---
_id: '62776'
author:
- first_name: Till
  full_name: Clausmeyer, Till
  last_name: Clausmeyer
- first_name: Alexander
  full_name: Schowtjak, Alexander
  last_name: Schowtjak
- first_name: Shuhan
  full_name: Wang, Shuhan
  last_name: Wang
- first_name: Robin
  full_name: Gitschel, Robin
  last_name: Gitschel
- first_name: Oliver
  full_name: Hering, Oliver
  last_name: Hering
- first_name: Pavlo
  full_name: Pavliuchenko, Pavlo
  last_name: Pavliuchenko
- first_name: Johannes
  full_name: Lohmar, Johannes
  last_name: Lohmar
- 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
  full_name: Tekkaya, A. Erman
  last_name: Tekkaya
citation:
  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>
  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} }'
  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>.'
  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>.'
  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.
date_created: 2025-12-03T12:58:23Z
date_updated: 2025-12-03T12:59:23Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.promfg.2020.04.201
intvolume: '        47'
language:
- iso: eng
page: 649-655
publication: Procedia Manufacturing
publication_identifier:
  issn:
  - 2351-9789
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Prediction of Ductile Damage in the Process Chain of Caliber Rolling and Forward
  Rod Extrusion
type: journal_article
user_id: '85414'
volume: 47
year: '2020'
...
---
_id: '62775'
author:
- first_name: Alexander
  full_name: Schowtjak, Alexander
  last_name: Schowtjak
- first_name: Shuhan
  full_name: Wang, Shuhan
  last_name: Wang
- first_name: Oliver
  full_name: Hering, Oliver
  last_name: Hering
- first_name: Till
  full_name: Clausmeyer, Till
  last_name: Clausmeyer
- first_name: Johannes
  full_name: Lohmar, Johannes
  last_name: Lohmar
- first_name: Robin
  full_name: Schulte, Robin
  last_name: Schulte
- 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
  full_name: Tekkaya, A. Erman
  last_name: Tekkaya
citation:
  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>
  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>
  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} }'
  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>.'
  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.
date_created: 2025-12-03T12:56:37Z
date_updated: 2025-12-03T12:57:33Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s11740-019-00935-x
intvolume: '        14'
issue: '1'
language:
- iso: eng
page: 33-41
publication: Production Engineering
publication_identifier:
  issn:
  - 0944-6524
  - 1863-7353
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Prediction and analysis of damage evolution during caliber rolling and subsequent
  cold forward extrusion
type: journal_article
user_id: '85414'
volume: 14
year: '2019'
...
---
_id: '62779'
author:
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: Ellen
  full_name: Kuhl, Ellen
  last_name: Kuhl
- first_name: Andreas
  full_name: Menzel, Andreas
  last_name: Menzel
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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.
date_created: 2025-12-03T13:02:41Z
date_updated: 2025-12-03T13:03:51Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s00466-019-01684-5
intvolume: '        64'
issue: '3'
language:
- iso: eng
page: 847-877
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: On the implementation of finite deformation gradient-enhanced damage models
type: journal_article
user_id: '85414'
volume: 64
year: '2019'
...
---
_id: '62781'
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
citation:
  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>'
  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>
  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} }'
  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>.
  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>.'
  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.'
date_created: 2025-12-03T13:07:09Z
date_updated: 2025-12-03T13:08:15Z
department:
- _id: '952'
- _id: '321'
doi: 10.7712/100016.1945.10899
language:
- iso: eng
publication: Proceedings of the VII European Congress on Computational Methods in
  Applied Sciences and Engineering (ECCOMAS Congress 2016)
publication_status: published
publisher: Institute of Structural Analysis and Antiseismic Research School of Civil
  Engineering National Technical University of Athens (NTUA) Greece
quality_controlled: '1'
status: public
title: A THERMODYNAMICALLY CONSISTENT FINITE STRAIN MICRO-SPHERE FRAMEWORK FOR PHASE-TRANSFORMATION
type: conference
user_id: '85414'
year: '2017'
...
---
_id: '62782'
abstract:
- lang: eng
  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>
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
citation:
  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>
  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>
  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} }'
  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>.'
  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>.
  short: R. Ostwald, T. Bartel, A. Menzel, PAMM 16 (2016) 381–382.
date_created: 2025-12-03T13:09:18Z
date_updated: 2025-12-03T13:10:01Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.201610179
intvolume: '        16'
issue: '1'
language:
- iso: eng
page: 381-382
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Extending a finite strain hyperelastic micro‐sphere framework towards phase
  transformations
type: journal_article
user_id: '85414'
volume: 16
year: '2016'
...
---
_id: '62784'
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.
- lang: eng
  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.
author:
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
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>
  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>
  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} }'
  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>.
  ieee: R. Ostwald, <i>Modelling and simulation of phase transformations in elasto-plastic
    polycrystals</i>. 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>.
  short: R. Ostwald, Modelling and Simulation of Phase Transformations in Elasto-Plastic
    Polycrystals, LibreCat University, 2015.
date_created: 2025-12-03T13:11:56Z
date_updated: 2025-12-03T13:13:25Z
department:
- _id: '952'
- _id: '321'
doi: 10.17877/DE290R-155
language:
- iso: eng
publisher: LibreCat University
status: public
title: Modelling and simulation of phase transformations in elasto-plastic polycrystals
type: dissertation
user_id: '85414'
year: '2015'
...
---
_id: '62783'
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
citation:
  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>
  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>
  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} }'
  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>.'
  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.
date_created: 2025-12-03T13:10:35Z
date_updated: 2025-12-03T13:11:24Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.cma.2015.04.008
intvolume: '       293'
language:
- iso: eng
page: 232-265
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
  issn:
  - 0045-7825
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: An energy-barrier-based computational micro-sphere model for phase-transformations
  interacting with plasticity
type: journal_article
user_id: '85414'
volume: 293
year: '2015'
...
---
_id: '62785'
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>
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
citation:
  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>
  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>
  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} }'
  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>.'
  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>.
  short: R. Ostwald, T. Bartel, A. Menzel, International Journal for Numerical Methods
    in Engineering 97 (2014) 851–877.
date_created: 2025-12-03T13:13:55Z
date_updated: 2025-12-03T13:14:32Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/nme.4601
intvolume: '        97'
issue: '12'
language:
- iso: eng
page: 851-877
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A Gibbs‐energy‐barrier‐based computational micro‐sphere model for the simulation
  of martensitic phase‐transformations
type: journal_article
user_id: '85414'
volume: 97
year: '2014'
...
---
_id: '62786'
author:
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: Marcel
  full_name: Tiffe, Marcel
  last_name: Tiffe
- first_name: Thorsten
  full_name: Bartel, Thorsten
  last_name: Bartel
- first_name: Andreas
  full_name: Zabel, Andreas
  last_name: Zabel
- first_name: Andreas
  full_name: Menzel, Andreas
  last_name: Menzel
- first_name: Dirk
  full_name: Biermann, Dirk
  last_name: Biermann
citation:
  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>'
  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}
    }'
  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>.'
  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.
date_created: 2025-12-03T13:15:00Z
date_updated: 2025-12-03T13:15:39Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.jmatprotec.2014.02.022
intvolume: '       214'
issue: '8'
language:
- iso: eng
page: 1516-1523
publication: Journal of Materials Processing Technology
publication_identifier:
  issn:
  - 0924-0136
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'Towards the multi-scale simulation of martensitic phase-transformations: An
  efficient post-processing approach applied to turning processes'
type: journal_article
user_id: '85414'
volume: 214
year: '2014'
...
---
_id: '62788'
abstract:
- lang: eng
  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>
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
citation:
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: R. Ostwald, T. Bartel, A. Menzel, PAMM 12 (2012) 277–278.
date_created: 2025-12-03T13:17:53Z
date_updated: 2025-12-03T13:18:42Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.201210129
intvolume: '        12'
issue: '1'
language:
- iso: eng
page: 277-278
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Simulation of phase‐transformations based on numerical minimization of intersecting
  Gibbs energy potentials
type: journal_article
user_id: '85414'
volume: 12
year: '2012'
...
---
_id: '62787'
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
citation:
  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>
  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}
    }'
  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>.'
  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>.
  short: R. Ostwald, T. Bartel, A. Menzel, Computational Materials Science 64 (2012)
    12–16.
date_created: 2025-12-03T13:16:44Z
date_updated: 2025-12-03T13:17:26Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.commatsci.2012.05.015
intvolume: '        64'
language:
- iso: eng
page: 12-16
publication: Computational Materials Science
publication_identifier:
  issn:
  - 0927-0256
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Phase-transformations interacting with plasticity – A micro-sphere model applied
  to TRIP steel
type: journal_article
user_id: '85414'
volume: 64
year: '2012'
...
---
_id: '62790'
abstract:
- lang: eng
  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>
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
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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.
date_created: 2025-12-03T13:20:18Z
date_updated: 2025-12-03T13:20:59Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.201110200
intvolume: '        11'
issue: '1'
language:
- iso: eng
page: 417-418
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Interaction of phase‐transformations and plasticity – a multi‐phase micro‐sphere
  approach
type: journal_article
user_id: '85414'
volume: 11
year: '2011'
...
---
_id: '62789'
author:
- first_name: D.
  full_name: Biermann, D.
  last_name: Biermann
- first_name: A.
  full_name: Menzel, A.
  last_name: Menzel
- first_name: T.
  full_name: Bartel, T.
  last_name: Bartel
- first_name: F.
  full_name: Höhne, F.
  last_name: Höhne
- first_name: R.
  full_name: Holtermann, R.
  last_name: Holtermann
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: B.
  full_name: Sieben, B.
  last_name: Sieben
- first_name: M.
  full_name: Tiffe, M.
  last_name: Tiffe
- first_name: A.
  full_name: Zabel, A.
  last_name: Zabel
citation:
  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} }'
  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>.'
  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.
date_created: 2025-12-03T13:19:13Z
date_updated: 2025-12-03T13:19:57Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.proeng.2011.11.074
intvolume: '        19'
language:
- iso: eng
page: 22-27
publication: Procedia Engineering
publication_identifier:
  issn:
  - 1877-7058
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Experimental and Computational Investigation of Machining Processes for Functionally
  Graded Materials
type: journal_article
user_id: '85414'
volume: 19
year: '2011'
...
---
_id: '62791'
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>
author:
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: T.
  full_name: Bartel, T.
  last_name: Bartel
- first_name: A.
  full_name: Menzel, A.
  last_name: Menzel
citation:
  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>
  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>
  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} }'
  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>.'
  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.
date_created: 2025-12-03T13:21:33Z
date_updated: 2025-12-03T13:22:16Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/zamm.200900390
intvolume: '        90'
issue: 7-8
language:
- iso: eng
page: 605-622
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
  - 1521-4001
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A computational micro‐sphere model applied to the simulation of phase‐transformations
type: journal_article
user_id: '85414'
volume: 90
year: '2010'
...
---
_id: '62792'
abstract:
- lang: eng
  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>
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
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>
  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>
  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} }'
  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>.'
  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>.
  short: R. Ostwald, T. Bartel, A. Menzel, PAMM 10 (2010) 315–316.
date_created: 2025-12-03T13:22:46Z
date_updated: 2025-12-03T13:23:28Z
department:
- _id: '952'
- _id: '321'
doi: 10.1002/pamm.201010150
intvolume: '        10'
issue: '1'
language:
- iso: eng
page: 315-316
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A micro‐sphere approach applied to the modelling of phase‐transformations
type: journal_article
user_id: '85414'
volume: 10
year: '2010'
...
---
_id: '62793'
author:
- first_name: J.
  full_name: Unger, J.
  last_name: Unger
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: B.
  full_name: Svendsen, B.
  last_name: Svendsen
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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.
date_created: 2025-12-03T13:24:13Z
date_updated: 2025-12-03T13:24:51Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s12289-009-0486-9
intvolume: '         2'
issue: S1
language:
- iso: eng
page: 907-910
publication: International Journal of Material Forming
publication_identifier:
  issn:
  - 1960-6206
  - 1960-6214
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Thermodynamic multifield modeling of electromagnetic metal forming
type: journal_article
user_id: '85414'
volume: 2
year: '2009'
...