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.)