Uniaxial ratchetting in rate-independent plasticity laws
type: Item
instance of: scholarly article
title: Uniaxial ratchetting in rate-independent plasticity laws
zbMATH Open document ID: 0907.73027
DOI: 10.1007/BF01174323
author: Marcin Korzeń
author: Marc Kamlah
author: Ch. Tsakmakis
published in: Acta Mechanica
publication date: 1997-09-21T00:00:00Z
review text: The authors analyze uniaxial ratchetting in the context of rate-independent plasticity laws. The analysis is referred to constitutive models with kinematic hardening, as well as to sawtooth input functions for stress with constant absolute value of the stress rate. For such loading histories, the authors derive some analytical formulas and explicit expressions concerning the model response to a sufficiently large number of cycles. It turns out that an analogy can be drawn between the constitutive models of linear viscoelasticity and of rate-dependent plasticity with kinematic hardening. The analogy is established by a correspondence between the line representing the elasticity law for the equilibrium stress in viscoelasticity and the axis of kinematic hardening for the plasticity models defined in this paper.
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 1063837
zbMATH Keywords: kinematic hardening
zbMATH Keywords: linear viscoelasticity
zbMATH Keywords: equilibrium stress
MaRDI profile type: Publication
cites work: Uniaxial ratchetting in linear viscoelasticity
cites work: Time-independent constitutive theories for cyclic plasticity
cites work: Constitutive equations for cyclic plasticity and cyclic viscoplasticity
cites work: Mechanics of Solid Materials
cites work: Transformation of a nonlinear kinematic hardening rule to a multisurface form under isothermal and nonisothermal conditions
full work available at URL: https://doi.org/10.1007/bf01174323
OpenAlex ID: W2015473222
description: scientific article; zbMATH DE number 1063837