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Two different approaches to model evolving directional properties at finite deformations

Harrysson, Magnus LU and Ristinmaa, Matti LU (2008) In Acta Mechanica 199(1-4). p.97-116
Abstract
Two different approaches to modeling evolving anisotropic material behavior are investigated. The first approach models the evolution of the directionally dependent properties of the material in terms of evolution laws for the director vectors. In the second approach the evolution law for the plastic velocity gradient is enhanced by additional terms. It is shown that both approaches lead to an evolution of the substructure that guides the directionally dependent properties of the material. The two approaches are analyzed within a thermodynamic setting and the restrictions imposed by the second law of thermodynamics are investigated. The two approaches are also compared from a kinematic point of view and equivalence between the two... (More)
Two different approaches to modeling evolving anisotropic material behavior are investigated. The first approach models the evolution of the directionally dependent properties of the material in terms of evolution laws for the director vectors. In the second approach the evolution law for the plastic velocity gradient is enhanced by additional terms. It is shown that both approaches lead to an evolution of the substructure that guides the directionally dependent properties of the material. The two approaches are analyzed within a thermodynamic setting and the restrictions imposed by the second law of thermodynamics are investigated. The two approaches are also compared from a kinematic point of view and equivalence between the two approaches is shown for some specific conditions. To further compare the approaches in the case in which equivalence cannot be found, two different evolution laws are considered, one for the substructure and the other for the plastic velocity gradient. These are compared for a loading that corresponds to a plane strain volume preserving deformation as well as simple shear. Here the Kirchhoff stress and the evolution of the director vectors are studied during the deformation process. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Acta Mechanica
volume
199
issue
1-4
pages
97 - 116
publisher
Springer
external identifiers
  • wos:000258757700007
  • scopus:50649116199
ISSN
0001-5970
DOI
10.1007/s00707-007-0559-0
language
English
LU publication?
yes
id
032ec187-7e2d-4283-be7f-c076a87f4635 (old id 1249702)
date added to LUP
2008-11-06 12:48:07
date last changed
2017-01-01 04:31:17
@article{032ec187-7e2d-4283-be7f-c076a87f4635,
  abstract     = {Two different approaches to modeling evolving anisotropic material behavior are investigated. The first approach models the evolution of the directionally dependent properties of the material in terms of evolution laws for the director vectors. In the second approach the evolution law for the plastic velocity gradient is enhanced by additional terms. It is shown that both approaches lead to an evolution of the substructure that guides the directionally dependent properties of the material. The two approaches are analyzed within a thermodynamic setting and the restrictions imposed by the second law of thermodynamics are investigated. The two approaches are also compared from a kinematic point of view and equivalence between the two approaches is shown for some specific conditions. To further compare the approaches in the case in which equivalence cannot be found, two different evolution laws are considered, one for the substructure and the other for the plastic velocity gradient. These are compared for a loading that corresponds to a plane strain volume preserving deformation as well as simple shear. Here the Kirchhoff stress and the evolution of the director vectors are studied during the deformation process.},
  author       = {Harrysson, Magnus and Ristinmaa, Matti},
  issn         = {0001-5970},
  language     = {eng},
  number       = {1-4},
  pages        = {97--116},
  publisher    = {Springer},
  series       = {Acta Mechanica},
  title        = {Two different approaches to model evolving directional properties at finite deformations},
  url          = {http://dx.doi.org/10.1007/s00707-007-0559-0},
  volume       = {199},
  year         = {2008},
}