Continuum transport of dislocations during shock response of crystals

Abstract eng:
We present a modeling framework that couples continuum dislocation transport, nonlinear thermoelasticity, crystal plasticity, and consistent internal stress and deformation fields to simulate the single-crystal level response of materials to extreme dynamic conditions. Dislocation transport is modeled by enforcing dislocation conservation at a slip-system level through the solution of advection-diffusion equations. The configuration of geometrically necessary dislocation density gives rise to a back-stress that inhibits or accentuates the flow of dislocations. Associated with this internal stress field is an internal strain field. The paper will describe each theoretical component of the framework, key aspects of the constitutive theory, and details of implementation into a 1-D research code and 3-D production hydrocode. Results from single- and poly-crystal plate impact simulations will be discussed in order to highlight the role of dislocation transport and pile-up in shock loading regimes.

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