Some problems of thermoelastisity of micropolar thin bars and plates

In the present work the applied, two-dimensional micropolar theory of thermoelasticity for plates and the applied, one-dimensional micropolar theory of thermoelasticity for bars are constructed on the basis of three-dimensional equations of the asymmetric theory of elasticity in a sphere of three-dimensional thin plate (in a cylinder of a small height) and two-dimensional equations of asymmetric theory of thermoelasticity in a sphere of thin rectangle with the help of the asymptotic method. The micropolar boundary layers are constructed and studied. The problem of mating of the interior problem (of the applied theory) and the boundary layer problem is studied in the result of which the boundary conditions of both the applied theory of micropolar plates and bars and of boundary layer problems are obtained. Depending on values of elastic material constants, two applied theories are constructed - the applied theory of micropolar plates (bars) with independent fields of displacement and rotation and the theory with the constraint rotation. Some definite problems are studied on the basis of the constructed applied theories of micropolar thermoelastic plates and bars. The studied problems are brought to the final numerical results on the basis of which the effects related to a micropolar material are discussed. The spheres of applicability of the constructed theories of micropolar plates and bars are discussed too