Continuum model and simulations for microstructural evolution in deformation processes

Abstract eng:
A model is developed for a class of anisotropic elastic-plastic solids in which the orthotropic triad that characterizes the symmetry of the microstructure evolves with deformation. Constitutive equations for microstructural spin are based upon an exact relationship between that spin, the material spin, and the plastic rate of stretching that has been derived using representation theory for tensor-valued functions. Simulations of necking, shear banding, and buckling display significant effects of microstructural evolution on strain localization. Recent work on microstructure evolution in complex fluids also will be discussed.

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