Some boundary-value problems of the elastic and thermoelastic equilibrium of wedge-shaped bodies

An exact solution is constructed of some boundary-value problems of the thermoelastic and elastic equilibrium of wedge-shaped bodies, bounded by two infinite or finite coordinate planes, that is, by the faces of a dihedral angle, with rotationally-symmetric orthogonal coordinates. In the case when the wedge is infinite, a steady temperature field and corresponding surface perturbations act on it. If the wedge-shaped body occupies a finite domain, bounded by the coordinate surfaces of one of the rotationally-symmetric systems of coordinates, then surface perturbations are specified on its faces (when there is no temperature field) and homogeneous conditions of a special form are satisfied on the remaining part of the surface. The surface perturbations on each of the two faces correspond to the specification: (a) displacements, (b) tangential displacements and a normal stress and (c) shear stresses and a normal displacement.