---
_id: '45420'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: P.
  full_name: Steinmann, P.
  last_name: Steinmann
citation:
  ama: Mahnken R, Steinmann P. Parameter Identification of Constitutive Models for
    Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>.
    2011;80(S1):161-164. doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>
  apa: Mahnken, R., &#38; Steinmann, P. (2011). Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, <i>80</i>(S1), 161–164. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>
  bibtex: '@article{Mahnken_Steinmann_2011, title={Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting}, volume={80}, DOI={<a
    href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>},
    number={S1}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf
    and Steinmann, P.}, year={2011}, pages={161–164} }'
  chicago: 'Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i> 80, no. S1 (2011): 161–64. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>.'
  ieee: 'R. Mahnken and P. Steinmann, “Parameter Identification of Constitutive Models
    for Fluidsaturated Porous Media within an FE-Setting,” <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>,
    vol. 80, no. S1, pp. 161–164, 2011, doi: <a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.'
  mla: Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, vol. 80, no. S1, Wiley, 2011, pp. 161–64, doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.
  short: R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.
date_created: 2023-05-31T12:09:05Z
date_updated: 2023-05-31T12:09:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.20000801341
intvolume: '        80'
issue: S1
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 161-164
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Parameter Identification of Constitutive Models for Fluidsaturated Porous Media
  within an FE-Setting
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45421'
author:
- first_name: C.
  full_name: Döbert, C.
  last_name: Döbert
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Döbert C, Mahnken R, Stein E. Numerical Simulation of Interface Debonding during
    Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics and Mechanics /
    Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S2):467-468. doi:<a
    href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2011). Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2),
    467–468. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2011, title={Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Döbert, C.
    and Mahnken, Rolf and Stein, E.}, year={2011}, pages={467–468} }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no.
    S2 (2011): 467–68. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding
    during Fibre Pull-Out Tests,” <i>ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp.
    467–468, 2011, doi: <a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding during Fibre
    Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp.
    467–68, doi:<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.
  short: C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and
    Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.
date_created: 2023-05-31T12:10:26Z
date_updated: 2023-05-31T12:11:07Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014105
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 467-468
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45419'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Improvements for finite-element implementation of the Gurson Model.
    <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte
    Mathematik und Mechanik</i>. 2011;80(S2):481-482. doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>
  apa: Mahnken, R. (2011). Improvements for finite-element implementation of the Gurson
    Model. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2), 481–482. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>
  bibtex: '@article{Mahnken_2011, title={Improvements for finite-element implementation
    of the Gurson Model}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf},
    year={2011}, pages={481–482} }'
  chicago: 'Mahnken, Rolf. “Improvements for Finite-Element Implementation of the
    Gurson Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i> 80, no. S2 (2011): 481–82. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>.'
  ieee: 'R. Mahnken, “Improvements for finite-element implementation of the Gurson
    Model,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
    Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp. 481–482, 2011, doi:
    <a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.'
  mla: Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson
    Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp. 481–82,
    doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.
  short: R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.
date_created: 2023-05-31T12:07:05Z
date_updated: 2023-05-31T12:07:53Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014112
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 481-482
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Improvements for finite-element implementation of the Gurson Model
type: journal_article
user_id: '335'
volume: 80
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'
...