SELECTED PROBLEMS OF LINEAR ASYMMETRICAL THERMOELASTICITY

摘要

The aims of this article are (1) to outline a method of solving the mixed displacement-rotation-temperature initial boundary value problem of a linear homogeneous isotropic micropolar coupled dynamic thermoelasticity taking into account the so-called Schaefer's vector and to illustrate this method by the time-harmonic Green functions for an unbounded space; and (2) to present a method of solving a displacement-rotation-temperature boundary value problem of a linear homogeneous isotropic hemitropic thermoelastostatics taking advantage of the vector field decomposition as proposed by Helmholtz and to illustrate this method by means of the Green function for an unbounded space and the solution of Boussinesq type for a semispace. Both methods are complementary to those used thus far in the literature and lead to existing solutions of asymmetric theories.