A technique for elastic boundary value problem solutions for defects in solids is developed. The method is based on the introduction of virtual circular dislocation-disclination loops distributed continuously for satisfying the prescribed boundary conditions at free surfaces and interfaces. The set of dislocation-disclination loops which may be used as virtual ones is considered. The elastic fields and energies of the selected dislocation and disclination loops are presented. The method of the virtual circular dislocation-disclination loops is then applied to obtain the elastic fields and energies of a spherical dilatating inclusion in a plate and a half-space, of a prismatic dislocation loop parallel to free surfaces of a plate and a half-space, and the elastic fields of a twist disclination loop coaxial to a cylinder.

Issue Section:
Technical Papers
Keywords:
boundary-value problems, disclinations, dislocation loops, elasticity
Topics:
Boundary-value problems, Dislocations, Stress
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