Computational Method of Continuous Dislocations Model
The computational method of applying the continuous dislocations model to deformation and fracture of solids is presented. The density of the continuous dislocations is given by the variation of the plastic deformation field or crack opening displacement. The stress field of each dislocation in a bounded body is calculated by the theory of elasticity. The total stress-strain field is obtained by solving a singular integral equation or an initial valued problem, depending on the nature of the constitutive relation of the material. The computational techniques are shown with examples in elastic-plastic problems, crack propagation problems and cracks in composites.
KeywordsStress Field Burger Vector Crack Opening Displacement Singular Integral Equation Dynamic Crack Propagation
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