2013 | OriginalPaper | Buchkapitel
Finite Deformation
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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.