A Variational Boundary Integral Method for the Analysis of Three-Dimensional Cracks of Arbitrary Geometry in Anisotropic Elastic Solids

摘要: A variational boundary integral method is developed for the analysis of three-dimensional cracks arbitrary geometry in general anisotropic elastic solids. The crack modeled as a continuous distribution dislocation loops. energy solid obtained from known expression interaction pair crack-opening displacements, which are related to loops and their Burgers vectors, then determined by minimizing corresponding potential solid. In contrast previous methods, this approach results symmetric system equations with milder singularities type I/R, facilitate numerical treatment. By employing six-noded triangular elements displacing midside nodes quarter-point positions, opening profile near front endowed accurate asymptotic behavior. This enables direct computation stress intensity factors displacements. performance assessed an elliptical transversely isotropic It also illustrates that conventional average schemes constants furnish quite inaccurate when material significantly anisotropic.