Theoretical Framework for Modelling the Behaviour of Frictional Materials
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1370203
- author
- Ottosen, Niels Saabye LU
- organization
- publishing date
- 1986
- 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
- 2016-04-04 13:47:30
- date last changed
- 2021-01-03 03:24:38
@article{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 = {{Elsevier}},
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}},
doi = {{10.1016/0020-7683(86)90084-3}},
volume = {{22}},
year = {{1986}},
}