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Theoretical Framework for Modelling the Behaviour of Frictional Materials

Ottosen, Niels Saabye LU (1986) In International Journal of Solids and Structures 22(11). p.1325-1342
Abstract
A constitutive theory is proposed, which possesses the possibilities of modelling all the important features or the behaviour or frictional materials such as: influence of all three stress invariants, coupling between deviatoric and volumetric response, dilatancy, softening, and different behaviour in loading and unloading. The basic constitutive assumptions are relations between properly defined stress and strain rate invariants, from which the component equations are derived by means of a suitable reformulation. After the incremental stress-strain relations have been derived, they are augmented by consistent loading/unloading criteria. Emphasis is given to a fundamental discussion of the general properties of the theory proposed and it... (More)
A constitutive theory is proposed, which possesses the possibilities of modelling all the important features or the behaviour or frictional materials such as: influence of all three stress invariants, coupling between deviatoric and volumetric response, dilatancy, softening, and different behaviour in loading and unloading. The basic constitutive assumptions are relations between properly defined stress and strain rate invariants, from which the component equations are derived by means of a suitable reformulation. After the incremental stress-strain relations have been derived, they are augmented by consistent loading/unloading criteria. Emphasis is given to a fundamental discussion of the general properties of the theory proposed and it is shown to fulfil all the formal requirements (causality, determinism, admissibility, form-invariance, continuity) that a properly formulated constitutive theory must obey. Moreover, the theory contains a surprisingly large number of classical as well as nonclassical theories as special cases. In particular, it contains formulations ranging from nonassociated plasticity theory, associated plasticity theory, hypoelasticity to elasticfracturing theory. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Solids and Structures
volume
22
issue
11
pages
1325 - 1342
publisher
Elsevier
external identifiers
  • Scopus:0022863750
ISSN
0020-7683
DOI
10.1016/0020-7683(86)90084-3
language
English
LU publication?
yes
id
68b44b08-f7f3-405b-afd9-1e5bf474b9e5 (old id 1370203)
date added to LUP
2010-09-18 10:49:01
date last changed
2016-10-13 04:57:37
@misc{68b44b08-f7f3-405b-afd9-1e5bf474b9e5,
  abstract     = {A constitutive theory is proposed, which possesses the possibilities of modelling all the important features or the behaviour or frictional materials such as: influence of all three stress invariants, coupling between deviatoric and volumetric response, dilatancy, softening, and different behaviour in loading and unloading. The basic constitutive assumptions are relations between properly defined stress and strain rate invariants, from which the component equations are derived by means of a suitable reformulation. After the incremental stress-strain relations have been derived, they are augmented by consistent loading/unloading criteria. Emphasis is given to a fundamental discussion of the general properties of the theory proposed and it is shown to fulfil all the formal requirements (causality, determinism, admissibility, form-invariance, continuity) that a properly formulated constitutive theory must obey. Moreover, the theory contains a surprisingly large number of classical as well as nonclassical theories as special cases. In particular, it contains formulations ranging from nonassociated plasticity theory, associated plasticity theory, hypoelasticity to elasticfracturing theory.},
  author       = {Ottosen, Niels Saabye},
  issn         = {0020-7683},
  language     = {eng},
  number       = {11},
  pages        = {1325--1342},
  publisher    = {ARRAY(0xaab5eb8)},
  series       = {International Journal of Solids and Structures},
  title        = {Theoretical Framework for Modelling the Behaviour of Frictional Materials},
  url          = {http://dx.doi.org/10.1016/0020-7683(86)90084-3},
  volume       = {22},
  year         = {1986},
}