A Model of the Evolution of a Two-dimensional Defective Structure
Journal of Elasticity
A model of the anelastic evolution law of a two-dimensional defective solid crystal body is proposed. Assuming that the material body is made of triclinic crystals and that the evolution process does not alter the basic material symmetry group, we postulate that the evolution is driven by the present state of the density of the distribution of defects. We show that a linear relation between the inhomogeneity velocity gradient and the torsion tensor is rich enough to model such phenomena as relaxation of defects and dislocation pile-up.
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Epstein, Marcelo and Elźanowski, Marek, "A Model of the Evolution of a Two-dimensional Defective Structure" (2003). Mathematics and Statistics Faculty Publications and Presentations. 238.