Integral equations in the problem of bending transversely isotropic plates with cut

Abstract

An infinite transversely isotropic plate with a slit being in equilibrium under forces applied to the plate boundaries in infinity as well as concentrated forces and bending moments applied near the split is under consideration. By using the fundamental solutions for the transversely isotropic plate, the integral representations for bending moments were obtained. The numerical method for solving integral equations has been applied. The load values near the split have been calculated. That will allow us to analyze the behavior of brittle solids according to the elastic constants of materials and effective forces.