The Wu-Wentzcovitch semi-analytical method (SAM) is a concise and predictive formalism to calculate the high-pressure high-temperature (high-PT) thermoelastic tensor (Cij) of crystalline materials. This has been successfully applied materials across different crystal systems in conjunction with ab initio calculations static elastic coefficients phonon frequencies. Such results have offered firs...

Three-dimensional exact solutions for temperature and thermoelastic stresses in multilayered anisotropic plates are derived advanced boundary-value problems with general boundary conditions. The extended Stroh formalism is formulated to include the thermal coupling Eringen nonlocal elasticity theory that captures small scale effects. simply supported structures subjected time-harmonic distribut...

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and Padé approximation to obtain closed form solutions of nonlinear coupled systems of partial differential equations. Two test examples are given; the coupled nonlinear system of Burger equations and the coupled nonlinear system in one dimensional thermoelasticity. The results o...