---
_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'
...