Integration of Constitutive Equations in Soil Plasticity
Publication: Journal of Engineering Mechanics
Volume 117, Issue 8
Abstract
Explicit and implicit integration of elastoplastic constitutive relations subjected to the constraint of undrained behavior is investigated. The effect on numerical efficiency of various modes in terms of total stress and strain components is considered. The suggested explicit integration algorithm employs the appropriate tangent relation that incorporates the incompressibility condition and requires no iterations. The fully implicit algorithm used in this paper, on the other hand, is based on complete strain control and satisfies, in an iterative manner, the incompressibility constraint as well as equilibrium pertinent to any prescribed total stress component. The constitutive equation that is considered is a three‐invariant generalized cam‐clay model with volumetric hardening/softening as well as deviatoric hardening. Both the explicit and implicit methods seem reliable and efficient for reasonable load steps, even for nonconventional control paths.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 8 • August 1991
Pages: 1771 - 1790
Copyright
Copyright © 1991 ASCE.
History
Published online: Aug 1, 1991
Published in print: Aug 1991
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