Advanced

A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts

Kiefer, Bjoern; Waffenschmidt, Tobias; Sprave, Leon and Menzel, Andreas LU (2018) In International Journal of Damage Mechanics 27(2). p.253-295
Abstract

A non-local gradient-enhanced damage-plasticity formulation is proposed, which prevents the loss of well-posedness of the governing field equations in the post-critical damage regime. The non-locality of the formulation then manifests itself in terms of a non-local free energy contribution that penalizes the occurrence of damage gradients. A second penalty term is introduced to force the global damage field to coincide with the internal damage state variable at the Gauss point level. An enforcement of Karush–Kuhn–Tucker conditions on the global level can thus be avoided and classical local damage models may directly be incorporated and equipped with a non-local gradient enhancement. An important part of the present work is to... (More)

A non-local gradient-enhanced damage-plasticity formulation is proposed, which prevents the loss of well-posedness of the governing field equations in the post-critical damage regime. The non-locality of the formulation then manifests itself in terms of a non-local free energy contribution that penalizes the occurrence of damage gradients. A second penalty term is introduced to force the global damage field to coincide with the internal damage state variable at the Gauss point level. An enforcement of Karush–Kuhn–Tucker conditions on the global level can thus be avoided and classical local damage models may directly be incorporated and equipped with a non-local gradient enhancement. An important part of the present work is to investigate the efficiency and robustness of different algorithmic schemes to locally enforce the Karush–Kuhn–Tucker conditions in the multi-surface damage-plasticity setting. Response simulations for representative inhomogeneous boundary value problems are studied to assess the effectiveness of the gradient enhancement regarding stability and mesh objectivity.

(Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Constitutive modeling, finite element implementation of coupled problems, gradient-enhanced ductile damage-plasticity, multi-surface inelasticity, non-local continuum formulation
in
International Journal of Damage Mechanics
volume
27
issue
2
pages
43 pages
publisher
SAGE Publications Inc.
external identifiers
  • scopus:85040824737
ISSN
1056-7895
DOI
language
English
LU publication?
yes
id
9e3383c8-4d0b-4d35-8cb2-9bc0fcf87d2a
date added to LUP
2018-01-30 07:58:29
date last changed
2018-05-29 10:48:59
@article{9e3383c8-4d0b-4d35-8cb2-9bc0fcf87d2a,
  abstract     = {<p>A non-local gradient-enhanced damage-plasticity formulation is proposed, which prevents the loss of well-posedness of the governing field equations in the post-critical damage regime. The non-locality of the formulation then manifests itself in terms of a non-local free energy contribution that penalizes the occurrence of damage gradients. A second penalty term is introduced to force the global damage field to coincide with the internal damage state variable at the Gauss point level. An enforcement of Karush–Kuhn–Tucker conditions on the global level can thus be avoided and classical local damage models may directly be incorporated and equipped with a non-local gradient enhancement. An important part of the present work is to investigate the efficiency and robustness of different algorithmic schemes to locally enforce the Karush–Kuhn–Tucker conditions in the multi-surface damage-plasticity setting. Response simulations for representative inhomogeneous boundary value problems are studied to assess the effectiveness of the gradient enhancement regarding stability and mesh objectivity.</p>},
  author       = {Kiefer, Bjoern and Waffenschmidt, Tobias and Sprave, Leon and Menzel, Andreas},
  issn         = {1056-7895},
  keyword      = {Constitutive modeling,finite element implementation of coupled problems,gradient-enhanced ductile damage-plasticity,multi-surface inelasticity,non-local continuum formulation},
  language     = {eng},
  month        = {02},
  number       = {2},
  pages        = {253--295},
  publisher    = {SAGE Publications Inc.},
  series       = {International Journal of Damage Mechanics},
  title        = {A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts},
  url          = {http://dx.doi.org/},
  volume       = {27},
  year         = {2018},
}