Slip and Dislocation in Crystalline Solids as Precursors to Localized Deformation
We use crystal plasticity to describe the slip and dislocation in crystalline solids under mechanical loading. The constitutive formulation involves linearly dependent slip systems from which we extract a group of linearly independent slip systems using the ultimate algorithm advocated by Borja and Wren (Int J Numer Methods Eng 36:3815–3840, 1993). We implement the ultimate algorithm into a 3D nonlinear finite element code with infinitesimal deformation. We use the code to compare the deformation fields generated by crystal plasticity formulation and the classic J 2 plasticity model.
KeywordsCrystal plasticity Micromechanics Rocks Ultimate algorithm
This work is supported by the US Department of Energy under Grant No. DE-FG02-03ER15454 to Stanford University.
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