Anisotropic Plasticity with Anisotropic Hardening and Rate Dependence
Publication: Journal of Engineering Mechanics
Volume 122, Issue 4
Abstract
A new elastoplastic theory is presented that includes general anisotropic elasticity with independently specified anisotropy controlling each of the yield, kinematic hardening, and scalar hardening, and rate dependence matrices. This model corresponds directly to the elastic plastic isotropic/kinematic hardening models used in computer codes today. The scalar hardening is defined as an enlargement or uniform scaling of the yield surface and corresponds to isotropic hardening for conventional plasticity. The amount of strain required for a given enlargement in stress space depends upon which component of the strain is involved. Kinematic hardening is linear in strain while scalar hardening and rate dependence are illustrated with power law forms. The theory is examined from a thermodynamic view point starting with the Helmholtz free energy. Rate dependence is superimposed in a traditional manner except full anisotropy is accommodated. An approach is presented to aid in numerical integration of the equations. The effect of postulating plasticity to be independent of volume strain rather than of pressure is illustrated. This alternate postulate imposes different constraints on the various matrices. The number of constants required for a fully anisotropic material is 106. Special cases of the theory are listed along with correspondingly lower numbers of required constants.
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Published In
Journal of Engineering Mechanics
Volume 122 • Issue 4 • April 1996
Pages: 316 - 324
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Apr 1, 1996
Published in print: Apr 1996
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