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On constitutive relations at finite strain - Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardeningNagtegaal and de Jong (1982) have studied stresses generated by simple finite shear in the case of elastic-plastic and rigid-plastic materials which exhibit anisotropic hardening. They reported that the shear stress is oscillatory in time. It was found that the occurrence of such an 'anomaly' is not restricted to anisotropic plasticity. Similar behavior in finite shear may result even in the case of hypoelasticity and classical isotropic hardening plasticity theory. The present investigation is concerned with the central problem of 'generalizing' with respect to the finite strain case, taking into account the constitutive relations of infinitesimal strain theories of classical plasticity with isotropic or kinematic hardening. The problem of hypoelasticity is also considered. It is shown that current controversies surrounding the choice of stress rate in the finite-strain generalizations of the constitutive relations and the anomalies surrounding kinematic hardening plasticity theory are easily resolvable.
Document ID
19840055128
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Atluri, S. N.
(Georgia Institute of Technology Atlanta, GA, United States)
Date Acquired
August 12, 2013
Publication Date
April 1, 1984
Publication Information
Publication: Computer Methods in Applied Mechanics and Engineering
Volume: 43
ISSN: 0045-7825
Subject Category
Structural Mechanics
Accession Number
84A37915
Distribution Limits
Public
Copyright
Other

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