Synthetic theory of irreversible deformation in the context of fundamental bases of plasticity

A new theory, the synthetic theory of irreversible deformation, is presented. This theory is based on the Sanders variant of flow plasticity theory and the Batdorf–Budiansky slip concept and concerns with small plastic strains of work-hardening materials. The synthetic theory is considered in the context of the main requirements imposed on theories of plasticity. Therefore, first, the disagreements of classical theories (flow plasticity theories and the slip concept) with these requirements are indicated and then it is shown how the synthetic theory removes these shortcomings. One of the most important features of the proposed theory is the arising of corner point on a loading surface during loading. This fact considerably widens the applicability of the synthetic theory, especially for the cases of non-smooth (angular) loading trajectories.