Abstract
In this chapter a number of spherically symmetric initial-boundary value problems of the dynamic theory of thermal stresses for a homogeneous isotropic infinite elastic body are solved. The problems include: (i) the dynamic thermal stresses due to an instantaneous temperature distributed on a spherical surface in \({E}^3\), (ii) the dynamic thermal stresses due to a time-dependent spherically symmetric temperature field that satisfies a parabolic heat conduction equation in \({E}^3\), and (iii) the dynamic thermal stresses propagating in an infinite body with a stress free spherical cavity, corresponding to an instantaneous temperature distributed on a spherical surface lying inside the body. To solve the problems a method of the dynamic thermoelastic displacement potential in spherical coordinates is used.
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© 2013 Springer Science+Business Media Dordrecht
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Eslami, R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Solutions to Particular Three-Dimensional Initial-Boundary Value Problems of Elastodynamics. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_10
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DOI: https://doi.org/10.1007/978-94-007-6356-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6355-5
Online ISBN: 978-94-007-6356-2
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