Boundary integral equations for notch problems in an anisotropic half-space

A crack or a hole embedded in an anisotropic half-plane space subjected to a concentrated force at its surface is analyzed. Based on the Stroh formali sm and the fundamental solutions to the half-plane solid due to point dislo cations, the problem can be formulated by a system of boundary integral equ ations for the unknown dislocation densities defined on the crack or hole b order. These integral equations are then reduced to algebraic equations by using the properties of the Chebyshev polynomials in conjunction with the a ppropriate transformations. Numerical results have been carried out for bot h crack problems and hole problems to elucidate the effect of geometric con figurations on the stress intensity factors and the stress concentration.