Abstract
The problem of the stress state of an unbounded transversely isotropic plate with a noncircular cylindrical hole is solved by expanding functions into Fourier–Legendre series in the thickness coordinate and using the boundary shape perturbation method. The surface of the hole is free from external forces, and the plate is subject to constant torques at infinity. The stress distribution in the vicinity of the hole with elliptical boundary or triangular boundary with rounded corners in the midsurface is analyzed. The dependence of stresses on the relative thickness of the plate and elastic constants is established.
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