Weight functions in two-dimensional bodies with arbitrary anisotropy

Two-dimensional weight functions in arbitrary anisotropic solids under mixed boundary conditions are analyzed by using a previously introduced finite element method. Closed-form fundamental fields in all three fracture modes are given for a semi-infinite crack in a monoclinic solid. Numerical examples of Griffith crack and inclined edge crack in fiber-reinforced composite laminates are presented. The use of fundamental fields for assessing the influence of transformation strains, e.g., thermal strains and swelling strains, on stress intensity factors in piecewise homogeneous anisotropic solids is described. A numerical example of determining the stress intensity factors of a matrix crack in an idealized fiber/matrix configuration due to thermal stress loading is also given.