Keywords

inelastic, Statistical continuum theory, two phase medium

Abstract

A formulation is introduced here for the evolution of correlation functions in an inelastically deforming two phase medium. Probability functions play a major role in describing the statistical distribution of different phases in a heterogeneous medium in the development of statistical continuum theory. Proper formulation of statistical continuum model for inelastic deformation requires better understanding of the evolution of the corresponding probability functions. A two point probability function representation is used to approximate the statistical correlation functions. The evolution of these functions requires the information from higher order probability functions, in this case, a three point probability function. A decomposition of this three point probability function is required for the simulation of the statistical model. The results were compared with experimental data.

Original Publication Citation

International Journal of Solids and Structures 37 (2) 423-434