AN INCREMENTAL FORMULATION FOR RATE-INDEPENDENT FINITE RIGID PLASTICITY
J. Lu and P. Papadopoulos
Int. J. Nonl. Sci. Num. Sim., 7, pp. 139-153, (2002)
Abstract
This paper proposes an incremental formulation for rate-independent rigid
plasticity at finite strains. A family of objective approximations of the
rate of deformation tensor is developed, based on which the stress response
is expressed as a function of relative strain tensors. The resulting stress
response is incrementally elasticity and properly invariant under superposed
rigid body motions. In addition, the constitutive equations can be readily
implemented into a standard strain-driven finite element framework. The
methodology is also extended to the construction of approximate
elastic-plastic constitutive equations. For both cases, the resulting stress
response satisfies the yiled condition by construction, therefore the local
return mapping is completely bypassed. The performance of the formulation is
illustrates by selected numerical examples.
(If your institution subscribes to the electronic version of the journal,
click
here
for a copy of this paper.)