A weakly-singular SGBEM for analysis of cracks in 3D anisotropic media

摘要: Abstract A weakly-singular, symmetric Galerkin boundary element method (SGBEM) is developed for analysis of fractures in three-dimensional, anisotropic linearly elastic media. The constitutes a generalization that by Li et al. [S. Li, M.E. Mear, L. Xiao, Symmetric weak-form integral equation three-dimensional fracture analysis, Comput. Methods Appl. Mech. Engrg. 151 (1998) 435–459] isotropic media, and based upon pair displacement traction equations recently established Rungamornrat Mear [J. Rungamornrat, Weakly-singular, cracks Int. J. Solids Struct. 45 (2008) 1283–1301]. formulation involves only weakly-singular kernels and, as consequence, standard C 0 elements can be employed the numerical discretization. possess relatively simple form (for general anisotropy) which an equatorial line like associated with fundamental solution. Despite their form, it still necessary to evaluate these efficiently implementation; do so, certain symmetry properties specific material type under consideration are exploited, yet accurate interpolation strategy introduced. Another important aspect treatment use special crack-tip allows highly mixed-mode stress intensity factor data extracted function position along crack front. This was originally introduced here extended allow evaluation factors generally “extra” degrees freedom nodes front (with quantities being directly related factors), capable representing asymptotic behavior vicinity sufficiently high order large utilized. Various examples treated unbounded domain both embedded surface-breaking finite domain, demonstrated very results obtained even coarse meshes.