[{"intvolume":"       127","citation":{"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>","short":"A.T. Simeu, I. Caylak, R. Ostwald, International Journal for Numerical Methods in Engineering 127 (2026).","bibtex":"@article{Simeu_Caylak_Ostwald_2026, title={Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws}, volume={127}, DOI={<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} }","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>.","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>."},"publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","doi":"10.1002/nme.70294","date_updated":"2026-03-18T05:31:02Z","volume":127,"author":[{"last_name":"Simeu","full_name":"Simeu, Arnold Tchomgue","first_name":"Arnold Tchomgue"},{"full_name":"Caylak, Ismail","id":"75","last_name":"Caylak","first_name":"Ismail"},{"first_name":"Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard","id":"106876"}],"status":"public","type":"journal_article","article_number":"e70294","_id":"65037","department":[{"_id":"9"},{"_id":"952"},{"_id":"321"}],"user_id":"85414","year":"2026","quality_controlled":"1","issue":"6","title":"Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws","publisher":"Wiley","date_created":"2026-03-18T05:28:29Z","abstract":[{"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>","lang":"eng"}],"publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}]},{"type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","status":"public","_id":"13805","user_id":"78813","department":[{"_id":"154"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"year":"2019","citation":{"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>","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>.","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>","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."},"date_updated":"2022-01-06T06:51:45Z","author":[{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf"},{"full_name":"Ju, Xiaozhe","last_name":"Ju","first_name":"Xiaozhe"}],"date_created":"2019-10-14T12:05:50Z","title":"Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity","doi":"10.1002/nme.6209"},{"user_id":"78813","department":[{"_id":"154"}],"_id":"10005","language":[{"iso":"eng"}],"type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","status":"public","date_created":"2019-05-27T11:37:22Z","author":[{"last_name":"Ju","full_name":"Ju, X.","first_name":"X."},{"first_name":"R.","full_name":"Mahnken, R.","last_name":"Mahnken"}],"date_updated":"2022-01-06T06:50:22Z","doi":"10.1002/nme.5996","title":"Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis","publication_status":"published","publication_identifier":{"issn":["0029-5981"]},"citation":{"mla":"Ju, X., and R. Mahnken. “Goal-Oriented Adaptivity for Linear Elastic Micromorphic Continua Based on Primal and Adjoint Consistency Analysis.” <i>International Journal for Numerical Methods in Engineering</i>, 2018, pp. 472–73, doi:<a href=\"https://doi.org/10.1002/nme.5996\">10.1002/nme.5996</a>.","short":"X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering (2018) 472–473.","bibtex":"@article{Ju_Mahnken_2018, title={Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis}, DOI={<a href=\"https://doi.org/10.1002/nme.5996\">10.1002/nme.5996</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Ju, X. and Mahnken, R.}, year={2018}, pages={472–473} }","apa":"Ju, X., &#38; Mahnken, R. (2018). Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis. <i>International Journal for Numerical Methods in Engineering</i>, 472–473. <a href=\"https://doi.org/10.1002/nme.5996\">https://doi.org/10.1002/nme.5996</a>","chicago":"Ju, X., and R. Mahnken. “Goal-Oriented Adaptivity for Linear Elastic Micromorphic Continua Based on Primal and Adjoint Consistency Analysis.” <i>International Journal for Numerical Methods in Engineering</i>, 2018, 472–73. <a href=\"https://doi.org/10.1002/nme.5996\">https://doi.org/10.1002/nme.5996</a>.","ieee":"X. Ju and R. Mahnken, “Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 472–473, 2018.","ama":"Ju X, Mahnken R. Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis. <i>International Journal for Numerical Methods in Engineering</i>. 2018:472-473. doi:<a href=\"https://doi.org/10.1002/nme.5996\">10.1002/nme.5996</a>"},"page":"472-473","year":"2018"},{"language":[{"iso":"eng"}],"_id":"9989","user_id":"78813","department":[{"_id":"154"}],"status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","title":"\"Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis\"","doi":"10.1002/nme.5541","date_updated":"2019-05-27T10:50:56Z","author":[{"first_name":"X.","full_name":"Ju, X.","last_name":"Ju"},{"full_name":"Mahnken, R.","last_name":"Mahnken","first_name":"R."}],"date_created":"2019-05-27T10:08:39Z","year":"2017","citation":{"ama":"Ju X, Mahnken R. “Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis.” <i>International Journal for Numerical Methods in Engineering</i>. 2017:1017-1039. doi:<a href=\"https://doi.org/10.1002/nme.5541\">10.1002/nme.5541</a>","chicago":"Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity for Linear Elastic Micromorphic Continua Based on Primal and Adjoint Consistency Analysis.’” <i>International Journal for Numerical Methods in Engineering</i>, 2017, 1017–39. <a href=\"https://doi.org/10.1002/nme.5541\">https://doi.org/10.1002/nme.5541</a>.","ieee":"X. Ju and R. Mahnken, “‘Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis,’” <i>International Journal for Numerical Methods in Engineering</i>, pp. 1017–1039, 2017.","apa":"Ju, X., &#38; Mahnken, R. (2017). “Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis.” <i>International Journal for Numerical Methods in Engineering</i>, 1017–1039. <a href=\"https://doi.org/10.1002/nme.5541\">https://doi.org/10.1002/nme.5541</a>","short":"X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering (2017) 1017–1039.","mla":"Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity for Linear Elastic Micromorphic Continua Based on Primal and Adjoint Consistency Analysis.’” <i>International Journal for Numerical Methods in Engineering</i>, 2017, pp. 1017–39, doi:<a href=\"https://doi.org/10.1002/nme.5541\">10.1002/nme.5541</a>.","bibtex":"@article{Ju_Mahnken_2017, title={“Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis”}, DOI={<a href=\"https://doi.org/10.1002/nme.5541\">10.1002/nme.5541</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Ju, X. and Mahnken, R.}, year={2017}, pages={1017–1039} }"},"page":"1017-1039","publication_status":"published","publication_identifier":{"issn":["0029-5981"]}},{"title":"Dual-based adaptive FEM for inelastic problems with standard FE implementations","doi":"10.1002/nme.5156","date_updated":"2023-01-24T14:31:13Z","date_created":"2021-09-17T10:08:24Z","author":[{"first_name":"K.-U.","last_name":"Widany","full_name":"Widany, K.-U."},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"}],"year":"2015","citation":{"ieee":"K.-U. Widany and R. Mahnken, “Dual-based adaptive FEM for inelastic problems with standard FE implementations,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 127–154, 2015, doi: <a href=\"https://doi.org/10.1002/nme.5156\">10.1002/nme.5156</a>.","chicago":"Widany, K.-U., and Rolf Mahnken. “Dual-Based Adaptive FEM for Inelastic Problems with Standard FE Implementations.” <i>International Journal for Numerical Methods in Engineering</i>, 2015, 127–54. <a href=\"https://doi.org/10.1002/nme.5156\">https://doi.org/10.1002/nme.5156</a>.","ama":"Widany K-U, Mahnken R. Dual-based adaptive FEM for inelastic problems with standard FE implementations. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2015:127-154. doi:<a href=\"https://doi.org/10.1002/nme.5156\">10.1002/nme.5156</a>","short":"K.-U. Widany, R. Mahnken, International Journal for Numerical Methods in Engineering (2015) 127–154.","mla":"Widany, K. U., and Rolf Mahnken. “Dual-Based Adaptive FEM for Inelastic Problems with Standard FE Implementations.” <i>International Journal for Numerical Methods in Engineering</i>, 2015, pp. 127–54, doi:<a href=\"https://doi.org/10.1002/nme.5156\">10.1002/nme.5156</a>.","bibtex":"@article{Widany_Mahnken_2015, title={Dual-based adaptive FEM for inelastic problems with standard FE implementations}, DOI={<a href=\"https://doi.org/10.1002/nme.5156\">10.1002/nme.5156</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Widany, K.-U. and Mahnken, Rolf}, year={2015}, pages={127–154} }","apa":"Widany, K.-U., &#38; Mahnken, R. (2015). Dual-based adaptive FEM for inelastic problems with standard FE implementations. <i>International Journal for Numerical Methods in Engineering</i>, 127–154. <a href=\"https://doi.org/10.1002/nme.5156\">https://doi.org/10.1002/nme.5156</a>"},"page":"127-154","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0029-5981"]},"language":[{"iso":"eng"}],"_id":"24641","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering"},{"type":"journal_article","status":"public","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62785","publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"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>","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>","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>."},"page":"851-877","intvolume":"        97","author":[{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","full_name":"Ostwald, Richard"},{"first_name":"Thorsten","full_name":"Bartel, Thorsten","last_name":"Bartel"},{"last_name":"Menzel","full_name":"Menzel, Andreas","first_name":"Andreas"}],"volume":97,"date_updated":"2025-12-03T13:14:32Z","doi":"10.1002/nme.4601","publication":"International Journal for Numerical Methods in Engineering","abstract":[{"lang":"eng","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>"}],"language":[{"iso":"eng"}],"issue":"12","quality_controlled":"1","year":"2014","date_created":"2025-12-03T13:13:55Z","publisher":"Wiley","title":"A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations"},{"language":[{"iso":"eng"}],"_id":"24715","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","title":"Goal-oriented adaptive refinement for phase field modeling with finite elements","doi":"10.1002/nme.4464","date_updated":"2023-01-24T15:10:25Z","author":[{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"}],"date_created":"2021-09-20T12:57:14Z","year":"2013","citation":{"bibtex":"@article{Mahnken_2013, title={Goal-oriented adaptive refinement for phase field modeling with finite elements}, DOI={<a href=\"https://doi.org/10.1002/nme.4464\">10.1002/nme.4464</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf}, year={2013}, pages={418–440} }","mla":"Mahnken, Rolf. “Goal-Oriented Adaptive Refinement for Phase Field Modeling with Finite Elements.” <i>International Journal for Numerical Methods in Engineering</i>, 2013, pp. 418–40, doi:<a href=\"https://doi.org/10.1002/nme.4464\">10.1002/nme.4464</a>.","short":"R. Mahnken, International Journal for Numerical Methods in Engineering (2013) 418–440.","apa":"Mahnken, R. (2013). Goal-oriented adaptive refinement for phase field modeling with finite elements. <i>International Journal for Numerical Methods in Engineering</i>, 418–440. <a href=\"https://doi.org/10.1002/nme.4464\">https://doi.org/10.1002/nme.4464</a>","ama":"Mahnken R. Goal-oriented adaptive refinement for phase field modeling with finite elements. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2013:418-440. doi:<a href=\"https://doi.org/10.1002/nme.4464\">10.1002/nme.4464</a>","ieee":"R. Mahnken, “Goal-oriented adaptive refinement for phase field modeling with finite elements,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 418–440, 2013, doi: <a href=\"https://doi.org/10.1002/nme.4464\">10.1002/nme.4464</a>.","chicago":"Mahnken, Rolf. “Goal-Oriented Adaptive Refinement for Phase Field Modeling with Finite Elements.” <i>International Journal for Numerical Methods in Engineering</i>, 2013, 418–40. <a href=\"https://doi.org/10.1002/nme.4464\">https://doi.org/10.1002/nme.4464</a>."},"page":"418-440","publication_status":"published","publication_identifier":{"issn":["0029-5981"]},"quality_controlled":"1"},{"quality_controlled":"1","publication_identifier":{"issn":["0029-5981"]},"publication_status":"published","page":"1183-1206","citation":{"ieee":"M. Wolff, M. Böhm, R. Mahnken, and B. Suhr, “Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account,” <i>International Journal for Numerical Methods in Engineering</i>, pp. 1183–1206, 2011, doi: <a href=\"https://doi.org/10.1002/nme.3154\">10.1002/nme.3154</a>.","chicago":"Wolff, Michael, Michael Böhm, Rolf Mahnken, and Bettina Suhr. “Implementation of an Algorithm for General Material Behavior of Steel Taking Interaction between Plasticity and Transformation-Induced Plasticity into Account.” <i>International Journal for Numerical Methods in Engineering</i>, 2011, 1183–1206. <a href=\"https://doi.org/10.1002/nme.3154\">https://doi.org/10.1002/nme.3154</a>.","ama":"Wolff M, Böhm M, Mahnken R, Suhr B. Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account. <i>International Journal for Numerical Methods in Engineering</i>. Published online 2011:1183-1206. doi:<a href=\"https://doi.org/10.1002/nme.3154\">10.1002/nme.3154</a>","mla":"Wolff, Michael, et al. “Implementation of an Algorithm for General Material Behavior of Steel Taking Interaction between Plasticity and Transformation-Induced Plasticity into Account.” <i>International Journal for Numerical Methods in Engineering</i>, 2011, pp. 1183–206, doi:<a href=\"https://doi.org/10.1002/nme.3154\">10.1002/nme.3154</a>.","bibtex":"@article{Wolff_Böhm_Mahnken_Suhr_2011, title={Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account}, DOI={<a href=\"https://doi.org/10.1002/nme.3154\">10.1002/nme.3154</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Wolff, Michael and Böhm, Michael and Mahnken, Rolf and Suhr, Bettina}, year={2011}, pages={1183–1206} }","short":"M. Wolff, M. Böhm, R. Mahnken, B. Suhr, International Journal for Numerical Methods in Engineering (2011) 1183–1206.","apa":"Wolff, M., Böhm, M., Mahnken, R., &#38; Suhr, B. (2011). Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account. <i>International Journal for Numerical Methods in Engineering</i>, 1183–1206. <a href=\"https://doi.org/10.1002/nme.3154\">https://doi.org/10.1002/nme.3154</a>"},"year":"2011","date_created":"2021-09-28T13:05:43Z","author":[{"last_name":"Wolff","full_name":"Wolff, Michael","first_name":"Michael"},{"first_name":"Michael","last_name":"Böhm","full_name":"Böhm, Michael"},{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"},{"first_name":"Bettina","full_name":"Suhr, Bettina","last_name":"Suhr"}],"date_updated":"2023-01-24T15:13:21Z","doi":"10.1002/nme.3154","title":"Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account","publication":"International Journal for Numerical Methods in Engineering","type":"journal_article","status":"public","department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","_id":"25087","language":[{"iso":"eng"}]},{"status":"public","type":"journal_article","publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}],"user_id":"335","department":[{"_id":"9"},{"_id":"154"}],"_id":"19113","citation":{"apa":"Caylak, I., &#38; Mahnken, R. (2011). Stabilization of mixed tetrahedral elements at large deformations. <i>International Journal for Numerical Methods in Engineering</i>, 218–242. <a href=\"https://doi.org/10.1002/nme.3320\">https://doi.org/10.1002/nme.3320</a>","short":"I. Caylak, R. Mahnken, International Journal for Numerical Methods in Engineering (2011) 218–242.","bibtex":"@article{Caylak_Mahnken_2011, title={Stabilization of mixed tetrahedral elements at large deformations}, DOI={<a href=\"https://doi.org/10.1002/nme.3320\">10.1002/nme.3320</a>}, journal={International Journal for Numerical Methods in Engineering}, author={Caylak, Ismail and Mahnken, Rolf}, year={2011}, pages={218–242} }","mla":"Caylak, Ismail, and Rolf Mahnken. “Stabilization of Mixed Tetrahedral Elements at Large Deformations.” <i>International Journal for Numerical Methods in Engineering</i>, 2011, pp. 218–42, doi:<a href=\"https://doi.org/10.1002/nme.3320\">10.1002/nme.3320</a>.","ieee":"I. Caylak and R. 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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>"},"_id":"26256","department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","language":[{"iso":"eng"}],"publication":"International Journal for Numerical Methods in Engineering","type":"journal_article","status":"public"},{"date_updated":"2023-01-25T14:32:33Z","author":[{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"},{"last_name":"Caylak","id":"75","full_name":"Caylak, Ismail","first_name":"Ismail"}],"date_created":"2020-09-08T10:19:51Z","title":"Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions","doi":"10.1002/nme.2264","quality_controlled":"1","publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published","year":"2007","page":"377-413","citation":{"apa":"Mahnken, R., &#38; Caylak, I. 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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>","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} }","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>.","short":"R. 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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>.","ama":"Mahnken R. 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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>","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>.","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>","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} }","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>.","short":"M. Johansson, R. Mahnken, K. Runesson, International Journal for Numerical Methods in Engineering 44 (2002) 1727–1747."},"publication_identifier":{"issn":["0029-5981","1097-0207"]},"publication_status":"published"}]