---
_id: '56097'
abstract:
- lang: eng
  text: We contrast different gradient-enhancements for plasticity-damage material
    models in the logarithmic strain space and compare them to reference models based
    on multiplicative plasticity. The models being compared include plasticity - gradient-damage,
    where the gradient-enhancement is applied on the local damage variable, and gradient-plasticity
    - damage with a gradient-enhanced plastic hardening variable. Thereby, gradient-plasticity
    proved to be able to simultaneously regularise plastic and ductile (plasticity-driven)
    damage localisation as confirmed by numerical localisation analyses. This appears
    to be especially advantageous for logarithmic strain space plasticity-damage,
    because of the observed plastic localisation even for the case of plasticity with
    hardening. Even though gradient-plasticity appears to be numerically more demanding,
    two numerical examples indicate a good robustness and mesh objectivity in the
    softening regime. Moreover, the internal length for plasticity is able to adjust
    the damage zone width, similarly to gradient-damage, however ensuring a priori
    that damage takes place exclusively inside the plastic zone.
article_number: '104946'
article_type: original
author:
- first_name: Johannes
  full_name: Friedlein, Johannes
  last_name: Friedlein
- first_name: Julia
  full_name: Mergheim, Julia
  last_name: Mergheim
- first_name: Paul
  full_name: Steinmann, Paul
  last_name: Steinmann
citation:
  ama: Friedlein J, Mergheim J, Steinmann P. Efficient gradient enhancements for plasticity
    with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics
    - A/Solids</i>. 2023;99. doi:<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>
  apa: Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2023). Efficient gradient
    enhancements for plasticity with ductile damage in the logarithmic strain space.
    <i>European Journal of Mechanics - A/Solids</i>, <i>99</i>, Article 104946. <a
    href="https://doi.org/10.1016/j.euromechsol.2023.104946">https://doi.org/10.1016/j.euromechsol.2023.104946</a>
  bibtex: '@article{Friedlein_Mergheim_Steinmann_2023, title={Efficient gradient enhancements
    for plasticity with ductile damage in the logarithmic strain space}, volume={99},
    DOI={<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>},
    number={104946}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier
    BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2023}
    }'
  chicago: Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Efficient Gradient
    Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.”
    <i>European Journal of Mechanics - A/Solids</i> 99 (2023). <a href="https://doi.org/10.1016/j.euromechsol.2023.104946">https://doi.org/10.1016/j.euromechsol.2023.104946</a>.
  ieee: 'J. Friedlein, J. Mergheim, and P. Steinmann, “Efficient gradient enhancements
    for plasticity with ductile damage in the logarithmic strain space,” <i>European
    Journal of Mechanics - A/Solids</i>, vol. 99, Art. no. 104946, 2023, doi: <a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>.'
  mla: Friedlein, Johannes, et al. “Efficient Gradient Enhancements for Plasticity
    with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics
    - A/Solids</i>, vol. 99, 104946, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>.
  short: J. Friedlein, J. Mergheim, P. Steinmann, European Journal of Mechanics -
    A/Solids 99 (2023).
date_created: 2024-09-10T15:23:49Z
date_updated: 2026-02-24T14:37:05Z
doi: 10.1016/j.euromechsol.2023.104946
intvolume: '        99'
keyword:
- Finite plasticity
- Logarithmic strain space
- Ductile damage
- Gradient-enhancement
- Gradient-plasticity
- Gradient-damage
- Loss of ellipticity
language:
- iso: eng
project:
- _id: '130'
  name: 'TRR 285: TRR 285'
- _id: '131'
  name: 'TRR 285 - A: TRR 285 - Project Area A'
- _id: '139'
  name: 'TRR 285 – A05: TRR 285 - Subproject A05'
- _id: '130'
  name: 'TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen
    Prozessketten'
publication: European Journal of Mechanics - A/Solids
publication_identifier:
  issn:
  - 0997-7538
publication_status: published
publisher: Elsevier BV
status: public
title: Efficient gradient enhancements for plasticity with ductile damage in the logarithmic
  strain space
type: journal_article
user_id: '84990'
volume: 99
year: '2023'
...
---
_id: '62771'
article_number: '104854'
author:
- first_name: Robin
  full_name: Schulte, Robin
  last_name: Schulte
- first_name: Cavid
  full_name: Karca, Cavid
  last_name: Karca
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: Andreas
  full_name: Menzel, Andreas
  last_name: Menzel
citation:
  ama: Schulte R, Karca C, Ostwald R, Menzel A. Machine learning-assisted parameter
    identification for constitutive models based on concatenated loading path sequences.
    <i>European Journal of Mechanics - A/Solids</i>. 2022;98. doi:<a href="https://doi.org/10.1016/j.euromechsol.2022.104854">10.1016/j.euromechsol.2022.104854</a>
  apa: Schulte, R., Karca, C., Ostwald, R., &#38; Menzel, A. (2022). Machine learning-assisted
    parameter identification for constitutive models based on concatenated loading
    path sequences. <i>European Journal of Mechanics - A/Solids</i>, <i>98</i>, Article
    104854. <a href="https://doi.org/10.1016/j.euromechsol.2022.104854">https://doi.org/10.1016/j.euromechsol.2022.104854</a>
  bibtex: '@article{Schulte_Karca_Ostwald_Menzel_2022, title={Machine learning-assisted
    parameter identification for constitutive models based on concatenated loading
    path sequences}, volume={98}, DOI={<a href="https://doi.org/10.1016/j.euromechsol.2022.104854">10.1016/j.euromechsol.2022.104854</a>},
    number={104854}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier
    BV}, author={Schulte, Robin and Karca, Cavid and Ostwald, Richard and Menzel,
    Andreas}, year={2022} }'
  chicago: Schulte, Robin, Cavid Karca, Richard Ostwald, and Andreas Menzel. “Machine
    Learning-Assisted Parameter Identification for Constitutive Models Based on Concatenated
    Loading Path Sequences.” <i>European Journal of Mechanics - A/Solids</i> 98 (2022).
    <a href="https://doi.org/10.1016/j.euromechsol.2022.104854">https://doi.org/10.1016/j.euromechsol.2022.104854</a>.
  ieee: 'R. Schulte, C. Karca, R. Ostwald, and A. Menzel, “Machine learning-assisted
    parameter identification for constitutive models based on concatenated loading
    path sequences,” <i>European Journal of Mechanics - A/Solids</i>, vol. 98, Art.
    no. 104854, 2022, doi: <a href="https://doi.org/10.1016/j.euromechsol.2022.104854">10.1016/j.euromechsol.2022.104854</a>.'
  mla: Schulte, Robin, et al. “Machine Learning-Assisted Parameter Identification
    for Constitutive Models Based on Concatenated Loading Path Sequences.” <i>European
    Journal of Mechanics - A/Solids</i>, vol. 98, 104854, Elsevier BV, 2022, doi:<a
    href="https://doi.org/10.1016/j.euromechsol.2022.104854">10.1016/j.euromechsol.2022.104854</a>.
  short: R. Schulte, C. Karca, R. Ostwald, A. Menzel, European Journal of Mechanics
    - A/Solids 98 (2022).
date_created: 2025-12-03T12:49:17Z
date_updated: 2025-12-03T12:50:06Z
department:
- _id: '952'
- _id: '321'
doi: 10.1016/j.euromechsol.2022.104854
intvolume: '        98'
language:
- iso: eng
publication: European Journal of Mechanics - A/Solids
publication_identifier:
  issn:
  - 0997-7538
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Machine learning-assisted parameter identification for constitutive models
  based on concatenated loading path sequences
type: journal_article
user_id: '85414'
volume: 98
year: '2022'
...
---
_id: '45424'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Ellen
  full_name: Kuhl, Ellen
  last_name: Kuhl
citation:
  ama: Mahnken R, Kuhl E. Parameter identification of gradient enhanced damage models
    with the finite element method. <i>European Journal of Mechanics - A/Solids</i>.
    2002;18(5):819-835. doi:<a href="https://doi.org/10.1016/s0997-7538(99)00127-8">10.1016/s0997-7538(99)00127-8</a>
  apa: Mahnken, R., &#38; Kuhl, E. (2002). Parameter identification of gradient enhanced
    damage models with the finite element method. <i>European Journal of Mechanics
    - A/Solids</i>, <i>18</i>(5), 819–835. <a href="https://doi.org/10.1016/s0997-7538(99)00127-8">https://doi.org/10.1016/s0997-7538(99)00127-8</a>
  bibtex: '@article{Mahnken_Kuhl_2002, title={Parameter identification of gradient
    enhanced damage models with the finite element method}, volume={18}, DOI={<a href="https://doi.org/10.1016/s0997-7538(99)00127-8">10.1016/s0997-7538(99)00127-8</a>},
    number={5}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier
    BV}, author={Mahnken, Rolf and Kuhl, Ellen}, year={2002}, pages={819–835} }'
  chicago: 'Mahnken, Rolf, and Ellen Kuhl. “Parameter Identification of Gradient Enhanced
    Damage Models with the Finite Element Method.” <i>European Journal of Mechanics
    - A/Solids</i> 18, no. 5 (2002): 819–35. <a href="https://doi.org/10.1016/s0997-7538(99)00127-8">https://doi.org/10.1016/s0997-7538(99)00127-8</a>.'
  ieee: 'R. Mahnken and E. Kuhl, “Parameter identification of gradient enhanced damage
    models with the finite element method,” <i>European Journal of Mechanics - A/Solids</i>,
    vol. 18, no. 5, pp. 819–835, 2002, doi: <a href="https://doi.org/10.1016/s0997-7538(99)00127-8">10.1016/s0997-7538(99)00127-8</a>.'
  mla: Mahnken, Rolf, and Ellen Kuhl. “Parameter Identification of Gradient Enhanced
    Damage Models with the Finite Element Method.” <i>European Journal of Mechanics
    - A/Solids</i>, vol. 18, no. 5, Elsevier BV, 2002, pp. 819–35, doi:<a href="https://doi.org/10.1016/s0997-7538(99)00127-8">10.1016/s0997-7538(99)00127-8</a>.
  short: R. Mahnken, E. Kuhl, European Journal of Mechanics - A/Solids 18 (2002) 819–835.
date_created: 2023-05-31T12:15:51Z
date_updated: 2023-05-31T12:17:11Z
department:
- _id: '9'
- _id: '154'
doi: 10.1016/s0997-7538(99)00127-8
intvolume: '        18'
issue: '5'
keyword:
- General Physics and Astronomy
- Mechanical Engineering
- Mechanics of Materials
- General Materials Science
language:
- iso: eng
page: 819-835
publication: European Journal of Mechanics - A/Solids
publication_identifier:
  issn:
  - 0997-7538
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Parameter identification of gradient enhanced damage models with the finite
  element method
type: journal_article
user_id: '335'
volume: 18
year: '2002'
...