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A finite element framework for thermo‐mechanically coupled gradient‐enhanced damage formulations

Sobisch, Lennart ; Kaiser, Tobias and Menzel, Andreas LU (2024) In PAMM - Proceedings in Applied Mathematics and Mechanics 24(3).
Abstract
The solution of coupled multi-field problems by means of commercially available finite element codes such as Abaqus constitutes an important part in the study of industrial processes. Against this background, a comprehensive implementation framework for a gradient-enhanced continuum damage formulation in a thermo-mechanically coupled finite deformation setting is proposed in this contribution. To assess the applicability of the implementation framework to industrial processes, a thermo-mechanically coupled, gradient-enhanced ductile damage model is exemplarily employed. The resulting three-field problem, consisting of the balance of linear momentum, the heat equation and the balance of micromorphic momentum, is implemented based on an... (More)
The solution of coupled multi-field problems by means of commercially available finite element codes such as Abaqus constitutes an important part in the study of industrial processes. Against this background, a comprehensive implementation framework for a gradient-enhanced continuum damage formulation in a thermo-mechanically coupled finite deformation setting is proposed in this contribution. To assess the applicability of the implementation framework to industrial processes, a thermo-mechanically coupled, gradient-enhanced ductile damage model is exemplarily employed. The resulting three-field problem, consisting of the balance of linear momentum, the heat equation and the balance of micromorphic momentum, is implemented based on an Abaqus user material by making use of a novel two-instance formulation. Representative simulation results are discussed, with the specific focus lying on the application to manufacturing processes involving complex contact interactions. The Abaqus framework is made available as an open-source code on GitHub, see Sobisch et al., Finite Elements in Analysis and Design 232 (2024) 104105. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
PAMM - Proceedings in Applied Mathematics and Mechanics
volume
24
issue
3
pages
9 pages
publisher
John Wiley & Sons Inc.
ISSN
1617-7061
DOI
10.1002/pamm.202400030
language
English
LU publication?
yes
id
f2e9cb4d-4387-4412-bd0e-f0a10d53b8d1
date added to LUP
2026-01-20 14:02:04
date last changed
2026-01-29 12:03:02
@article{f2e9cb4d-4387-4412-bd0e-f0a10d53b8d1,
  abstract     = {{The solution of coupled multi-field problems by means of commercially available finite element codes such as Abaqus constitutes an important part in the study of industrial processes. Against this background, a comprehensive implementation framework for a gradient-enhanced continuum damage formulation in a thermo-mechanically coupled finite deformation setting is proposed in this contribution. To assess the applicability of the implementation framework to industrial processes, a thermo-mechanically coupled, gradient-enhanced ductile damage model is exemplarily employed. The resulting three-field problem, consisting of the balance of linear momentum, the heat equation and the balance of micromorphic momentum, is implemented based on an Abaqus user material by making use of a novel two-instance formulation. Representative simulation results are discussed, with the specific focus lying on the application to manufacturing processes involving complex contact interactions. The Abaqus framework is made available as an open-source code on GitHub, see Sobisch et al., Finite Elements in Analysis and Design 232 (2024) 104105.}},
  author       = {{Sobisch, Lennart and Kaiser, Tobias and Menzel, Andreas}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{3}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{PAMM - Proceedings in Applied Mathematics and Mechanics}},
  title        = {{A finite element framework for thermo‐mechanically coupled gradient‐enhanced damage formulations}},
  url          = {{http://dx.doi.org/10.1002/pamm.202400030}},
  doi          = {{10.1002/pamm.202400030}},
  volume       = {{24}},
  year         = {{2024}},
}