A Refined Theory of Thermoelastic Plates Posting Inside Winkler Foundation Soil Under Steady Temperature

Cheng´s refined theory is extended to investigate the thermoelastic plate posting inside Winkler Foundation under steady temperature, and the refined analyses for the thermoelastic plates posting inside the Winkler Foundation under steady temperature is deduced systematically and directly from linear thermoelastic theory and Lur´e method. Expressions are introduced for all the displacements and stress components in term of the mid-plane displacement and its derivatives. From boundary conditions, the refined equations of thermoelastic plates posting inside the Winkler Foundation under steady temperature are given without ad hoc assumptions. Using Taylor Series of the trigonometric functions and then dropping all the terms associated with the higher-order terms, we obtain the approximate expressions of random precision. To illustrate the application of the theory developed, one example is examined.