THE COUPLED THERMOELASTIC ANALYSIS OF THE PLANE STRAIN PROBLEM OF A RECTANGULAR REGION

By assuming that the eifect of the inertia term can be neglected^1,2 the coupled thermoelastic quasistatic analysis of the plane strain problem of a rectangular region with free edges is given in this paper. Methods of harmonic function³. perturbation, Laplace transformation and Fourier series with supplementary terms⁴ are used. The problem is uncoupled by the technique of method of harmonic function and method of perturbation The differentiation of time are reduced to algebraic operations by the laplace transform. The application of the Fourier series with supplementary terms ensures that the arbitrary boundary conditions can be satisfied. The result of example shows that the effect of the coupling term can not be neglected in some cases. The convergence of the given method is also satisfactory.