[{"status":"public","publication":"Procedia Manufacturing","type":"journal_article","language":[{"iso":"eng"}],"_id":"62776","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","year":"2020","intvolume":"        47","page":"649-655","citation":{"ieee":"T. Clausmeyer <i>et al.</i>, “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion,” <i>Procedia Manufacturing</i>, vol. 47, pp. 649–655, 2020, doi: <a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">10.1016/j.promfg.2020.04.201</a>.","chicago":"Clausmeyer, Till, Alexander Schowtjak, Shuhan Wang, Robin Gitschel, Oliver Hering, Pavlo Pavliuchenko, Johannes Lohmar, Richard Ostwald, Gerhard Hirt, and A. Erman Tekkaya. “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion.” <i>Procedia Manufacturing</i> 47 (2020): 649–55. <a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">https://doi.org/10.1016/j.promfg.2020.04.201</a>.","ama":"Clausmeyer T, Schowtjak A, Wang S, et al. Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion. <i>Procedia Manufacturing</i>. 2020;47:649-655. doi:<a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">10.1016/j.promfg.2020.04.201</a>","apa":"Clausmeyer, T., Schowtjak, A., Wang, S., Gitschel, R., Hering, O., Pavliuchenko, P., Lohmar, J., Ostwald, R., Hirt, G., &#38; Tekkaya, A. E. (2020). Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion. <i>Procedia Manufacturing</i>, <i>47</i>, 649–655. <a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">https://doi.org/10.1016/j.promfg.2020.04.201</a>","mla":"Clausmeyer, Till, et al. “Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion.” <i>Procedia Manufacturing</i>, vol. 47, Elsevier BV, 2020, pp. 649–55, doi:<a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">10.1016/j.promfg.2020.04.201</a>.","short":"T. Clausmeyer, A. Schowtjak, S. Wang, R. Gitschel, O. Hering, P. Pavliuchenko, J. Lohmar, R. Ostwald, G. Hirt, A.E. Tekkaya, Procedia Manufacturing 47 (2020) 649–655.","bibtex":"@article{Clausmeyer_Schowtjak_Wang_Gitschel_Hering_Pavliuchenko_Lohmar_Ostwald_Hirt_Tekkaya_2020, title={Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion}, volume={47}, DOI={<a href=\"https://doi.org/10.1016/j.promfg.2020.04.201\">10.1016/j.promfg.2020.04.201</a>}, journal={Procedia Manufacturing}, publisher={Elsevier BV}, author={Clausmeyer, Till and Schowtjak, Alexander and Wang, Shuhan and Gitschel, Robin and Hering, Oliver and Pavliuchenko, Pavlo and Lohmar, Johannes and Ostwald, Richard and Hirt, Gerhard and Tekkaya, A. Erman}, year={2020}, pages={649–655} }"},"quality_controlled":"1","publication_identifier":{"issn":["2351-9789"]},"publication_status":"published","title":"Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward Rod Extrusion","doi":"10.1016/j.promfg.2020.04.201","date_updated":"2025-12-03T12:59:23Z","publisher":"Elsevier BV","volume":47,"author":[{"full_name":"Clausmeyer, Till","last_name":"Clausmeyer","first_name":"Till"},{"first_name":"Alexander","last_name":"Schowtjak","full_name":"Schowtjak, Alexander"},{"first_name":"Shuhan","full_name":"Wang, Shuhan","last_name":"Wang"},{"last_name":"Gitschel","full_name":"Gitschel, Robin","first_name":"Robin"},{"first_name":"Oliver","last_name":"Hering","full_name":"Hering, Oliver"},{"first_name":"Pavlo","last_name":"Pavliuchenko","full_name":"Pavliuchenko, Pavlo"},{"full_name":"Lohmar, Johannes","last_name":"Lohmar","first_name":"Johannes"},{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"first_name":"Gerhard","full_name":"Hirt, Gerhard","last_name":"Hirt"},{"first_name":"A. Erman","last_name":"Tekkaya","full_name":"Tekkaya, A. Erman"}],"date_created":"2025-12-03T12:58:23Z"},{"department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62775","language":[{"iso":"eng"}],"publication":"Production Engineering","type":"journal_article","status":"public","volume":14,"date_created":"2025-12-03T12:56:37Z","author":[{"last_name":"Schowtjak","full_name":"Schowtjak, Alexander","first_name":"Alexander"},{"last_name":"Wang","full_name":"Wang, Shuhan","first_name":"Shuhan"},{"full_name":"Hering, Oliver","last_name":"Hering","first_name":"Oliver"},{"last_name":"Clausmeyer","full_name":"Clausmeyer, Till","first_name":"Till"},{"first_name":"Johannes","last_name":"Lohmar","full_name":"Lohmar, Johannes"},{"first_name":"Robin","last_name":"Schulte","full_name":"Schulte, Robin"},{"id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"},{"full_name":"Hirt, Gerhard","last_name":"Hirt","first_name":"Gerhard"},{"first_name":"A. Erman","full_name":"Tekkaya, A. Erman","last_name":"Tekkaya"}],"date_updated":"2025-12-03T12:57:33Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s11740-019-00935-x","title":"Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion","issue":"1","publication_identifier":{"issn":["0944-6524","1863-7353"]},"quality_controlled":"1","publication_status":"published","page":"33-41","intvolume":"        14","citation":{"bibtex":"@article{Schowtjak_Wang_Hering_Clausmeyer_Lohmar_Schulte_Ostwald_Hirt_Tekkaya_2019, title={Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion}, volume={14}, DOI={<a href=\"https://doi.org/10.1007/s11740-019-00935-x\">10.1007/s11740-019-00935-x</a>}, number={1}, journal={Production Engineering}, publisher={Springer Science and Business Media LLC}, author={Schowtjak, Alexander and Wang, Shuhan and Hering, Oliver and Clausmeyer, Till and Lohmar, Johannes and Schulte, Robin and Ostwald, Richard and Hirt, Gerhard and Tekkaya, A. Erman}, year={2019}, pages={33–41} }","mla":"Schowtjak, Alexander, et al. “Prediction and Analysis of Damage Evolution during Caliber Rolling and Subsequent Cold Forward Extrusion.” <i>Production Engineering</i>, vol. 14, no. 1, Springer Science and Business Media LLC, 2019, pp. 33–41, doi:<a href=\"https://doi.org/10.1007/s11740-019-00935-x\">10.1007/s11740-019-00935-x</a>.","short":"A. Schowtjak, S. Wang, O. Hering, T. Clausmeyer, J. Lohmar, R. Schulte, R. Ostwald, G. Hirt, A.E. Tekkaya, Production Engineering 14 (2019) 33–41.","apa":"Schowtjak, A., Wang, S., Hering, O., Clausmeyer, T., Lohmar, J., Schulte, R., Ostwald, R., Hirt, G., &#38; Tekkaya, A. E. (2019). Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion. <i>Production Engineering</i>, <i>14</i>(1), 33–41. <a href=\"https://doi.org/10.1007/s11740-019-00935-x\">https://doi.org/10.1007/s11740-019-00935-x</a>","chicago":"Schowtjak, Alexander, Shuhan Wang, Oliver Hering, Till Clausmeyer, Johannes Lohmar, Robin Schulte, Richard Ostwald, Gerhard Hirt, and A. Erman Tekkaya. “Prediction and Analysis of Damage Evolution during Caliber Rolling and Subsequent Cold Forward Extrusion.” <i>Production Engineering</i> 14, no. 1 (2019): 33–41. <a href=\"https://doi.org/10.1007/s11740-019-00935-x\">https://doi.org/10.1007/s11740-019-00935-x</a>.","ieee":"A. Schowtjak <i>et al.</i>, “Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion,” <i>Production Engineering</i>, vol. 14, no. 1, pp. 33–41, 2019, doi: <a href=\"https://doi.org/10.1007/s11740-019-00935-x\">10.1007/s11740-019-00935-x</a>.","ama":"Schowtjak A, Wang S, Hering O, et al. Prediction and analysis of damage evolution during caliber rolling and subsequent cold forward extrusion. <i>Production Engineering</i>. 2019;14(1):33-41. doi:<a href=\"https://doi.org/10.1007/s11740-019-00935-x\">10.1007/s11740-019-00935-x</a>"},"year":"2019"},{"language":[{"iso":"eng"}],"department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62779","status":"public","publication":"Computational Mechanics","type":"journal_article","doi":"10.1007/s00466-019-01684-5","title":"On the implementation of finite deformation gradient-enhanced damage models","volume":64,"author":[{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","full_name":"Ostwald, Richard","id":"106876"},{"last_name":"Kuhl","full_name":"Kuhl, Ellen","first_name":"Ellen"},{"last_name":"Menzel","full_name":"Menzel, Andreas","first_name":"Andreas"}],"date_created":"2025-12-03T13:02:41Z","date_updated":"2025-12-03T13:03:51Z","publisher":"Springer Science and Business Media LLC","page":"847-877","intvolume":"        64","citation":{"apa":"Ostwald, R., Kuhl, E., &#38; Menzel, A. (2019). On the implementation of finite deformation gradient-enhanced damage models. <i>Computational Mechanics</i>, <i>64</i>(3), 847–877. <a href=\"https://doi.org/10.1007/s00466-019-01684-5\">https://doi.org/10.1007/s00466-019-01684-5</a>","mla":"Ostwald, Richard, et al. “On the Implementation of Finite Deformation Gradient-Enhanced Damage Models.” <i>Computational Mechanics</i>, vol. 64, no. 3, Springer Science and Business Media LLC, 2019, pp. 847–77, doi:<a href=\"https://doi.org/10.1007/s00466-019-01684-5\">10.1007/s00466-019-01684-5</a>.","short":"R. Ostwald, E. Kuhl, A. Menzel, Computational Mechanics 64 (2019) 847–877.","bibtex":"@article{Ostwald_Kuhl_Menzel_2019, title={On the implementation of finite deformation gradient-enhanced damage models}, volume={64}, DOI={<a href=\"https://doi.org/10.1007/s00466-019-01684-5\">10.1007/s00466-019-01684-5</a>}, number={3}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Ostwald, Richard and Kuhl, Ellen and Menzel, Andreas}, year={2019}, pages={847–877} }","ieee":"R. Ostwald, E. Kuhl, and A. Menzel, “On the implementation of finite deformation gradient-enhanced damage models,” <i>Computational Mechanics</i>, vol. 64, no. 3, pp. 847–877, 2019, doi: <a href=\"https://doi.org/10.1007/s00466-019-01684-5\">10.1007/s00466-019-01684-5</a>.","chicago":"Ostwald, Richard, Ellen Kuhl, and Andreas Menzel. “On the Implementation of Finite Deformation Gradient-Enhanced Damage Models.” <i>Computational Mechanics</i> 64, no. 3 (2019): 847–77. <a href=\"https://doi.org/10.1007/s00466-019-01684-5\">https://doi.org/10.1007/s00466-019-01684-5</a>.","ama":"Ostwald R, Kuhl E, Menzel A. On the implementation of finite deformation gradient-enhanced damage models. <i>Computational Mechanics</i>. 2019;64(3):847-877. doi:<a href=\"https://doi.org/10.1007/s00466-019-01684-5\">10.1007/s00466-019-01684-5</a>"},"year":"2019","issue":"3","publication_identifier":{"issn":["0178-7675","1432-0924"]},"quality_controlled":"1","publication_status":"published"},{"status":"public","type":"conference","publication":"Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)","language":[{"iso":"eng"}],"_id":"62781","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"year":"2017","citation":{"ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION,” 2017, doi: <a href=\"https://doi.org/10.7712/100016.1945.10899\">10.7712/100016.1945.10899</a>.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION.” In <i>Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)</i>. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017. <a href=\"https://doi.org/10.7712/100016.1945.10899\">https://doi.org/10.7712/100016.1945.10899</a>.","ama":"Ostwald R, Bartel T, Menzel A. A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION. In: <i>Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)</i>. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece; 2017. doi:<a href=\"https://doi.org/10.7712/100016.1945.10899\">10.7712/100016.1945.10899</a>","mla":"Ostwald, Richard, et al. “A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION.” <i>Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)</i>, Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017, doi:<a href=\"https://doi.org/10.7712/100016.1945.10899\">10.7712/100016.1945.10899</a>.","short":"R. Ostwald, T. Bartel, A. Menzel, in: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017.","bibtex":"@inproceedings{Ostwald_Bartel_Menzel_2017, title={A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION}, DOI={<a href=\"https://doi.org/10.7712/100016.1945.10899\">10.7712/100016.1945.10899</a>}, booktitle={Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)}, publisher={Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2017} }","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2017). A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION. <i>Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)</i>. <a href=\"https://doi.org/10.7712/100016.1945.10899\">https://doi.org/10.7712/100016.1945.10899</a>"},"publication_status":"published","quality_controlled":"1","title":"A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION","doi":"10.7712/100016.1945.10899","publisher":"Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece","date_updated":"2025-12-03T13:08:15Z","date_created":"2025-12-03T13:07:09Z","author":[{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"first_name":"Thorsten","full_name":"Bartel, Thorsten","last_name":"Bartel"},{"first_name":"Andreas","last_name":"Menzel","full_name":"Menzel, Andreas"}]},{"publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","page":"381-382","intvolume":"        16","citation":{"apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2016). Extending a finite strain hyperelastic micro‐sphere framework towards phase transformations. <i>PAMM</i>, <i>16</i>(1), 381–382. <a href=\"https://doi.org/10.1002/pamm.201610179\">https://doi.org/10.1002/pamm.201610179</a>","mla":"Ostwald, Richard, et al. “Extending a Finite Strain Hyperelastic Micro‐sphere Framework towards Phase Transformations.” <i>PAMM</i>, vol. 16, no. 1, Wiley, 2016, pp. 381–82, doi:<a href=\"https://doi.org/10.1002/pamm.201610179\">10.1002/pamm.201610179</a>.","bibtex":"@article{Ostwald_Bartel_Menzel_2016, title={Extending a finite strain hyperelastic micro‐sphere framework towards phase transformations}, volume={16}, DOI={<a href=\"https://doi.org/10.1002/pamm.201610179\">10.1002/pamm.201610179</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2016}, pages={381–382} }","short":"R. Ostwald, T. Bartel, A. Menzel, PAMM 16 (2016) 381–382.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Extending a Finite Strain Hyperelastic Micro‐sphere Framework towards Phase Transformations.” <i>PAMM</i> 16, no. 1 (2016): 381–82. <a href=\"https://doi.org/10.1002/pamm.201610179\">https://doi.org/10.1002/pamm.201610179</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Extending a finite strain hyperelastic micro‐sphere framework towards phase transformations,” <i>PAMM</i>, vol. 16, no. 1, pp. 381–382, 2016, doi: <a href=\"https://doi.org/10.1002/pamm.201610179\">10.1002/pamm.201610179</a>.","ama":"Ostwald R, Bartel T, Menzel A. Extending a finite strain hyperelastic micro‐sphere framework towards phase transformations. <i>PAMM</i>. 2016;16(1):381-382. doi:<a href=\"https://doi.org/10.1002/pamm.201610179\">10.1002/pamm.201610179</a>"},"volume":16,"author":[{"first_name":"Richard","id":"106876","full_name":"Ostwald, Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"full_name":"Bartel, Thorsten","last_name":"Bartel","first_name":"Thorsten"},{"full_name":"Menzel, Andreas","last_name":"Menzel","first_name":"Andreas"}],"date_updated":"2025-12-03T13:10:01Z","doi":"10.1002/pamm.201610179","type":"journal_article","status":"public","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62782","issue":"1","quality_controlled":"1","year":"2016","date_created":"2025-12-03T13:09:18Z","publisher":"Wiley","title":"Extending a finite strain hyperelastic micro‐sphere framework towards phase transformations","publication":"PAMM","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>A finite strain micro‐sphere framework for hyperelastic solids elaborated by Carol et al. is extended towards the modelling of phase transformations in order to simulate polycrystalline solids under large deformations such as, e.g., shape memory alloys and shape memory polymers. The implemented phase transformation mechanism is based on statistical physics and is not restricted in terms of the number of solid material phases that can be considered, though we restrict the provided examples to two phases for the sake of conceptual clarity. The specifically chosen non‐quadratic format of the Helmholtz free energy functions considered on the micro‐plane level includes Bain‐type transformation strains for each of the phases considered. Following the Voigt assumption on the micro‐scale, identical total micro‐stretches act in each of the material phases, where a multiplicative decomposition into elastic and transformation‐related contributions is applied. (© 2016 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}]},{"citation":{"ama":"Ostwald R. <i>Modelling and Simulation of Phase Transformations in Elasto-Plastic Polycrystals</i>. LibreCat University; 2015. doi:<a href=\"https://doi.org/10.17877/DE290R-155\">10.17877/DE290R-155</a>","ieee":"R. Ostwald, <i>Modelling and simulation of phase transformations in elasto-plastic polycrystals</i>. LibreCat University, 2015.","chicago":"Ostwald, Richard. <i>Modelling and Simulation of Phase Transformations in Elasto-Plastic Polycrystals</i>. LibreCat University, 2015. <a href=\"https://doi.org/10.17877/DE290R-155\">https://doi.org/10.17877/DE290R-155</a>.","short":"R. Ostwald, Modelling and Simulation of Phase Transformations in Elasto-Plastic Polycrystals, LibreCat University, 2015.","mla":"Ostwald, Richard. <i>Modelling and Simulation of Phase Transformations in Elasto-Plastic Polycrystals</i>. LibreCat University, 2015, doi:<a href=\"https://doi.org/10.17877/DE290R-155\">10.17877/DE290R-155</a>.","bibtex":"@book{Ostwald_2015, title={Modelling and simulation of phase transformations in elasto-plastic polycrystals}, DOI={<a href=\"https://doi.org/10.17877/DE290R-155\">10.17877/DE290R-155</a>}, publisher={LibreCat University}, author={Ostwald, Richard}, year={2015} }","apa":"Ostwald, R. (2015). <i>Modelling and simulation of phase transformations in elasto-plastic polycrystals</i>. LibreCat University. <a href=\"https://doi.org/10.17877/DE290R-155\">https://doi.org/10.17877/DE290R-155</a>"},"year":"2015","date_created":"2025-12-03T13:11:56Z","author":[{"first_name":"Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard","id":"106876"}],"publisher":"LibreCat University","date_updated":"2025-12-03T13:13:25Z","doi":"10.17877/DE290R-155","title":"Modelling and simulation of phase transformations in elasto-plastic polycrystals","type":"dissertation","status":"public","abstract":[{"lang":"eng","text":"Die vorliegende Arbeit behandelt einen neuartigen Modellierungsrahmen zur Simulation von austenitisch-martensitischen Phasentransformationen in Formgedächtnislegierungen (SMA) und TRIP-Stählen. Das Ziel der Arbeit ist die Entwicklung und Ausarbeitung eines generalisierten Modells, welches das charakteristische makroskopische Verhalten sowohl von SMA als auch von TRIP-Stahl abbildet. Als Basis für die Formulierung dient ein skalarwertiges, thermodynamisch konsistentes, auf statistischer Physik basierendes Modell für die Simulation von SMA. Im Verlauf dieser Arbeit wird das Modell in affine und nicht-affine Microsphere-Formulierungen eingebettet um das polykristalline Materialverhalten abzubilden und um die Simulation dreidimensionaler Randwertprobleme zu ermöglichen. Darüberhinaus wird eine Kopplung an Plastizität vorgestellt, welche zusätzlich die Abbildung des Verhaltens von TRIP-Stahl ermöglicht. Abschließend wird die Implementierung eines dreidimensionalen Phasentransformationsmodells für finite Deformationen mit dem Fokus auf repräsentative Transformationsrichtungen in einem thermo-elastoplastischen Framework gezeigt."},{"text":"In this work, a new framework for the simulation of shape memory alloys (SMA) and TRIP steels undergoing martensite-austenite phase-transformations is introduced. The goal is the derivation and elaboration of a generalised model which facilitates the reflection of the characteristic macroscopic behaviour of SMA as well as of TRIP steels. The foundation of the overall formulation is a scalar-valued, thermodynamically consistent, statistical physics based model for the simulation of SMA. As this work proceeds, the model is implemented in affine and non-affine micro-sphere formulations in order to capture polycrystalline behaviour and to simulate three-dimensional boundary value problems. Moreover, a coupling to plasticity is introduced, additionally enabling the capturing of the macroscopic behaviour of TRIP steels. Finally, the implementation of a three-dimensional finite-deformation phase-transformation model that focuses on representative transformation directions is elaborated in a thermo-elastoplastic framework.","lang":"eng"}],"department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62784","language":[{"iso":"eng"}]},{"status":"public","publication":"Computer Methods in Applied Mechanics and Engineering","type":"journal_article","language":[{"iso":"eng"}],"_id":"62783","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","year":"2015","intvolume":"       293","page":"232-265","citation":{"chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “An Energy-Barrier-Based Computational Micro-Sphere Model for Phase-Transformations Interacting with Plasticity.” <i>Computer Methods in Applied Mechanics and Engineering</i> 293 (2015): 232–65. <a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">https://doi.org/10.1016/j.cma.2015.04.008</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity,” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 293, pp. 232–265, 2015, doi: <a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">10.1016/j.cma.2015.04.008</a>.","ama":"Ostwald R, Bartel T, Menzel A. An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity. <i>Computer Methods in Applied Mechanics and Engineering</i>. 2015;293:232-265. doi:<a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">10.1016/j.cma.2015.04.008</a>","mla":"Ostwald, Richard, et al. “An Energy-Barrier-Based Computational Micro-Sphere Model for Phase-Transformations Interacting with Plasticity.” <i>Computer Methods in Applied Mechanics and Engineering</i>, vol. 293, Elsevier BV, 2015, pp. 232–65, doi:<a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">10.1016/j.cma.2015.04.008</a>.","short":"R. Ostwald, T. Bartel, A. Menzel, Computer Methods in Applied Mechanics and Engineering 293 (2015) 232–265.","bibtex":"@article{Ostwald_Bartel_Menzel_2015, title={An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity}, volume={293}, DOI={<a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">10.1016/j.cma.2015.04.008</a>}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2015}, pages={232–265} }","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2015). An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity. <i>Computer Methods in Applied Mechanics and Engineering</i>, <i>293</i>, 232–265. <a href=\"https://doi.org/10.1016/j.cma.2015.04.008\">https://doi.org/10.1016/j.cma.2015.04.008</a>"},"publication_identifier":{"issn":["0045-7825"]},"quality_controlled":"1","publication_status":"published","title":"An energy-barrier-based computational micro-sphere model for phase-transformations interacting with plasticity","doi":"10.1016/j.cma.2015.04.008","publisher":"Elsevier BV","date_updated":"2025-12-03T13:11:24Z","volume":293,"date_created":"2025-12-03T13:10:35Z","author":[{"full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444","first_name":"Richard"},{"full_name":"Bartel, Thorsten","last_name":"Bartel","first_name":"Thorsten"},{"last_name":"Menzel","full_name":"Menzel, Andreas","first_name":"Andreas"}]},{"type":"journal_article","status":"public","_id":"62785","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"publication_status":"published","publication_identifier":{"issn":["0029-5981","1097-0207"]},"citation":{"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>","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>.","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>","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>.","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>."},"intvolume":"        97","page":"851-877","date_updated":"2025-12-03T13:14:32Z","author":[{"first_name":"Richard","last_name":"Ostwald","orcid":"0000-0003-2147-8444","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,"doi":"10.1002/nme.4601","publication":"International Journal for Numerical Methods in Engineering","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"}],"language":[{"iso":"eng"}],"quality_controlled":"1","issue":"12","year":"2014","publisher":"Wiley","date_created":"2025-12-03T13:13:55Z","title":"A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation of martensitic phase‐transformations"},{"_id":"62786","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","type":"journal_article","status":"public","date_updated":"2025-12-03T13:15:39Z","volume":214,"author":[{"full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald","first_name":"Richard"},{"first_name":"Marcel","full_name":"Tiffe, Marcel","last_name":"Tiffe"},{"full_name":"Bartel, Thorsten","last_name":"Bartel","first_name":"Thorsten"},{"first_name":"Andreas","last_name":"Zabel","full_name":"Zabel, Andreas"},{"last_name":"Menzel","full_name":"Menzel, Andreas","first_name":"Andreas"},{"first_name":"Dirk","full_name":"Biermann, Dirk","last_name":"Biermann"}],"doi":"10.1016/j.jmatprotec.2014.02.022","publication_identifier":{"issn":["0924-0136"]},"publication_status":"published","page":"1516-1523","intvolume":"       214","citation":{"apa":"Ostwald, R., Tiffe, M., Bartel, T., Zabel, A., Menzel, A., &#38; Biermann, D. (2014). Towards the multi-scale simulation of martensitic phase-transformations: An efficient post-processing approach applied to turning processes. <i>Journal of Materials Processing Technology</i>, <i>214</i>(8), 1516–1523. <a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">https://doi.org/10.1016/j.jmatprotec.2014.02.022</a>","bibtex":"@article{Ostwald_Tiffe_Bartel_Zabel_Menzel_Biermann_2014, title={Towards the multi-scale simulation of martensitic phase-transformations: An efficient post-processing approach applied to turning processes}, volume={214}, DOI={<a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">10.1016/j.jmatprotec.2014.02.022</a>}, number={8}, journal={Journal of Materials Processing Technology}, publisher={Elsevier BV}, author={Ostwald, Richard and Tiffe, Marcel and Bartel, Thorsten and Zabel, Andreas and Menzel, Andreas and Biermann, Dirk}, year={2014}, pages={1516–1523} }","mla":"Ostwald, Richard, et al. “Towards the Multi-Scale Simulation of Martensitic Phase-Transformations: An Efficient Post-Processing Approach Applied to Turning Processes.” <i>Journal of Materials Processing Technology</i>, vol. 214, no. 8, Elsevier BV, 2014, pp. 1516–23, doi:<a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">10.1016/j.jmatprotec.2014.02.022</a>.","short":"R. Ostwald, M. Tiffe, T. Bartel, A. Zabel, A. Menzel, D. Biermann, Journal of Materials Processing Technology 214 (2014) 1516–1523.","chicago":"Ostwald, Richard, Marcel Tiffe, Thorsten Bartel, Andreas Zabel, Andreas Menzel, and Dirk Biermann. “Towards the Multi-Scale Simulation of Martensitic Phase-Transformations: An Efficient Post-Processing Approach Applied to Turning Processes.” <i>Journal of Materials Processing Technology</i> 214, no. 8 (2014): 1516–23. <a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">https://doi.org/10.1016/j.jmatprotec.2014.02.022</a>.","ieee":"R. Ostwald, M. Tiffe, T. Bartel, A. Zabel, A. Menzel, and D. Biermann, “Towards the multi-scale simulation of martensitic phase-transformations: An efficient post-processing approach applied to turning processes,” <i>Journal of Materials Processing Technology</i>, vol. 214, no. 8, pp. 1516–1523, 2014, doi: <a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">10.1016/j.jmatprotec.2014.02.022</a>.","ama":"Ostwald R, Tiffe M, Bartel T, Zabel A, Menzel A, Biermann D. Towards the multi-scale simulation of martensitic phase-transformations: An efficient post-processing approach applied to turning processes. <i>Journal of Materials Processing Technology</i>. 2014;214(8):1516-1523. doi:<a href=\"https://doi.org/10.1016/j.jmatprotec.2014.02.022\">10.1016/j.jmatprotec.2014.02.022</a>"},"language":[{"iso":"eng"}],"publication":"Journal of Materials Processing Technology","publisher":"Elsevier BV","date_created":"2025-12-03T13:15:00Z","title":"Towards the multi-scale simulation of martensitic phase-transformations: An efficient post-processing approach applied to turning processes","quality_controlled":"1","issue":"8","year":"2014"},{"citation":{"ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials,” <i>PAMM</i>, vol. 12, no. 1, pp. 277–278, 2012, doi: <a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Simulation of Phase‐transformations Based on Numerical Minimization of Intersecting Gibbs Energy Potentials.” <i>PAMM</i> 12, no. 1 (2012): 277–78. <a href=\"https://doi.org/10.1002/pamm.201210129\">https://doi.org/10.1002/pamm.201210129</a>.","ama":"Ostwald R, Bartel T, Menzel A. Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials. <i>PAMM</i>. 2012;12(1):277-278. doi:<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2012). Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials. <i>PAMM</i>, <i>12</i>(1), 277–278. <a href=\"https://doi.org/10.1002/pamm.201210129\">https://doi.org/10.1002/pamm.201210129</a>","short":"R. Ostwald, T. Bartel, A. Menzel, PAMM 12 (2012) 277–278.","bibtex":"@article{Ostwald_Bartel_Menzel_2012, title={Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials}, volume={12}, DOI={<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2012}, pages={277–278} }","mla":"Ostwald, Richard, et al. “Simulation of Phase‐transformations Based on Numerical Minimization of Intersecting Gibbs Energy Potentials.” <i>PAMM</i>, vol. 12, no. 1, Wiley, 2012, pp. 277–78, doi:<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>."},"intvolume":"        12","page":"277-278","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"doi":"10.1002/pamm.201210129","date_updated":"2025-12-03T13:18:42Z","author":[{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","orcid":"0000-0003-2147-8444","last_name":"Ostwald"},{"first_name":"Thorsten","last_name":"Bartel","full_name":"Bartel, Thorsten"},{"first_name":"Andreas","last_name":"Menzel","full_name":"Menzel, Andreas"}],"volume":12,"status":"public","type":"journal_article","_id":"62788","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"year":"2012","quality_controlled":"1","issue":"1","title":"Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials","publisher":"Wiley","date_created":"2025-12-03T13:17:53Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We present a novel approach for the simulation of solid to solid phase‐transformations in polycrystalline materials. To facilitate the utilization of a non‐affine micro‐sphere formulation with volumetric‐deviatoric split, we introduce Helmholtz free energy functions depending on volumetric and deviatoric strain measures for the underlying scalar‐valued phase‐transformation model. As an extension of affine micro‐sphere models [5], the non‐affine micro‐sphere formulation with volumetric‐deviatoric split allows to capture different Young's moduli and Poisson's ratios on the macro‐scale [1]. As a consequence, the temperature‐dependent free energy assigned to each individual phase takes the form of an elliptic paraboloid in volumetric‐deviatoric strain space, where the energy landscape of the overall material is obtained from the contributions of the individual constituents. For the evolution of volume fractions, we use an approach based on statistical physics–taking into account actual Gibbs energy barriers and transformation probabilities [2]. The computation of individual energy barriers between the phases considered is enabled by numerical minimization of parametric intersection curves of elliptic Gibbs energy paraboloids. (© 2012 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</jats:p>","lang":"eng"}],"publication":"PAMM","language":[{"iso":"eng"}]},{"citation":{"apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2012). Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel. <i>Computational Materials Science</i>, <i>64</i>, 12–16. <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">https://doi.org/10.1016/j.commatsci.2012.05.015</a>","bibtex":"@article{Ostwald_Bartel_Menzel_2012, title={Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel}, volume={64}, DOI={<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>}, journal={Computational Materials Science}, publisher={Elsevier BV}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2012}, pages={12–16} }","short":"R. Ostwald, T. Bartel, A. Menzel, Computational Materials Science 64 (2012) 12–16.","mla":"Ostwald, Richard, et al. “Phase-Transformations Interacting with Plasticity – A Micro-Sphere Model Applied to TRIP Steel.” <i>Computational Materials Science</i>, vol. 64, Elsevier BV, 2012, pp. 12–16, doi:<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>.","ama":"Ostwald R, Bartel T, Menzel A. Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel. <i>Computational Materials Science</i>. 2012;64:12-16. doi:<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Phase-Transformations Interacting with Plasticity – A Micro-Sphere Model Applied to TRIP Steel.” <i>Computational Materials Science</i> 64 (2012): 12–16. <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">https://doi.org/10.1016/j.commatsci.2012.05.015</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel,” <i>Computational Materials Science</i>, vol. 64, pp. 12–16, 2012, doi: <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>."},"page":"12-16","intvolume":"        64","year":"2012","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0927-0256"]},"doi":"10.1016/j.commatsci.2012.05.015","title":"Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel","author":[{"first_name":"Richard","full_name":"Ostwald, Richard","id":"106876","last_name":"Ostwald","orcid":"0000-0003-2147-8444"},{"first_name":"Thorsten","full_name":"Bartel, Thorsten","last_name":"Bartel"},{"first_name":"Andreas","full_name":"Menzel, Andreas","last_name":"Menzel"}],"date_created":"2025-12-03T13:16:44Z","volume":64,"publisher":"Elsevier BV","date_updated":"2025-12-03T13:17:26Z","status":"public","type":"journal_article","publication":"Computational Materials Science","language":[{"iso":"eng"}],"user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62787"},{"type":"journal_article","status":"public","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"_id":"62790","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"citation":{"mla":"Ostwald, Richard, et al. “Interaction of Phase‐transformations and Plasticity – a Multi‐phase Micro‐sphere Approach.” <i>PAMM</i>, vol. 11, no. 1, Wiley, 2011, pp. 417–18, doi:<a href=\"https://doi.org/10.1002/pamm.201110200\">10.1002/pamm.201110200</a>.","short":"R. Ostwald, T. Bartel, A. Menzel, PAMM 11 (2011) 417–418.","bibtex":"@article{Ostwald_Bartel_Menzel_2011, title={Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere approach}, volume={11}, DOI={<a href=\"https://doi.org/10.1002/pamm.201110200\">10.1002/pamm.201110200</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2011}, pages={417–418} }","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2011). Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere approach. <i>PAMM</i>, <i>11</i>(1), 417–418. <a href=\"https://doi.org/10.1002/pamm.201110200\">https://doi.org/10.1002/pamm.201110200</a>","ama":"Ostwald R, Bartel T, Menzel A. Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere approach. <i>PAMM</i>. 2011;11(1):417-418. doi:<a href=\"https://doi.org/10.1002/pamm.201110200\">10.1002/pamm.201110200</a>","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere approach,” <i>PAMM</i>, vol. 11, no. 1, pp. 417–418, 2011, doi: <a href=\"https://doi.org/10.1002/pamm.201110200\">10.1002/pamm.201110200</a>.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Interaction of Phase‐transformations and Plasticity – a Multi‐phase Micro‐sphere Approach.” <i>PAMM</i> 11, no. 1 (2011): 417–18. <a href=\"https://doi.org/10.1002/pamm.201110200\">https://doi.org/10.1002/pamm.201110200</a>."},"intvolume":"        11","page":"417-418","author":[{"orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","full_name":"Ostwald, Richard","first_name":"Richard"},{"first_name":"Thorsten","last_name":"Bartel","full_name":"Bartel, Thorsten"},{"first_name":"Andreas","last_name":"Menzel","full_name":"Menzel, Andreas"}],"volume":11,"date_updated":"2025-12-03T13:20:59Z","doi":"10.1002/pamm.201110200","publication":"PAMM","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We present an efficient model for the simulation of solid to solid phase‐transformations in polycrystalline materials. As a basis, we implement a scalar‐valued Gibbs‐energy‐barrier‐based phase‐transformation model making use of statistical physics. In this work, we particularly adopt the model for the simulation of phase‐transformations between an austenitic parent phase and a martensitic tension and compression phase. The incorporation of plasticity phenomena is established by enhancing the Helmholtz free energy functions of the material phases considered, where the plastic driving forces acting in each phase are derived from the overall free energy potential. The coupled model is embedded into a micro‐sphere formulation in order to simulate three‐dimensional boundary value problems—a technique well‐established in the context of computational inelasticity at small strains. It is shown that the model is capable of reflecting experimentally observed behaviour. (© 2011 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"issue":"1","quality_controlled":"1","year":"2011","date_created":"2025-12-03T13:20:18Z","publisher":"Wiley","title":"Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere approach"},{"status":"public","publication":"Procedia Engineering","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62789","intvolume":"        19","page":"22-27","citation":{"chicago":"Biermann, D., A. Menzel, T. Bartel, F. Höhne, R. Holtermann, Richard Ostwald, B. Sieben, M. Tiffe, and A. Zabel. “Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials.” <i>Procedia Engineering</i> 19 (2011): 22–27. <a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">https://doi.org/10.1016/j.proeng.2011.11.074</a>.","ieee":"D. Biermann <i>et al.</i>, “Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials,” <i>Procedia Engineering</i>, vol. 19, pp. 22–27, 2011, doi: <a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">10.1016/j.proeng.2011.11.074</a>.","ama":"Biermann D, Menzel A, Bartel T, et al. Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials. <i>Procedia Engineering</i>. 2011;19:22-27. doi:<a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">10.1016/j.proeng.2011.11.074</a>","apa":"Biermann, D., Menzel, A., Bartel, T., Höhne, F., Holtermann, R., Ostwald, R., Sieben, B., Tiffe, M., &#38; Zabel, A. (2011). Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials. <i>Procedia Engineering</i>, <i>19</i>, 22–27. <a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">https://doi.org/10.1016/j.proeng.2011.11.074</a>","bibtex":"@article{Biermann_Menzel_Bartel_Höhne_Holtermann_Ostwald_Sieben_Tiffe_Zabel_2011, title={Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials}, volume={19}, DOI={<a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">10.1016/j.proeng.2011.11.074</a>}, journal={Procedia Engineering}, publisher={Elsevier BV}, author={Biermann, D. and Menzel, A. and Bartel, T. and Höhne, F. and Holtermann, R. and Ostwald, Richard and Sieben, B. and Tiffe, M. and Zabel, A.}, year={2011}, pages={22–27} }","mla":"Biermann, D., et al. “Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials.” <i>Procedia Engineering</i>, vol. 19, Elsevier BV, 2011, pp. 22–27, doi:<a href=\"https://doi.org/10.1016/j.proeng.2011.11.074\">10.1016/j.proeng.2011.11.074</a>.","short":"D. Biermann, A. Menzel, T. Bartel, F. Höhne, R. Holtermann, R. Ostwald, B. Sieben, M. Tiffe, A. Zabel, Procedia Engineering 19 (2011) 22–27."},"year":"2011","publication_identifier":{"issn":["1877-7058"]},"quality_controlled":"1","publication_status":"published","doi":"10.1016/j.proeng.2011.11.074","title":"Experimental and Computational Investigation of Machining Processes for Functionally Graded Materials","volume":19,"date_created":"2025-12-03T13:19:13Z","author":[{"first_name":"D.","full_name":"Biermann, D.","last_name":"Biermann"},{"first_name":"A.","full_name":"Menzel, A.","last_name":"Menzel"},{"full_name":"Bartel, T.","last_name":"Bartel","first_name":"T."},{"last_name":"Höhne","full_name":"Höhne, F.","first_name":"F."},{"first_name":"R.","last_name":"Holtermann","full_name":"Holtermann, R."},{"first_name":"Richard","id":"106876","full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald"},{"first_name":"B.","full_name":"Sieben, B.","last_name":"Sieben"},{"first_name":"M.","last_name":"Tiffe","full_name":"Tiffe, M."},{"first_name":"A.","full_name":"Zabel, A.","last_name":"Zabel"}],"date_updated":"2025-12-03T13:19:57Z","publisher":"Elsevier BV"},{"publication":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We present an efficient model for the simulation of polycrystalline materials undergoing solid to solid phase transformations. As a basis, we use a one‐dimensional, thermodynamically consistent phase‐transformation model. This model is embedded into a micro‐sphere formulation in order to simulate three‐dimensional boundary value problems. To solve the underlying evolution equations, we use a newly developed explicit integration scheme which could be proved to be unconditionally A‐stable. Besides the investigation of homogeneous deformation states, representative finite element examples are discussed. It is shown that the model nicely reflects the overall behaviour.</jats:p>"}],"language":[{"iso":"eng"}],"quality_controlled":"1","issue":"7-8","year":"2010","publisher":"Wiley","date_created":"2025-12-03T13:21:33Z","title":"A computational micro‐sphere model applied to the simulation of phase‐transformations","type":"journal_article","status":"public","_id":"62791","user_id":"85414","department":[{"_id":"952"},{"_id":"321"}],"publication_status":"published","publication_identifier":{"issn":["0044-2267","1521-4001"]},"citation":{"bibtex":"@article{Ostwald_Bartel_Menzel_2010, title={A computational micro‐sphere model applied to the simulation of phase‐transformations}, volume={90}, DOI={<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>}, number={7–8}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Ostwald, Richard and Bartel, T. and Menzel, A.}, year={2010}, pages={605–622} }","mla":"Ostwald, Richard, et al. “A Computational Micro‐sphere Model Applied to the Simulation of Phase‐transformations.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, vol. 90, no. 7–8, Wiley, 2010, pp. 605–22, doi:<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>.","short":"R. Ostwald, T. Bartel, A. Menzel, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 90 (2010) 605–622.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2010). A computational micro‐sphere model applied to the simulation of phase‐transformations. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>90</i>(7–8), 605–622. <a href=\"https://doi.org/10.1002/zamm.200900390\">https://doi.org/10.1002/zamm.200900390</a>","ama":"Ostwald R, Bartel T, Menzel A. A computational micro‐sphere model applied to the simulation of phase‐transformations. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2010;90(7-8):605-622. doi:<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>","chicago":"Ostwald, Richard, T. Bartel, and A. Menzel. “A Computational Micro‐sphere Model Applied to the Simulation of Phase‐transformations.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 90, no. 7–8 (2010): 605–22. <a href=\"https://doi.org/10.1002/zamm.200900390\">https://doi.org/10.1002/zamm.200900390</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A computational micro‐sphere model applied to the simulation of phase‐transformations,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 90, no. 7–8, pp. 605–622, 2010, doi: <a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>."},"page":"605-622","intvolume":"        90","date_updated":"2025-12-03T13:22:16Z","author":[{"last_name":"Ostwald","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard","id":"106876","first_name":"Richard"},{"last_name":"Bartel","full_name":"Bartel, T.","first_name":"T."},{"first_name":"A.","last_name":"Menzel","full_name":"Menzel, A."}],"volume":90,"doi":"10.1002/zamm.200900390"},{"_id":"62792","department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","language":[{"iso":"eng"}],"publication":"PAMM","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We present an efficient model for the simulation of phase‐transformations in polycrystalline materials. As a basis, we use a thermodynamically consistent, one‐dimensional phase‐transformation model, which is embedded into a micro‐sphere formulation in order to be able to simulate three‐dimensional boundary value problems. The underlying evolution equations are solved efficiently using a newly developed explicit integration scheme that has been proved to be unconditionally A‐stable. A numerical example by means of a deformation in simple shear is additionally provided in this contribution. (© 2010 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</jats:p>","lang":"eng"}],"status":"public","publisher":"Wiley","date_updated":"2025-12-03T13:23:28Z","volume":10,"date_created":"2025-12-03T13:22:46Z","author":[{"last_name":"Ostwald","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard","id":"106876","first_name":"Richard"},{"first_name":"Thorsten","last_name":"Bartel","full_name":"Bartel, Thorsten"},{"first_name":"Andreas","last_name":"Menzel","full_name":"Menzel, Andreas"}],"title":"A micro‐sphere approach applied to the modelling of phase‐transformations","doi":"10.1002/pamm.201010150","publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","publication_status":"published","issue":"1","year":"2010","intvolume":"        10","page":"315-316","citation":{"ama":"Ostwald R, Bartel T, Menzel A. A micro‐sphere approach applied to the modelling of phase‐transformations. <i>PAMM</i>. 2010;10(1):315-316. doi:<a href=\"https://doi.org/10.1002/pamm.201010150\">10.1002/pamm.201010150</a>","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “A Micro‐sphere Approach Applied to the Modelling of Phase‐transformations.” <i>PAMM</i> 10, no. 1 (2010): 315–16. <a href=\"https://doi.org/10.1002/pamm.201010150\">https://doi.org/10.1002/pamm.201010150</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A micro‐sphere approach applied to the modelling of phase‐transformations,” <i>PAMM</i>, vol. 10, no. 1, pp. 315–316, 2010, doi: <a href=\"https://doi.org/10.1002/pamm.201010150\">10.1002/pamm.201010150</a>.","short":"R. Ostwald, T. Bartel, A. Menzel, PAMM 10 (2010) 315–316.","bibtex":"@article{Ostwald_Bartel_Menzel_2010, title={A micro‐sphere approach applied to the modelling of phase‐transformations}, volume={10}, DOI={<a href=\"https://doi.org/10.1002/pamm.201010150\">10.1002/pamm.201010150</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2010}, pages={315–316} }","mla":"Ostwald, Richard, et al. “A Micro‐sphere Approach Applied to the Modelling of Phase‐transformations.” <i>PAMM</i>, vol. 10, no. 1, Wiley, 2010, pp. 315–16, doi:<a href=\"https://doi.org/10.1002/pamm.201010150\">10.1002/pamm.201010150</a>.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2010). A micro‐sphere approach applied to the modelling of phase‐transformations. <i>PAMM</i>, <i>10</i>(1), 315–316. <a href=\"https://doi.org/10.1002/pamm.201010150\">https://doi.org/10.1002/pamm.201010150</a>"}},{"department":[{"_id":"952"},{"_id":"321"}],"user_id":"85414","_id":"62793","type":"journal_article","status":"public","volume":2,"author":[{"first_name":"J.","last_name":"Unger","full_name":"Unger, J."},{"first_name":"Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","full_name":"Ostwald, Richard"},{"last_name":"Svendsen","full_name":"Svendsen, B.","first_name":"B."}],"date_updated":"2025-12-03T13:24:51Z","doi":"10.1007/s12289-009-0486-9","publication_identifier":{"issn":["1960-6206","1960-6214"]},"publication_status":"published","page":"907-910","intvolume":"         2","citation":{"bibtex":"@article{Unger_Ostwald_Svendsen_2009, title={Thermodynamic multifield modeling of electromagnetic metal forming}, volume={2}, DOI={<a href=\"https://doi.org/10.1007/s12289-009-0486-9\">10.1007/s12289-009-0486-9</a>}, number={S1}, journal={International Journal of Material Forming}, publisher={Springer Science and Business Media LLC}, author={Unger, J. and Ostwald, Richard and Svendsen, B.}, year={2009}, pages={907–910} }","mla":"Unger, J., et al. “Thermodynamic Multifield Modeling of Electromagnetic Metal Forming.” <i>International Journal of Material Forming</i>, vol. 2, no. S1, Springer Science and Business Media LLC, 2009, pp. 907–10, doi:<a href=\"https://doi.org/10.1007/s12289-009-0486-9\">10.1007/s12289-009-0486-9</a>.","short":"J. Unger, R. Ostwald, B. Svendsen, International Journal of Material Forming 2 (2009) 907–910.","apa":"Unger, J., Ostwald, R., &#38; Svendsen, B. (2009). Thermodynamic multifield modeling of electromagnetic metal forming. <i>International Journal of Material Forming</i>, <i>2</i>(S1), 907–910. <a href=\"https://doi.org/10.1007/s12289-009-0486-9\">https://doi.org/10.1007/s12289-009-0486-9</a>","ieee":"J. Unger, R. Ostwald, and B. Svendsen, “Thermodynamic multifield modeling of electromagnetic metal forming,” <i>International Journal of Material Forming</i>, vol. 2, no. S1, pp. 907–910, 2009, doi: <a href=\"https://doi.org/10.1007/s12289-009-0486-9\">10.1007/s12289-009-0486-9</a>.","chicago":"Unger, J., Richard Ostwald, and B. Svendsen. “Thermodynamic Multifield Modeling of Electromagnetic Metal Forming.” <i>International Journal of Material Forming</i> 2, no. S1 (2009): 907–10. <a href=\"https://doi.org/10.1007/s12289-009-0486-9\">https://doi.org/10.1007/s12289-009-0486-9</a>.","ama":"Unger J, Ostwald R, Svendsen B. Thermodynamic multifield modeling of electromagnetic metal forming. <i>International Journal of Material Forming</i>. 2009;2(S1):907-910. doi:<a href=\"https://doi.org/10.1007/s12289-009-0486-9\">10.1007/s12289-009-0486-9</a>"},"language":[{"iso":"eng"}],"publication":"International Journal of Material Forming","date_created":"2025-12-03T13:24:13Z","publisher":"Springer Science and Business Media LLC","title":"Thermodynamic multifield modeling of electromagnetic metal forming","issue":"S1","quality_controlled":"1","year":"2009"}]