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Discontinuous bifurcations in a nonassociated Mohr material

Ottosen, Niels Saabye LU and Runesson, Kenneth (1991) In Mechanics of Materials 12(3-4). p.255-265
Abstract
Discontinuous bifurcations of an elastic-plastic material obeying Mohr's yield criterion and a nonassociated flow rule and subjected to general three-dimensional loading are investigated. The first possibility for bifurcation is identified and expressed in terms of the critical hardening modulus and the corresponding orientation of the slip planes. In the case of perfect plasticity the Mohr and Roscoe solutions for the orientation of the slip planes are derived. The corresponding strain rate fields are determined and it is shown that the Roscoe strain rate field differs significantly from the other fields. Moreover, the stress rate field is continuous across the singular surface for the Roscoe solution.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mechanics of Materials
volume
12
issue
3-4
pages
255 - 265
publisher
Elsevier
external identifiers
  • Scopus:0026255957
ISSN
0167-6636
DOI
10.1016/0167-6636(91)90022-R
language
English
LU publication?
yes
id
1c83872e-3f95-4475-9d67-466a85dd2cfd (old id 930570)
date added to LUP
2010-08-24 16:30:49
date last changed
2016-10-13 04:51:28
@misc{1c83872e-3f95-4475-9d67-466a85dd2cfd,
  abstract     = {Discontinuous bifurcations of an elastic-plastic material obeying Mohr's yield criterion and a nonassociated flow rule and subjected to general three-dimensional loading are investigated. The first possibility for bifurcation is identified and expressed in terms of the critical hardening modulus and the corresponding orientation of the slip planes. In the case of perfect plasticity the Mohr and Roscoe solutions for the orientation of the slip planes are derived. The corresponding strain rate fields are determined and it is shown that the Roscoe strain rate field differs significantly from the other fields. Moreover, the stress rate field is continuous across the singular surface for the Roscoe solution.},
  author       = {Ottosen, Niels Saabye and Runesson, Kenneth},
  issn         = {0167-6636},
  language     = {eng},
  number       = {3-4},
  pages        = {255--265},
  publisher    = {ARRAY(0x1415c248)},
  series       = {Mechanics of Materials},
  title        = {Discontinuous bifurcations in a nonassociated Mohr material},
  url          = {http://dx.doi.org/10.1016/0167-6636(91)90022-R},
  volume       = {12},
  year         = {1991},
}