Application of a Variational Self-Consistent Procedure to the Prediction of Deformation Textures in Polycrystals
A fundamental problem in the mechanics of materials is the computation of the macroscopic response of polycrystalline aggregates from the properties of their constituent single-crystal grains and the microstructure. In this paper, the nonlinear homogenization method of deBotton and Ponte Castañeda is used to compute “variational” self-consistent estimates for the effective behavior of polycrystals. Earlier papers have detailed the “instantaneous” mechanical response of polycrystals, but the present study focusses on the evolution the crystallographic texture predicted by this procedure.
Keywordspolycrystals textures variational procedure self-consistent model
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