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On the implementation of finite deformation gradient-enhanced damage models

Ostwald, Richard ; Kuhl, Ellen and Menzel, Andreas LU (2019) In Computational Mechanics 64(3). p.847-877
Abstract

We introduce a comprehensive framework for the efficient implementation of finite deformation gradient-regularised damage formulations in existing finite element codes. The numerical implementation is established within a thermo-mechanically fully coupled finite element formulation, where the heat equation solution capabilities are utilised for the damage regularisation. The variationally consistent, gradient-extended and geometrically non-linear damage formulation is based on an overall free energy function, where the standard local free energy contribution is additively extended by two non-local terms. The first additional term basically contains the referential gradient of the non-local damage variable. Secondly, a penalty term is... (More)

We introduce a comprehensive framework for the efficient implementation of finite deformation gradient-regularised damage formulations in existing finite element codes. The numerical implementation is established within a thermo-mechanically fully coupled finite element formulation, where the heat equation solution capabilities are utilised for the damage regularisation. The variationally consistent, gradient-extended and geometrically non-linear damage formulation is based on an overall free energy function, where the standard local free energy contribution is additively extended by two non-local terms. The first additional term basically contains the referential gradient of the non-local damage variable. Secondly, a penalty term is added to couple the local damage variable—the evolution of which is governed by an ordinary differential equation—and the non-local damage field variable that is governed by an additional balance equation of elliptic type.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Abaqus, Finite element implementation, Gradient-enhanced damage, Heat equation
in
Computational Mechanics
volume
64
issue
3
pages
847 - 877
publisher
Springer
external identifiers
  • scopus:85065158807
ISSN
0178-7675
DOI
10.1007/s00466-019-01684-5
language
English
LU publication?
yes
id
b9c11538-a714-44df-a194-947a0260a3a4
date added to LUP
2019-05-24 13:10:57
date last changed
2020-10-07 06:30:40
@article{b9c11538-a714-44df-a194-947a0260a3a4,
  abstract     = {<p>We introduce a comprehensive framework for the efficient implementation of finite deformation gradient-regularised damage formulations in existing finite element codes. The numerical implementation is established within a thermo-mechanically fully coupled finite element formulation, where the heat equation solution capabilities are utilised for the damage regularisation. The variationally consistent, gradient-extended and geometrically non-linear damage formulation is based on an overall free energy function, where the standard local free energy contribution is additively extended by two non-local terms. The first additional term basically contains the referential gradient of the non-local damage variable. Secondly, a penalty term is added to couple the local damage variable—the evolution of which is governed by an ordinary differential equation—and the non-local damage field variable that is governed by an additional balance equation of elliptic type.</p>},
  author       = {Ostwald, Richard and Kuhl, Ellen and Menzel, Andreas},
  issn         = {0178-7675},
  language     = {eng},
  number       = {3},
  pages        = {847--877},
  publisher    = {Springer},
  series       = {Computational Mechanics},
  title        = {On the implementation of finite deformation gradient-enhanced damage models},
  url          = {http://dx.doi.org/10.1007/s00466-019-01684-5},
  doi          = {10.1007/s00466-019-01684-5},
  volume       = {64},
  year         = {2019},
}