Some Problems of Thermoelastic Equilibrium of a Rectangular Parallelepiped in Terms of Asymmetric Elasticity

An effective solution of a number of boundary value and boundary contact problems of thermoelastic equilibrium is constructed for a homogeneous isotropic rectangular parallelepiped in terms of asymmetric and pseudo-asymmetric elasticity (Cosserat's continuum and pseudo- continuum). Two opposite faces of a parallelepiped are affected by arbitrary surface disturbances and a stationary thermal field, while for the four remaining faces symmetry or anti-symmetry conditions (for a multilayer rectangular parallelepiped nonhomogeneous contact conditions are also defined) are given. The solutions are constructed in trigonometric series using the method of separation of variables.

Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces

An exact solution of the boundary value problems of thermoelastic equilibrium of a homogeneous isotropic rectangular parallelepiped is constructed. The parallelepiped is affected by a stationary thermal field and surface disturbances, in particular, on each side of the rectangular parallelepiped the following parameters are defined: a normal component of the displacement vector and tangential stresses (nonhomogeneous symmetry conditions) or normal stress and tangential stresses (nonhomogeneous antisymmetry conditions). The solution of the problems is constructed in series using the method of separation of variables.