The finite element method is a powerful complement to polycrystal plasticity theory for modeling the non-uniform deformation of crystalline solids. Polycrystal plasticity provides a micro-mechanical model for slip-dominated plastic flow and serves as a constitutive theory for deformation simulations (Kocks et al. 1998). The finite element method offers a numerical means to solve partial differential equations, such as the field equations of elasticity or plasticity (Zienkiewicz et al. 1989). The two can be combined in different ways depending on the goals of a modeling effort.
Finite elements and polycrystal plasticity may be applied to the detailed...
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