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Use of couple-stress theory in elasto-plasticity

Ristinmaa, Matti LU and Vecchi, Marcella (1996) In Computer Methods in Applied Mechanics and Engineering 136(1-2). p.205-224
Abstract
One way to avoid vanishing dissipative energy and localization to zero volume when examining localization and softening problems, is to introduce an internal length scale for the material by means of couple-stress theory. Here, the ‘constrained’ Cosserat theory is adopted where the displacement field also determines the rotation field. For this ‘constrained’ Cosserat theory an elasto-plastic theory is derived within a thermodynamic framework and it is shown that the evolution laws for the internal variables can be derived from the postulate of maximum dissipation. A generalization of the classical von Mises material is proposed; both the derivation of the model and the numerical treatment of the integration problem are discussed. The... (More)
One way to avoid vanishing dissipative energy and localization to zero volume when examining localization and softening problems, is to introduce an internal length scale for the material by means of couple-stress theory. Here, the ‘constrained’ Cosserat theory is adopted where the displacement field also determines the rotation field. For this ‘constrained’ Cosserat theory an elasto-plastic theory is derived within a thermodynamic framework and it is shown that the evolution laws for the internal variables can be derived from the postulate of maximum dissipation. A generalization of the classical von Mises material is proposed; both the derivation of the model and the numerical treatment of the integration problem are discussed. The generalized von Mises model is used in finite element calculations where shear band formation is considered and the results turn out to be independent of the mesh spacing. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Couple-stress, finite element, elasto-plasticity
in
Computer Methods in Applied Mechanics and Engineering
volume
136
issue
1-2
pages
205 - 224
publisher
Elsevier
external identifiers
  • Scopus:0030231555
ISSN
0045-7825
DOI
10.1016/0045-7825(96)00996-6
language
English
LU publication?
yes
id
26afde50-fcd7-404c-a4e2-5f3062f81e09 (old id 2223691)
date added to LUP
2011-12-06 13:23:06
date last changed
2016-04-16 11:54:48
@misc{26afde50-fcd7-404c-a4e2-5f3062f81e09,
  abstract     = {One way to avoid vanishing dissipative energy and localization to zero volume when examining localization and softening problems, is to introduce an internal length scale for the material by means of couple-stress theory. Here, the ‘constrained’ Cosserat theory is adopted where the displacement field also determines the rotation field. For this ‘constrained’ Cosserat theory an elasto-plastic theory is derived within a thermodynamic framework and it is shown that the evolution laws for the internal variables can be derived from the postulate of maximum dissipation. A generalization of the classical von Mises material is proposed; both the derivation of the model and the numerical treatment of the integration problem are discussed. The generalized von Mises model is used in finite element calculations where shear band formation is considered and the results turn out to be independent of the mesh spacing.},
  author       = {Ristinmaa, Matti and Vecchi, Marcella},
  issn         = {0045-7825},
  keyword      = {Couple-stress,finite element,elasto-plasticity},
  language     = {eng},
  number       = {1-2},
  pages        = {205--224},
  publisher    = {ARRAY(0x89b4160)},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {Use of couple-stress theory in elasto-plasticity},
  url          = {http://dx.doi.org/10.1016/0045-7825(96)00996-6},
  volume       = {136},
  year         = {1996},
}