Approximate analytical approach in analyzing an orthotropic rectangular plate with a crack

The stretching of a rectangular plate with a crack parallel to one of its edges under the action of a uniformly distributed load is considered. An approximate analytical solution in the form of trigonometric polynomials is constructed by the superposition method using two solutions obtained by the method of initial functions (MIF). The stress-strain state in the neighborhood of the crack sides and the crack tip for orthotropic plates is investigated.