Publication 18-CNA-024
Dislocation Pattern Formation in Finite Deformation Crystal Plasticity
Rajat Arora
Dept. of Civil & Environmental Engineering
Carnegie Mellon University
Pittsburgh, PA 15213
rarora1@andrew.cmu.edu
Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213
acharyaamit@cmu.edu
Abstract: Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters beyond the
requirements of standard classical crystal plasticity theory. The dislocation microstructures shown are decoupled from deformation microstructures, and emerge without
any consideration of latent hardening or constitutive assumptions related to crossslip. Crystal orientation effects on the pattern formation and mechanical response are also demonstrated. The manifest irrelevance of the necessity of a multiplicative decomposition of the deformation gradient, a plastic distortion tensor, and the choice of
a reference configuration in our model to describe the micromechanics of plasticity as it arises from the existence and motion of dislocations is worthy of note.
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