---
_id: '65037'
abstract:
- lang: eng
  text: "<jats:title>ABSTRACT</jats:title>\r\n                  <jats:p>Homogenization
    methods simulate heterogeneous materials like composites effectively, but high
    computational demands can offset their benefits. This work balances accuracy and
    efficiency by assessing model and discretization errors of the finite element
    method (FEM) through an adaptive numerical scheme. Two model hierarchies are introduced,
    combining mean‐field and full‐field methods, and nonuniform transformation field
    analysis (NTFA) with full‐field methods. Both hierarchies use a full‐field FEM
    solution of the representative volume element (RVE) as reference. The study highlights
    the benefits of using effective constitutive equations from mean‐field and full‐field
    methods as well as NTFA methods, with a goal‐oriented a posteriori error estimator
    based on duality techniques controlling mesh and model errors in a forwards‐in‐time
    manner.</jats:p>"
article_number: e70294
author:
- first_name: Arnold Tchomgue
  full_name: Simeu, Arnold Tchomgue
  last_name: Simeu
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
citation:
  ama: Simeu AT, Caylak I, Ostwald R. Mesh and Model Adaptivity for Multiscale Elastoplastic
    Models With Prandtl‐Reuss Type Material Laws. <i>International Journal for Numerical
    Methods in Engineering</i>. 2026;127(6). doi:<a href="https://doi.org/10.1002/nme.70294">10.1002/nme.70294</a>
  apa: Simeu, A. T., Caylak, I., &#38; Ostwald, R. (2026). Mesh and Model Adaptivity
    for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws. <i>International
    Journal for Numerical Methods in Engineering</i>, <i>127</i>(6), Article e70294.
    <a href="https://doi.org/10.1002/nme.70294">https://doi.org/10.1002/nme.70294</a>
  bibtex: '@article{Simeu_Caylak_Ostwald_2026, title={Mesh and Model Adaptivity for
    Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws}, volume={127},
    DOI={<a href="https://doi.org/10.1002/nme.70294">10.1002/nme.70294</a>}, number={6e70294},
    journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley},
    author={Simeu, Arnold Tchomgue and Caylak, Ismail and Ostwald, Richard}, year={2026}
    }'
  chicago: Simeu, Arnold Tchomgue, Ismail Caylak, and Richard Ostwald. “Mesh and Model
    Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material
    Laws.” <i>International Journal for Numerical Methods in Engineering</i> 127,
    no. 6 (2026). <a href="https://doi.org/10.1002/nme.70294">https://doi.org/10.1002/nme.70294</a>.
  ieee: 'A. T. Simeu, I. Caylak, and R. Ostwald, “Mesh and Model Adaptivity for Multiscale
    Elastoplastic Models With Prandtl‐Reuss Type Material Laws,” <i>International
    Journal for Numerical Methods in Engineering</i>, vol. 127, no. 6, Art. no. e70294,
    2026, doi: <a href="https://doi.org/10.1002/nme.70294">10.1002/nme.70294</a>.'
  mla: Simeu, Arnold Tchomgue, et al. “Mesh and Model Adaptivity for Multiscale Elastoplastic
    Models With Prandtl‐Reuss Type Material Laws.” <i>International Journal for Numerical
    Methods in Engineering</i>, vol. 127, no. 6, e70294, Wiley, 2026, doi:<a href="https://doi.org/10.1002/nme.70294">10.1002/nme.70294</a>.
  short: A.T. Simeu, I. Caylak, R. Ostwald, International Journal for Numerical Methods
    in Engineering 127 (2026).
date_created: 2026-03-18T05:28:29Z
date_updated: 2026-03-18T05:31:02Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1002/nme.70294
intvolume: '       127'
issue: '6'
language:
- iso: eng
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: Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss
  Type Material Laws
type: journal_article
user_id: '85414'
volume: 127
year: '2026'
...
---
_id: '13805'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
citation:
  ama: Mahnken R, Ju X. Goal‐oriented adaptivity based on a model hierarchy of mean‐field
    and full‐field homogenization methods in linear elasticity. <i>International Journal
    for Numerical Methods in Engineering</i>. 2019. doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>
  apa: Mahnken, R., &#38; Ju, X. (2019). Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity.
    <i>International Journal for Numerical Methods in Engineering</i>. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>
  bibtex: '@article{Mahnken_Ju_2019, title={Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity},
    DOI={<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>}, journal={International
    Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Ju, Xiaozhe},
    year={2019} }'
  chicago: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model
    Hierarchy of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.”
    <i>International Journal for Numerical Methods in Engineering</i>, 2019. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>.
  ieee: R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy
    of mean‐field and full‐field homogenization methods in linear elasticity,” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019.
  mla: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model Hierarchy
    of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019, doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>.
  short: R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering
    (2019).
date_created: 2019-10-14T12:05:50Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
doi: 10.1002/nme.6209
language:
- iso: eng
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
status: public
title: Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field
  homogenization methods in linear elasticity
type: journal_article
user_id: '78813'
year: '2019'
...
---
_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: '26256'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Geometry update driven by material forces for simulation of brittle
    crack growth in functionally graded materials. <i>International Journal for Numerical
    Methods in Engineering</i>. Published online 2008:1753-1788. doi:<a href="https://doi.org/10.1002/nme.2468">10.1002/nme.2468</a>
  apa: Mahnken, R. (2008). Geometry update driven by material forces for simulation
    of brittle crack growth in functionally graded materials. <i>International Journal
    for Numerical Methods in Engineering</i>, 1753–1788. <a href="https://doi.org/10.1002/nme.2468">https://doi.org/10.1002/nme.2468</a>
  bibtex: '@article{Mahnken_2008, title={Geometry update driven by material forces
    for simulation of brittle crack growth in functionally graded materials}, DOI={<a
    href="https://doi.org/10.1002/nme.2468">10.1002/nme.2468</a>}, journal={International
    Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf}, year={2008},
    pages={1753–1788} }'
  chicago: Mahnken, Rolf. “Geometry Update Driven by Material Forces for Simulation
    of Brittle Crack Growth in Functionally Graded Materials.” <i>International Journal
    for Numerical Methods in Engineering</i>, 2008, 1753–88. <a href="https://doi.org/10.1002/nme.2468">https://doi.org/10.1002/nme.2468</a>.
  ieee: 'R. Mahnken, “Geometry update driven by material forces for simulation of
    brittle crack growth in functionally graded materials,” <i>International Journal
    for Numerical Methods in Engineering</i>, pp. 1753–1788, 2008, doi: <a href="https://doi.org/10.1002/nme.2468">10.1002/nme.2468</a>.'
  mla: Mahnken, Rolf. “Geometry Update Driven by Material Forces for Simulation of
    Brittle Crack Growth in Functionally Graded Materials.” <i>International Journal
    for Numerical Methods in Engineering</i>, 2008, pp. 1753–88, doi:<a href="https://doi.org/10.1002/nme.2468">10.1002/nme.2468</a>.
  short: R. Mahnken, International Journal for Numerical Methods in Engineering (2008)
    1753–1788.
date_created: 2021-10-15T10:29:44Z
date_updated: 2023-01-25T14:29:21Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.2468
language:
- iso: eng
page: 1753-1788
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
quality_controlled: '1'
status: public
title: Geometry update driven by material forces for simulation of brittle crack growth
  in functionally graded materials
type: journal_article
user_id: '335'
year: '2008'
...
---
_id: '19114'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
citation:
  ama: Mahnken R, Caylak I. Stabilization of bi‐linear mixed finite elements for tetrahedra
    with enhanced interpolation using volume and area bubble functions. <i>International
    Journal for Numerical Methods in Engineering</i>. Published online 2007:377-413.
    doi:<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>
  apa: Mahnken, R., &#38; Caylak, I. (2007). Stabilization of bi‐linear mixed finite
    elements for tetrahedra with enhanced interpolation using volume and area bubble
    functions. <i>International Journal for Numerical Methods in Engineering</i>,
    377–413. <a href="https://doi.org/10.1002/nme.2264">https://doi.org/10.1002/nme.2264</a>
  bibtex: '@article{Mahnken_Caylak_2007, title={Stabilization of bi‐linear mixed finite
    elements for tetrahedra with enhanced interpolation using volume and area bubble
    functions}, DOI={<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>},
    journal={International Journal for Numerical Methods in Engineering}, author={Mahnken,
    Rolf and Caylak, Ismail}, year={2007}, pages={377–413} }'
  chicago: Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite
    Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble
    Functions.” <i>International Journal for Numerical Methods in Engineering</i>,
    2007, 377–413. <a href="https://doi.org/10.1002/nme.2264">https://doi.org/10.1002/nme.2264</a>.
  ieee: 'R. Mahnken and I. Caylak, “Stabilization of bi‐linear mixed finite elements
    for tetrahedra with enhanced interpolation using volume and area bubble functions,”
    <i>International Journal for Numerical Methods in Engineering</i>, pp. 377–413,
    2007, doi: <a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>.'
  mla: Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite
    Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble
    Functions.” <i>International Journal for Numerical Methods in Engineering</i>,
    2007, pp. 377–413, doi:<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>.
  short: R. Mahnken, I. Caylak, International Journal for Numerical Methods in Engineering
    (2007) 377–413.
date_created: 2020-09-08T10:19:51Z
date_updated: 2023-01-25T14:32:33Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.2264
language:
- iso: eng
page: 377-413
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
quality_controlled: '1'
status: public
title: Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced
  interpolation using volume and area bubble functions
type: journal_article
user_id: '335'
year: '2007'
...
---
_id: '28779'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Michael
  full_name: Schlimmer, Michael
  last_name: Schlimmer
citation:
  ama: Mahnken R, Schlimmer M. Simulation of strength difference in elasto-plasticity
    for adhesive materials. <i>International Journal for Numerical Methods in Engineering</i>.
    Published online 2005:1461-1477. doi:<a href="https://doi.org/10.1002/nme.1315">10.1002/nme.1315</a>
  apa: Mahnken, R., &#38; Schlimmer, M. (2005). Simulation of strength difference
    in elasto-plasticity for adhesive materials. <i>International Journal for Numerical
    Methods in Engineering</i>, 1461–1477. <a href="https://doi.org/10.1002/nme.1315">https://doi.org/10.1002/nme.1315</a>
  bibtex: '@article{Mahnken_Schlimmer_2005, title={Simulation of strength difference
    in elasto-plasticity for adhesive materials}, DOI={<a href="https://doi.org/10.1002/nme.1315">10.1002/nme.1315</a>},
    journal={International Journal for Numerical Methods in Engineering}, author={Mahnken,
    Rolf and Schlimmer, Michael}, year={2005}, pages={1461–1477} }'
  chicago: Mahnken, Rolf, and Michael Schlimmer. “Simulation of Strength Difference
    in Elasto-Plasticity for Adhesive Materials.” <i>International Journal for Numerical
    Methods in Engineering</i>, 2005, 1461–77. <a href="https://doi.org/10.1002/nme.1315">https://doi.org/10.1002/nme.1315</a>.
  ieee: 'R. Mahnken and M. Schlimmer, “Simulation of strength difference in elasto-plasticity
    for adhesive materials,” <i>International Journal for Numerical Methods in Engineering</i>,
    pp. 1461–1477, 2005, doi: <a href="https://doi.org/10.1002/nme.1315">10.1002/nme.1315</a>.'
  mla: Mahnken, Rolf, and Michael Schlimmer. “Simulation of Strength Difference in
    Elasto-Plasticity for Adhesive Materials.” <i>International Journal for Numerical
    Methods in Engineering</i>, 2005, pp. 1461–77, doi:<a href="https://doi.org/10.1002/nme.1315">10.1002/nme.1315</a>.
  short: R. Mahnken, M. Schlimmer, International Journal for Numerical Methods in
    Engineering (2005) 1461–1477.
date_created: 2021-12-14T11:05:53Z
date_updated: 2023-01-25T14:33:29Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1315
language:
- iso: eng
page: 1461-1477
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
quality_controlled: '1'
status: public
title: Simulation of strength difference in elasto-plasticity for adhesive materials
type: journal_article
user_id: '335'
year: '2005'
...
---
_id: '45416'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>. 2005;48(7):1015-1036. doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  apa: Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>, <i>48</i>(7), 1015–1036. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  bibtex: '@article{Mahnken_2005, title={An inverse finite-element algorithm for parameter
    identification of thermoelastic damage models}, volume={48}, DOI={<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf}, year={2005}, pages={1015–1036} }'
  chicago: 'Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i> 48, no. 7 (2005): 1015–36. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  ieee: 'R. Mahnken, “An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models,” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, pp. 1015–1036, 2005, doi: <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  mla: Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, Wiley, 2005, pp. 1015–36, doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.
  short: R. Mahnken, International Journal for Numerical Methods in Engineering 48
    (2005) 1015–1036.
date_created: 2023-05-31T12:02:23Z
date_updated: 2023-05-31T12:02:56Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4
intvolume: '        48'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1036
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: An inverse finite-element algorithm for parameter identification of thermoelastic
  damage models
type: journal_article
user_id: '335'
volume: 48
year: '2005'
...
---
_id: '45433'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
- first_name: D.
  full_name: Bischoff, D.
  last_name: Bischoff
citation:
  ama: Mahnken R, Stein E, Bischoff D. A stabilization procedure by line-search computation
    for first order approximation strategies in structural optimization. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;35(5):1015-1029. doi:<a
    href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>
  apa: Mahnken, R., Stein, E., &#38; Bischoff, D. (2005). A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization. <i>International Journal for Numerical Methods in Engineering</i>,
    <i>35</i>(5), 1015–1029. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>
  bibtex: '@article{Mahnken_Stein_Bischoff_2005, title={A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization}, volume={35}, DOI={<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>},
    number={5}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, E. and Bischoff, D.}, year={2005},
    pages={1015–1029} }'
  chicago: 'Mahnken, Rolf, E. Stein, and D. Bischoff. “A Stabilization Procedure by
    Line-Search Computation for First Order Approximation Strategies in Structural
    Optimization.” <i>International Journal for Numerical Methods in Engineering</i>
    35, no. 5 (2005): 1015–29. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>.'
  ieee: 'R. Mahnken, E. Stein, and D. Bischoff, “A stabilization procedure by line-search
    computation for first order approximation strategies in structural optimization,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no.
    5, pp. 1015–1029, 2005, doi: <a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.'
  mla: Mahnken, Rolf, et al. “A Stabilization Procedure by Line-Search Computation
    for First Order Approximation Strategies in Structural Optimization.” <i>International
    Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, Wiley, 2005,
    pp. 1015–29, doi:<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.
  short: R. Mahnken, E. Stein, D. Bischoff, International Journal for Numerical Methods
    in Engineering 35 (2005) 1015–1029.
date_created: 2023-05-31T12:29:05Z
date_updated: 2023-05-31T12:29:34Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620350505
intvolume: '        35'
issue: '5'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1029
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 stabilization procedure by line-search computation for first order approximation
  strategies in structural optimization
type: journal_article
user_id: '335'
volume: 35
year: '2005'
...
---
_id: '45435'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Erwin
  full_name: Stein, Erwin
  last_name: Stein
citation:
  ama: Mahnken R, Stein E. Adaptive time-step control in creep analysis. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;28(7):1619-1633. doi:<a
    href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>
  apa: Mahnken, R., &#38; Stein, E. (2005). Adaptive time-step control in creep analysis.
    <i>International Journal for Numerical Methods in Engineering</i>, <i>28</i>(7),
    1619–1633. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>
  bibtex: '@article{Mahnken_Stein_2005, title={Adaptive time-step control in creep
    analysis}, volume={28}, DOI={<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, Erwin}, year={2005}, pages={1619–1633}
    }'
  chicago: 'Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i> 28, no. 7 (2005):
    1619–33. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>.'
  ieee: 'R. Mahnken and E. Stein, “Adaptive time-step control in creep analysis,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, pp. 1619–1633, 2005, doi: <a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.'
  mla: Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, Wiley, 2005, pp. 1619–33, doi:<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.
  short: R. Mahnken, E. Stein, International Journal for Numerical Methods in Engineering
    28 (2005) 1619–1633.
date_created: 2023-05-31T12:30:12Z
date_updated: 2023-05-31T12:30:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620280711
intvolume: '        28'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1619-1633
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: Adaptive time-step control in creep analysis
type: journal_article
user_id: '335'
volume: 28
year: '2005'
...
---
_id: '45425'
author:
- first_name: Magnus
  full_name: Johansson, Magnus
  last_name: Johansson
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Kenneth
  full_name: Runesson, Kenneth
  last_name: Runesson
citation:
  ama: Johansson M, Mahnken R, Runesson K. Efficient integration technique for generalized
    viscoplasticity coupled to damage. <i>International Journal for Numerical Methods
    in Engineering</i>. 2002;44(11):1727-1747. doi:<a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>
  apa: Johansson, M., Mahnken, R., &#38; Runesson, K. (2002). Efficient integration
    technique for generalized viscoplasticity coupled to damage. <i>International
    Journal for Numerical Methods in Engineering</i>, <i>44</i>(11), 1727–1747. <a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>
  bibtex: '@article{Johansson_Mahnken_Runesson_2002, title={Efficient integration
    technique for generalized viscoplasticity coupled to damage}, volume={44}, DOI={<a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>},
    number={11}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Johansson, Magnus and Mahnken, Rolf and Runesson, Kenneth},
    year={2002}, pages={1727–1747} }'
  chicago: 'Johansson, Magnus, Rolf Mahnken, and Kenneth Runesson. “Efficient Integration
    Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International
    Journal for Numerical Methods in Engineering</i> 44, no. 11 (2002): 1727–47. <a
    href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.'
  ieee: 'M. Johansson, R. Mahnken, and K. Runesson, “Efficient integration technique
    for generalized viscoplasticity coupled to damage,” <i>International Journal for
    Numerical Methods in Engineering</i>, vol. 44, no. 11, pp. 1727–1747, 2002, doi:
    <a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.'
  mla: Johansson, Magnus, et al. “Efficient Integration Technique for Generalized
    Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 44, no. 11, Wiley, 2002, pp. 1727–47, doi:<a href="https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.
  short: M. Johansson, R. Mahnken, K. Runesson, International Journal for Numerical
    Methods in Engineering 44 (2002) 1727–1747.
date_created: 2023-05-31T12:17:46Z
date_updated: 2023-05-31T12:18:12Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p
intvolume: '        44'
issue: '11'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1727-1747
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: Efficient integration technique for generalized viscoplasticity coupled to
  damage
type: journal_article
user_id: '335'
volume: 44
year: '2002'
...