Nonlinear time-dependent thermoelastic response in a multilayered anisotropic medium

A time-dependent nonlinear thermoelastic problem of a multilayered anisotropic medium with a certain specific form of temperature-dependent material properties in generalized plane deformation is analyzed by flexibility/stiffness matrix technique in the article. The closed-form general solutions of temperature, displacements, and stresses can then be obtained in the Fourier and the Laplace transform domains by using the technique of Kirchhoff transformation. The effects of temperature-dependent material properties on the distributions of temperature and thermal stresses are also calculated and discussed.