Multiscale Modeling of Deformation Twinning Based on Field Theory of Multiscale Plasticity (FTMP)

Report No. ARL-TR-6581
Authors: Tadashi Hasebe; John D. Clayton
Date/Pages: September 2013; 30 pages
Abstract: In this report, we discuss the application of a field theory, incorporating first and second gradients of plastic distortion into the constitutive response of metallic single crystals. Differential-geometric aspects of the theory are briefly summarized, and a constitutive model for ductile crystals is then outlined. We also report simulations that confirm basic capabilities of the model in terms of describing important features of deformation twinning, e.g., nucleation, growth, lattice rotation, and the attendant stress response and energy redistribution. Using numerical results for face-centered cubic metals—single crystals and polycrystalline samples of copper—we examine the effects of geometrical constraints. Numerical results for hexagonal close-packed metals—specifically, magnesium single crystals—demonstrate interactions between twinning and slip, tension-compression asymmetry, reversibility, and other typically observed properties. Agreement with experiments is satisfactory.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2013