Dubrovnik, Croatia, September 15-18, 2019

Mesoscale Modeling of Discrete Shear Transformation Zone (STZ) Plasticity

Alan Needleman, Texas A&M University

A method, analogous to that for discrete dislocation plasticity, for modeling plastic deformation arising from the evolution of a collection of discrete shear transformation zones (STZs) will be presented. The shear transformation zones are modeled as Eshelby inclusions. Superposition is used to represent a small strain quasi-static boundary value problem solution in terms of: (i) discretely modeled Eshelby inclusions, given analytically for an infinite elastic medium; and (ii) an image solution that enforces the prescribed boundary condition. Issues associated with representing transformations as Eshelby inclusions will be discussed and examples of boundary value problem solutions will be given.