TY - JOUR
T1 - On constitutive relations at finite strain
T2 - Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening
AU - Atluri, Satya N.
N1 - Funding Information:
The results presenteda bove were obtained during the course of investigationss upported under a grant from the NASA Lewis ResearchC enter, Cleveland, to the Georgia Institute of Technology. The author gratefully acknowledgest his support. The assistanceo f Mr. C.-T. Yang in obtaining the numericals olutions presentedh erein is thankfully acknowledged.I t is a pleasuret o acknowledget he assistanceo f Ms. J. Webb in the preparationo f this manuscript.
PY - 1984/4
Y1 - 1984/4
N2 - The question of 'generalization' to finite strains of the constitutive relations of infinitesimal strain theory of elasticity, and classical elasto-plasticity with isotropic and kinematic hardening, is critically examined. Simple generalizations, which lead to physically plausible material behaviour, are presented. The current controversies surrounding (i) the choice of stress-rate in the above generalization and (ii) the 'anomaly' of oscillatory stresses in kinematic hardening plasticity, as discussed by E.H. Lee and others, are analyzed. It is found that these 'controversies' are easily resolvable.
AB - The question of 'generalization' to finite strains of the constitutive relations of infinitesimal strain theory of elasticity, and classical elasto-plasticity with isotropic and kinematic hardening, is critically examined. Simple generalizations, which lead to physically plausible material behaviour, are presented. The current controversies surrounding (i) the choice of stress-rate in the above generalization and (ii) the 'anomaly' of oscillatory stresses in kinematic hardening plasticity, as discussed by E.H. Lee and others, are analyzed. It is found that these 'controversies' are easily resolvable.
UR - http://www.scopus.com/inward/record.url?scp=0021405665&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(84)90002-1
DO - 10.1016/0045-7825(84)90002-1
M3 - Article
AN - SCOPUS:0021405665
SN - 0045-7825
VL - 43
SP - 137
EP - 171
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 2
ER -