Weakly-singular, weak-form integral equations for cracks in three-dimensional anisotropic media

摘要: Singularity-reduced integral relations are developed for displacement discontinuities in three-dimensional, anisotropic linearly elastic media. An isolated discontinuity is considered first, and a systematic procedure followed to develop the stress fields induced by discontinuity. The singularity-reduced relation particularly important since it form which allows weakly-singular, weak-form traction equation be readily established. obtained general then specialized an crack dislocations; dislocations introduced emphasize their direct connection corresponding results cracks allow earlier independent findings these two types of put into proper context. Next, equations extended treatment finite domain, pair These can combined obtain final formulation symmetric form, this way they serve as basis Galerkin boundary element method suitable analysis