Fast-sum method for the elastic field of three-dimensional dislocation ensembles

摘要: The elastic field of complex shape ensembles dislocation loops is developed as an essential ingredient in the dynamics method for computer simulation mesoscopic plastic deformation. Dislocation are sorted into individual loops, which then divided segments represented parametrized space curves. Numerical solutions presented fast numerical sums relevant variables (i.e., displacement, strain, stress, force, self-energy, and interaction energy). Gaussian quadratures utilized to solve equations linear elasticity infinite isotropic medium. accuracy verified by comparison results analytical typical prismatic slip loops. shown be highly accurate, computationally efficient, numerically convergent number quadrature points increased on each loop. Several examples applications calculations simple loop geometries given crystals. effect crystal surfaces redistribution demonstrated superposition a finite-element {ital image force} computed results. {copyright} 1999} American Physical Society}