Contact problems for a transversely isotropic layer

Two spatial, one axisymmetric and two plane contact problems are considered for a transversely isotropic elastic layer with face subjected to sliding support. In the spatial problems, planes of isotropy may be either parallel or perpendicular faces. case axial symmetry, By using Fourier integral transforms, reduced equations respect pressure, limiting cases which well-known corresponding an layer. For solving unknown domains, nonlinear boundary method is used, make it possible determine pressure domain simultaneously. To extract kernel principal part problem equation when faces, used half-space obtained earlier without quadratures. The axially symmetric Fredholm second kind help pair equations, mechanical quadratures numerical solutions. Plane solved in closed form based on special approximations symbols. accuracy grows as anisotropy increases. Here, level can characterized by difference between ratio characteristic roots unit because value corresponds case. Mechanical characteristics well errors calculated materials.