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Discontinuous Bifurcations of Elasto-Plastic Solution at Plane Stress and Plane Strain

Runesson, Kenneth; Ottosen, Niels Saabye LU and Peric, Dunja (1991) In International Journal of Plasticity 7(1-2). p.99-121
Abstract
Conditions for discontinuous bifurcations of the incremental fields in elastic-platic materials subjected to the condition of either plane stress or plane strain are derived and explicit expressions for the critical hardening modulus and the corresponding bifurcation directions are obtained for a quite general class of plasticity models. The only restriction is that the gradients of the yield function and plastic potential, that defines the nonassociated flow rule, have the same principal directions and that two of these directions are located in the plane of interest.



Drucker-Prager's and Mohr-Coulomb's yield criteria are taken as typical for the behavior of pressure-dependent materials such as concrete and granular... (More)
Conditions for discontinuous bifurcations of the incremental fields in elastic-platic materials subjected to the condition of either plane stress or plane strain are derived and explicit expressions for the critical hardening modulus and the corresponding bifurcation directions are obtained for a quite general class of plasticity models. The only restriction is that the gradients of the yield function and plastic potential, that defines the nonassociated flow rule, have the same principal directions and that two of these directions are located in the plane of interest.



Drucker-Prager's and Mohr-Coulomb's yield criteria are taken as typical for the behavior of pressure-dependent materials such as concrete and granular materials. For the latter criterion, results for plane strain have previously been obtained only for the very particular case when the intermediate principal stress is directed out-of-plane. These results are confirmed in this paper as a part of the investigation of the complete behavior. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Plasticity
volume
7
issue
1-2
pages
99 - 121
publisher
Elsevier
external identifiers
  • Scopus:0025887956
ISSN
0749-6419
DOI
10.1016/0749-6419(91)90007-L
language
English
LU publication?
yes
id
5bbc1ef1-cc8a-4551-acee-30baf85a4681 (old id 1370091)
date added to LUP
2010-08-24 16:17:16
date last changed
2017-02-26 04:31:42
@article{5bbc1ef1-cc8a-4551-acee-30baf85a4681,
  abstract     = {Conditions for discontinuous bifurcations of the incremental fields in elastic-platic materials subjected to the condition of either plane stress or plane strain are derived and explicit expressions for the critical hardening modulus and the corresponding bifurcation directions are obtained for a quite general class of plasticity models. The only restriction is that the gradients of the yield function and plastic potential, that defines the nonassociated flow rule, have the same principal directions and that two of these directions are located in the plane of interest.<br/><br>
<br/><br>
Drucker-Prager's and Mohr-Coulomb's yield criteria are taken as typical for the behavior of pressure-dependent materials such as concrete and granular materials. For the latter criterion, results for plane strain have previously been obtained only for the very particular case when the intermediate principal stress is directed out-of-plane. These results are confirmed in this paper as a part of the investigation of the complete behavior.},
  author       = {Runesson, Kenneth and Ottosen, Niels Saabye and Peric, Dunja},
  issn         = {0749-6419},
  language     = {eng},
  number       = {1-2},
  pages        = {99--121},
  publisher    = {Elsevier},
  series       = {International Journal of Plasticity},
  title        = {Discontinuous Bifurcations of Elasto-Plastic Solution at Plane Stress and Plane Strain},
  url          = {http://dx.doi.org/10.1016/0749-6419(91)90007-L},
  volume       = {7},
  year         = {1991},
}