On the implementation of finite deformation gradient-enhanced damage models
(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.
(Less)
- author
- Ostwald, Richard ; Kuhl, Ellen and Menzel, Andreas LU
- organization
- publishing date
- 2019
- 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
- 2022-04-26 00:21:17
@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}},
keywords = {{Abaqus; Finite element implementation; Gradient-enhanced damage; Heat equation}},
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}},
}