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This article provides an explanation on how crystal plasticity is implemented within finite element formulations by the use of physical length scales: crystal scale and continuum scale. It provides theoretical formulations for kinematic framework for deforming crystals and polycrystals, elastic and plastic behaviors of single crystals, refinements to the single-crystal constitutive, and crystal-scale finite-element. The article also presents examples that illustrate the capabilities of the formulations at the length scales.

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P.R. Dawson, D.E. Boyce, 2009. "Crystal-Scale Simulations Using Finite-Element Formulations", Fundamentals of Modeling for Metals Processing, D.U. Furrer, S.L. Semiatin

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