Overview
In this entry, the classic coupled thermoelasticity model of hollow and solid spheres under radial-symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general forms, where no limiting assumption is used. This generality allows to simulate variety of applicable problems.
Introduction
The classic and generalized theories of coupled thermoelasticity are enormously developed due to their many applications in the advanced structural design problems. Therefore, it is crucial to be able to obtain the deformation and temperature distributions in the structures under thermal shock loads. In the classical coupled problems of thermoelasticity, the first time rate of change of the first invariant of strain tensor appears in the first law of thermodynamics, causing coupling...
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Jabbari, M., Dehbani, H. (2014). Exact Solution for Classic Coupled Thermoelasticity in Spherical Coordinates. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_1005
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DOI: https://doi.org/10.1007/978-94-007-2739-7_1005
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2738-0
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