Abstract
The formulation begins with the basic equations of thermoelasticity in curvilinear circular conical coordinates. A method based on a hybrid Laplace transformation and finite difference method is developed to obtain the two-dimensional axisymmetric quasi-static coupled thermoelastic problems of laminated circular conical shells. 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 powerful and efficient method to solve the coupled transient thermoelastic problems of a circular multilayered conical shell.
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