Generalized coupled transient thermoelastic problem of multilayered hollow cylinder with hybrid boundary conditions

The problems of the one-dimensional axisymmetric quasi-static coupled thermoelastic for multilayered hollow cylinder with clamped surface subjected to time-dependent boundary conditions. The formulation begins with the basic equations of thermoelasticity in polar coordinates. The results are obtained employing a method based on a hybrid Laplace transformation matrix similarity transformation and finite difference method. It was shown that the solutions are rapidly convergent. Solutions for the temperature, displacement and thermal stress distributions in both transient and steady state are obtained. The present method can obtain stable solutions at a specific time; thus it is a further concluded that the method and the computing process of the coupled transient thermoelastic problems of multilayered hollow cylinder are powerful and efficient.