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The backstress effect of evolving deformation boundaries in FCC polycrystals
Authors:Abhijit P BrahmeKaan Inal  Raja K MishraS Saimoto
Institution:a Mechanics and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada N2L 3G1
b General Motors Research and Development Center, 3500 Mound Rd. Warren, MI 48090-9055, USA
c Mechanical and Materials Engineering, Queen’s University, 60 Union Street, Kingston, ON, Canada K7L 3N6
Abstract:Shape change of metal systems generates deformed microstructures of dislocation arrays that are comprised of walls of high density separating low density cells. The flow stresses of these composite structures are equilibrated by an evolving internal stress due to the blockage of dislocation passage resulting in kinematic hardening in the meso-scale. The method of intra-granular backstress of Eshelby using Kröner based approach in closed form formulae can easily be incorporated into a crystal-plasticity-based model to predict the kinematic hardening. We have previously developed finite element analyses based on the rate dependent crystal plasticity theory, which can incorporate electron backscatter diffraction (EBSD) maps. We will use this model with inclusion of the calculated backstress to investigate the effect of changes in strain paths.
Keywords:Crystal plasticity  Backstress  Unit cell  Finite element analysis  Strain paths
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