11, Wiley, 2002, pp. 1727–47, doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","bibtex":"@article{Johansson_Mahnken_Runesson_2002, title={Efficient integration technique for generalized viscoplasticity coupled to damage}, volume={44}, DOI={<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>}, number={11}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Johansson, Magnus and Mahnken, Rolf and Runesson, Kenneth}, year={2002}, pages={1727–1747} }","chicago":"Johansson, Magnus, Rolf Mahnken, and Kenneth Runesson. “Efficient Integration Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods in Engineering</i> 44, no. 11 (2002): 1727–47. <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","ieee":"M. Johansson, R. Mahnken, and K. Runesson, “Efficient integration technique for generalized viscoplasticity coupled to damage,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 44, no. 11, pp. 1727–1747, 2002, doi: <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","ama":"Johansson M, Mahnken R, Runesson K. Efficient integration technique for generalized viscoplasticity coupled to damage. <i>International Journal for Numerical Methods in Engineering</i>. 2002;44(11):1727-1747. doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>"},"publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","doi":"10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p","volume":44,"author":[{"last_name":"Johansson","full_name":"Johansson, Magnus","first_name":"Magnus"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"},{"last_name":"Runesson","full_name":"Runesson, Kenneth","first_name":"Kenneth"}],"date_updated":"2023-05-31T12:18:12Z","publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"year":"2002","issue":"11","quality_controlled":"1","title":"Efficient integration technique for generalized viscoplasticity coupled to damage","date_created":"2023-05-31T12:17:46Z","publisher":"Wiley"}]