Abstract
A discrete aggregate model, recently proposed by the author [1] as a basis for quantitative studies in polycrystalline plasticity, is extended and further analyzed herein. The discretized internal stress and strain increment fields, uniquely determined from the solution of a constrained quadratic programming problem, are proved to be strictly convergent to the solution of the corresponding continuum boundary value problem. Thus, the model is rigorously confirmed as a rational approximation well-suited for computational investigations of aggregate behavior.
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