This paper deals with quasi-static coupled thermoelastic problems for multilayered spheres. Using the Laplace transform with respect to time, the general solutions of the governing equations are obtained in transform domain. The solution is obtained by using the matrix similarity transformation and inverse Laplace transform. We obtain solutions for the temperature and thermal deformation distributions for a transient state. It is demonstrated that the computational procedures established in this paper are capable of solving the generalized thermoelasticity problem of multilayered spheres.
"Coupled Problem of Thermoelasticity for Multilayered Spheres with Time-Dependent Boundary Conditions,"
Journal of Marine Science and Technology: Vol. 12:
2, Article 4.
Available at: https://jmstt.ntou.edu.tw/journal/vol12/iss2/4