UNIAXIAL RATCHETTING IN RATE-INDEPENDENT PLASTICITY LAWS

Citation
M. Kamlah et al., UNIAXIAL RATCHETTING IN RATE-INDEPENDENT PLASTICITY LAWS, Acta mechanica, 120(1-4), 1997, pp. 173-198
Citations number
14
Categorie Soggetti
Mechanics
Journal title
ISSN journal
00015970
Volume
120
Issue
1-4
Year of publication
1997
Pages
173 - 198
Database
ISI
SICI code
0001-5970(1997)120:1-4<173:URIRPL>2.0.ZU;2-J
Abstract
A discussion of uniaxial ratchetting in linear viscoelasticity is give n in [1]. The purpose of this paper is to analyse uniaxial ratchetting in the context of rate-independent plasticity laws. The analysis is r eferred to constitutive models with kinematic hardening, as well as to sawtooth input functions for stress with constant absolute value for the stress rate. For such loading histories some analytical formulas a nd explicit expressions concerning the model response for a sufficient ly large number of cycles are derived. It turns out that an analogy ca n be drawn between the constitutive models of linear viscoelasticity a nd those of rate-independent plasticity with kinematic hardening. The analogy is established by a correspondence between the line representi ng the elasticity law for the equilibrium stress in viscoelasticity an d the axis of kinematic hardening for the plasticity models defined in this paper.