---
_id: '58492'
abstract:
- lang: eng
  text: A coupled finite plasticity ductile damage and failure model is proposed for
    the finite element simulation of clinch joining, which incorporates stress-state
    dependency and regularisation by gradient-enhancement of the damage variable.
    Ductile damage is determined based on a failure indicator governed by a failure
    surface in stress space. The latter is exemplary chosen as a combination of the
    Hosford–Coulomb and Cockcroft–Latham–Oh failure criteria for the high and low
    stress triaxiality range, respectively, to cover the wide stress range encountered
    in forming. Damage is coupled to elasto-plasticity to capture the damage-induced
    degradation of the stiffness and flow stress. This affects the material behaviour
    up to failure, thereby realistically altering the stress state. Consequently,
    especially for highly ductile materials, where substantial necking and localisation
    precede material fracture, the failure prediction is enhanced. The resulting stress
    softening is regularised by gradient-enhancement to obtain mesh-objective results.
    The analysis of a modified punch test experiment emphasises how the damage-induced
    softening effect can strongly alter the actual stress state towards failure. Moreover,
    the impact of successful regularisation is shown, and the applicability of the
    damage and failure model to clinch joining is proven.
article_number: '106026'
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. Modelling of stress-state-dependent ductile
    damage with gradient-enhancement exemplified for clinch joining. <i>Journal of
    the Mechanics and Physics of Solids</i>. 2025;196. doi:<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>
  apa: Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2025). Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining. <i>Journal
    of the Mechanics and Physics of Solids</i>, <i>196</i>, Article 106026. <a href="https://doi.org/10.1016/j.jmps.2025.106026">https://doi.org/10.1016/j.jmps.2025.106026</a>
  bibtex: '@article{Friedlein_Mergheim_Steinmann_2025, title={Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining}, volume={196},
    DOI={<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>},
    number={106026}, journal={Journal of the Mechanics and Physics of Solids}, publisher={Elsevier
    BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2025}
    }'
  chicago: Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Modelling of
    Stress-State-Dependent Ductile Damage with Gradient-Enhancement Exemplified for
    Clinch Joining.” <i>Journal of the Mechanics and Physics of Solids</i> 196 (2025).
    <a href="https://doi.org/10.1016/j.jmps.2025.106026">https://doi.org/10.1016/j.jmps.2025.106026</a>.
  ieee: 'J. Friedlein, J. Mergheim, and P. Steinmann, “Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining,” <i>Journal
    of the Mechanics and Physics of Solids</i>, vol. 196, Art. no. 106026, 2025, doi:
    <a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>.'
  mla: Friedlein, Johannes, et al. “Modelling of Stress-State-Dependent Ductile Damage
    with Gradient-Enhancement Exemplified for Clinch Joining.” <i>Journal of the Mechanics
    and Physics of Solids</i>, vol. 196, 106026, Elsevier BV, 2025, doi:<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>.
  short: J. Friedlein, J. Mergheim, P. Steinmann, Journal of the Mechanics and Physics
    of Solids 196 (2025).
date_created: 2025-01-31T17:04:12Z
date_updated: 2025-01-31T17:06:22Z
doi: 10.1016/j.jmps.2025.106026
intvolume: '       196'
keyword:
- Finite plasticity
- Ductile damage
- Gradient-enhancement
- Stress-state dependency
- Failure
language:
- iso: eng
project:
- _id: '130'
  grant_number: '418701707'
  name: 'TRR 285: TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen
    Prozessketten'
- _id: '131'
  name: 'TRR 285 - A: TRR 285 - Project Area A'
- _id: '139'
  name: 'TRR 285 – A05: TRR 285 - Subproject A05'
publication: Journal of the Mechanics and Physics of Solids
publication_identifier:
  issn:
  - 0022-5096
publication_status: published
publisher: Elsevier BV
status: public
title: Modelling of stress-state-dependent ductile damage with gradient-enhancement
  exemplified for clinch joining
type: journal_article
user_id: '84990'
volume: 196
year: '2025'
...