The Stress State of a Transversely Isotropic Plate with a Curvilinear Hole for a Given Splitting Force on the Boundary Surface

The problem of the stress state of an infinite transversely isotropic plate with curved (noncircular) hole is solved by using the method of expanding the unknown functions into Fourier series of Legendre polynomials andthe boundary-shape perturbation method. Balanced pair of forces tending to split or compress the plate along the midplane is given on the hole boundary surface. The stress state of the plate withsquare and triangular holes is analyzed.