Finite Deformation by Elasticity, Slip, and Twinning: Atomistic Considerations, Continuum Modeling, and Application to Ceramic Crystals

Report No. ARL-RP-244
Authors: John D. Clayton
Date/Pages: March 2009; 10 pages
Abstract: A continuum theory is developed for modeling elasticity, plasticity, and twinning in single crystals of arbitrary anisotropy, subjected to arbitrarily large deformations. Concepts from discrete lattice models are considered for estimating resistances to inelastic shear. Nonlinear thermoelastic calculations are used in conjunction with experimental shock physics observations to provide estimates for resistances to slip, twinning, and shear fracture on preferred planes in alumina single crystals (i.e., rhomobohedral corundum or sapphire).
Distribution: Approved for public release
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Last Update / Reviewed: March 1, 2009