Finite Deformation

Abstract

Many applications of plasticity theory involve large deformation for which the infinitesimal theory developed in the previous chapters may not be appropriate. Even if the stretching or straining of a material is small, the infinitesimal formulation is insufficient if the domain of interest experiences large rotation. This chapter focuses on the theoretical formulation and finite element implementation of a finite deformation theory of elastoplasticity. Whereas numerous finite deformation theories abound in the literature, we shall focus mainly on a formulation based on a multiplicative decomposition of the deformation gradient, which gives rise to so-called multiplicative plasticity theory.