[{"type":"journal_article","publication":"International Journal of Solids and Structures","status":"public","_id":"60124","user_id":"60816","article_number":"113465","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0020-7683"]},"year":"2025","citation":{"apa":"Westermann, H., &#38; Mahnken, R. (2025). Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua. <i>International Journal of Solids and Structures</i>, Article 113465. <a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">https://doi.org/10.1016/j.ijsolstr.2025.113465</a>","mla":"Westermann, Hendrik, and Rolf Mahnken. “Thermodynamically Consistent Phase-Field Modeling for Polycrystalline Multi-Phase Continua.” <i>International Journal of Solids and Structures</i>, 113465, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">10.1016/j.ijsolstr.2025.113465</a>.","bibtex":"@article{Westermann_Mahnken_2025, title={Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua}, DOI={<a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">10.1016/j.ijsolstr.2025.113465</a>}, number={113465}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2025} }","short":"H. Westermann, R. Mahnken, International Journal of Solids and Structures (2025).","ama":"Westermann H, Mahnken R. Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua. <i>International Journal of Solids and Structures</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">10.1016/j.ijsolstr.2025.113465</a>","chicago":"Westermann, Hendrik, and Rolf Mahnken. “Thermodynamically Consistent Phase-Field Modeling for Polycrystalline Multi-Phase Continua.” <i>International Journal of Solids and Structures</i>, 2025. <a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">https://doi.org/10.1016/j.ijsolstr.2025.113465</a>.","ieee":"H. Westermann and R. Mahnken, “Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua,” <i>International Journal of Solids and Structures</i>, Art. no. 113465, 2025, doi: <a href=\"https://doi.org/10.1016/j.ijsolstr.2025.113465\">10.1016/j.ijsolstr.2025.113465</a>."},"date_updated":"2025-06-06T14:24:50Z","publisher":"Elsevier BV","date_created":"2025-06-03T19:48:12Z","author":[{"full_name":"Westermann, Hendrik","id":"60816","orcid":"0000-0002-5034-9708","last_name":"Westermann","first_name":"Hendrik"},{"last_name":"Mahnken","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"title":"Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua","doi":"10.1016/j.ijsolstr.2025.113465"},{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"user_id":"335","department":[{"_id":"154"},{"_id":"321"}],"_id":"52233","status":"public","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."}],"type":"journal_article","publication":"Computational Mechanics","doi":"10.1007/s00466-024-02442-y","title":"Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods","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","publisher":"Springer Science and Business Media LLC","date_updated":"2024-03-19T12:14:07Z","citation":{"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} }","short":"R. Mahnken, H. Westermann, Computational Mechanics (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>","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>.","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>.","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>"},"year":"2024","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0178-7675","1432-0924"]}},{"_id":"48464","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"PAMM","abstract":[{"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>","lang":"eng"}],"status":"public","date_updated":"2023-11-07T14:34:44Z","publisher":"Wiley","date_created":"2023-10-25T10:46:57Z","author":[{"first_name":"Hendrik","orcid":"0000-0002-5034-9708","last_name":"Westermann","full_name":"Westermann, Hendrik","id":"60816"},{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"}],"volume":23,"title":"Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method","doi":"10.1002/pamm.202300071","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["1617-7061","1617-7061"]},"issue":"2","year":"2023","citation":{"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>","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>.","short":"H. Westermann, R. Mahnken, PAMM 23 (2023).","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} }","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>.","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>.","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>"},"intvolume":"        23"},{"_id":"48465","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"article_number":"116545","type":"journal_article","status":"public","date_updated":"2023-11-07T14:34:56Z","author":[{"orcid":"0000-0002-5034-9708","last_name":"Westermann","id":"60816","full_name":"Westermann, Hendrik","first_name":"Hendrik"},{"last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"volume":418,"doi":"10.1016/j.cma.2023.116545","publication_status":"published","publication_identifier":{"issn":["0045-7825"]},"citation":{"short":"H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).","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>.","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} }","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>","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>.","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>"},"intvolume":"       418","keyword":["Computer Science Applications","General Physics and Astronomy","Mechanical Engineering","Mechanics of Materials","Computational Mechanics"],"language":[{"iso":"eng"}],"publication":"Computer Methods in Applied Mechanics and Engineering","publisher":"Elsevier BV","date_created":"2023-10-25T10:47:23Z","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","quality_controlled":"1","year":"2023"},{"_id":"44891","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","status":"public","type":"journal_article","doi":"10.1002/pamm.202200080","date_updated":"2023-05-16T12:21:15Z","volume":22,"author":[{"last_name":"Westermann","orcid":"0000-0002-5034-9708","id":"60816","full_name":"Westermann, Hendrik","first_name":"Hendrik"},{"first_name":"Rolf","id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken"}],"intvolume":"        22","citation":{"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>.","short":"H. Westermann, R. Mahnken, PAMM 22 (2023).","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} }","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>","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","keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics"],"language":[{"iso":"eng"}],"publication":"PAMM","title":"A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations","publisher":"Wiley","date_created":"2023-05-16T12:20:19Z","year":"2023","quality_controlled":"1","issue":"1"},{"publication_identifier":{"issn":["1611-3683","1869-344X"]},"quality_controlled":"1","publication_status":"published","citation":{"short":"H. Westermann, A. Reitz, R. Mahnken, M. Schaper, O. Grydin, Steel Research International (2022).","bibtex":"@article{Westermann_Reitz_Mahnken_Schaper_Grydin_2022, title={Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing}, DOI={<a href=\"https://doi.org/10.1002/srin.202100346\">10.1002/srin.202100346</a>}, journal={steel research international}, author={Westermann, Hendrik and Reitz, Alexander and Mahnken, Rolf and Schaper, Mirko and Grydin, Olexandr}, year={2022} }","mla":"Westermann, Hendrik, et al. “Microstructure Transformations in a Press Hardening Steel during Tailored Thermo‐mechanical Processing.” <i>Steel Research International</i>, 2022, doi:<a href=\"https://doi.org/10.1002/srin.202100346\">10.1002/srin.202100346</a>.","apa":"Westermann, H., Reitz, A., Mahnken, R., Schaper, M., &#38; Grydin, O. (2022). Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing. <i>Steel Research International</i>. <a href=\"https://doi.org/10.1002/srin.202100346\">https://doi.org/10.1002/srin.202100346</a>","ieee":"H. Westermann, A. Reitz, R. Mahnken, M. Schaper, and O. Grydin, “Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing,” <i>steel research international</i>, 2022, doi: <a href=\"https://doi.org/10.1002/srin.202100346\">10.1002/srin.202100346</a>.","chicago":"Westermann, Hendrik, Alexander Reitz, Rolf Mahnken, Mirko Schaper, and Olexandr Grydin. “Microstructure Transformations in a Press Hardening Steel during Tailored Thermo‐mechanical Processing.” <i>Steel Research International</i>, 2022. <a href=\"https://doi.org/10.1002/srin.202100346\">https://doi.org/10.1002/srin.202100346</a>.","ama":"Westermann H, Reitz A, Mahnken R, Schaper M, Grydin O. Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing. <i>steel research international</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1002/srin.202100346\">10.1002/srin.202100346</a>"},"year":"2022","author":[{"first_name":"Hendrik","orcid":"0000-0002-5034-9708","last_name":"Westermann","id":"60816","full_name":"Westermann, Hendrik"},{"first_name":"Alexander","orcid":"0000-0001-9047-467X","last_name":"Reitz","id":"24803","full_name":"Reitz, Alexander"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"},{"last_name":"Schaper","full_name":"Schaper, Mirko","id":"43720","first_name":"Mirko"},{"first_name":"Olexandr","last_name":"Grydin","id":"43822","full_name":"Grydin, Olexandr"}],"date_created":"2021-09-06T12:00:55Z","oa":"1","date_updated":"2023-04-27T16:39:38Z","doi":"10.1002/srin.202100346","main_file_link":[{"url":"https://doi.org/10.1002/srin.202100346 [Titel anhand dieser DOI in Citavi-Projekt übernehmen] ","open_access":"1"}],"title":"Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing","publication":"steel research international","type":"journal_article","status":"public","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"},{"_id":"158"}],"user_id":"43720","_id":"23794","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"29089","status":"public","publication":"PAMM","type":"journal_article","doi":"10.1002/pamm.202100041","title":"Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing","author":[{"first_name":"Hendrik","full_name":"Westermann, Hendrik","id":"60816","orcid":"0000-0002-5034-9708","last_name":"Westermann"},{"orcid":"0000-0001-9047-467X","last_name":"Reitz","full_name":"Reitz, Alexander","id":"24803","first_name":"Alexander"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"},{"first_name":"Olexandr","last_name":"Grydin","id":"43822","full_name":"Grydin, Olexandr"},{"full_name":"Schaper, Mirko","id":"43720","last_name":"Schaper","first_name":"Mirko"}],"date_created":"2021-12-22T12:41:34Z","date_updated":"2023-01-24T12:54:26Z","citation":{"apa":"Westermann, H., Reitz, A., Mahnken, R., Grydin, O., &#38; Schaper, M. (2021). Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing. <i>PAMM</i>. <a href=\"https://doi.org/10.1002/pamm.202100041\">https://doi.org/10.1002/pamm.202100041</a>","mla":"Westermann, Hendrik, et al. “Constitutive Modeling of Viscoplasticity Including Phase Transformations for Graded Thermo‐mechanical Processing.” <i>PAMM</i>, 2021, doi:<a href=\"https://doi.org/10.1002/pamm.202100041\">10.1002/pamm.202100041</a>.","bibtex":"@article{Westermann_Reitz_Mahnken_Grydin_Schaper_2021, title={Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing}, DOI={<a href=\"https://doi.org/10.1002/pamm.202100041\">10.1002/pamm.202100041</a>}, journal={PAMM}, author={Westermann, Hendrik and Reitz, Alexander and Mahnken, Rolf and Grydin, Olexandr and Schaper, Mirko}, year={2021} }","short":"H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021).","ieee":"H. Westermann, A. Reitz, R. Mahnken, O. Grydin, and M. Schaper, “Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing,” <i>PAMM</i>, 2021, doi: <a href=\"https://doi.org/10.1002/pamm.202100041\">10.1002/pamm.202100041</a>.","chicago":"Westermann, Hendrik, Alexander Reitz, Rolf Mahnken, Olexandr Grydin, and Mirko Schaper. “Constitutive Modeling of Viscoplasticity Including Phase Transformations for Graded Thermo‐mechanical Processing.” <i>PAMM</i>, 2021. <a href=\"https://doi.org/10.1002/pamm.202100041\">https://doi.org/10.1002/pamm.202100041</a>.","ama":"Westermann H, Reitz A, Mahnken R, Grydin O, Schaper M. Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing. <i>PAMM</i>. Published online 2021. doi:<a href=\"https://doi.org/10.1002/pamm.202100041\">10.1002/pamm.202100041</a>"},"year":"2021","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published"},{"publication":"PAMM","type":"journal_article","status":"public","_id":"24384","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","year":"2021","citation":{"ieee":"H. Westermann and R. Mahnken, “Constitutive modeling of dynamic recrystallization coupled to viscoplasticity,” <i>PAMM</i>, 2021, doi: <a href=\"https://doi.org/10.1002/pamm.202000186\">10.1002/pamm.202000186</a>.","chicago":"Westermann, Hendrik, and Rolf Mahnken. “Constitutive Modeling of Dynamic Recrystallization Coupled to Viscoplasticity.” <i>PAMM</i>, 2021. <a href=\"https://doi.org/10.1002/pamm.202000186\">https://doi.org/10.1002/pamm.202000186</a>.","ama":"Westermann H, Mahnken R. Constitutive modeling of dynamic recrystallization coupled to viscoplasticity. <i>PAMM</i>. Published online 2021. doi:<a href=\"https://doi.org/10.1002/pamm.202000186\">10.1002/pamm.202000186</a>","short":"H. Westermann, R. 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