Solving the Third Homogeneous Boundary-Value Problem of the Deformation of a Transversely Isotropic Plate with a Curved Hole Under Uniform Tension

The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal displacement and tangential stresses are zero at the hole edge. The numerical data are analyzed