Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Thermal shock in an elastic body with a spherical cavity


Authors: Eli Sternberg and J. G. Chakravorty
Journal: Quart. Appl. Math. 17 (1959), 205-218
MSC: Primary 73.00
DOI: https://doi.org/10.1090/qam/107424
MathSciNet review: 107424
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Abstract: This investigation aims at the dynamic thermoelastic response of an infinite medium with a spherical cavity to a sudden uniform change in the temperature of its internal boundary. By means of the Laplace transform, a closed solution to this problem--exact within classical elastokinetics--is obtained in terms of error functions of real and complex arguments. The ensuing temperature stresses are compared with the corresponding quasi-static results.


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DOI: https://doi.org/10.1090/qam/107424
Article copyright: © Copyright 1959 American Mathematical Society


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