A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization

A 2D model, in which plastic flow is treated as a stochastic sequence of local inelastic transformations, is proposed. In this model internal elastic stresses, resulting from such inelastic transformations, are explicitly accounted for, and an effective computer code for numerical simulation of plastic flow at arbitrary temperature and loading conditions is developed. The transition from diffuse high-temperature flow to well localized low-temperature Row is a natural result of the model. Various kinetic and structural aspects of plasticity in the model to solid at different temperatures are discussed. The model that is developed is primarily initiation controlled, and represents well the properties of amorphous media. It is to be distinguished from mobility-controlled plasticity involving dislocation glide. In its manifestations, however, the distinction becomes blurred.