ON UNIQUENESS AND CONVERGENCE OF A DISCRETE AGGREGATE MODEL IN POLYCRYSTALLINE PLASTICITY.
NORTH CAROLINA STATE UNIV RALEIGH
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A discrete model for the study of small deformation response of polycrystalline aggregates is presented and analytically investigated. The model encompasses both anisotropic crystal elasticity and a general hardening law over crystallographic slip systems. Internal fields which satisfy the discrete governing equations are established as unique, and a strict proof of convergence to the solution of the corresponding continuum boundary value problem is given. Thus, the model is rigorously confirmed as a rational approximation well-suited to quantitative analyses of aggregate behavior. Author