Abstract
Abstract This chapter introduces plasticity in a one-dimensional setting. The phenomenology of the elastic-plastic response of isotropic polycrystalline materials in a tension test is discussed. The additive decomposition of the strain into an elastic part and a plastic part is introduced, along with the concept of an equivalent tensile plastic strain. The notion of a yield condition and a plastic flow rule, together with the concept of isotropic strain-hardening are discussed, and complete models for both rate-independent and rate-dependent elastoplasticity are formulated. In addition, basic numerical methods for evaluating both rate-independent and rate-dependent plasticity models are presented.
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