Dynamic thermal shock in hollow spheres
Author:
T. A. Zaker
Journal:
Quart. Appl. Math. 26 (1969), 503-520
DOI:
https://doi.org/10.1090/qam/99839
MathSciNet review:
QAM99839
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Abstract |
References |
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Abstract: A method is developed for the solution of problems of uncoupled dynamic thermoelasticity with arbitrarily prescribed spherically symmetric temperature fields. The technique is based on an integration theorem for hyperbolic initial-value problems, together with the construction of image temperature fields in regions outside the actual body so as to satisfy stress or displacement boundary conditions at surfaces.
- Eli Sternberg and J. G. Chakravorty, Thermal shock in an elastic body with a spherical cavity, Quart. Appl. Math. 17 (1959), 205–218. MR 107424, DOI https://doi.org/10.1090/S0033-569X-1959-0107424-0
T. Tsui and H. Kraus, Thermal stress-wave propagation in hollow elastic spheres, J. Acoust. Soc. Amer. 37, 730–737 (1965)
- T. A. Zaker, Stress waves generated by heat addition in an elastic solid, Trans. ASME Ser. E. J. Appl. Mech. 32 (1965), 143–150. MR 173423
W. Nowacki, Thermoelaslicity, Ch. 4, Addison-Wesley, Reading, Mass., 1962
R. Courant and D. Hilbert, Methods of mathematical physics, Vol. 2, Ch. 5, Interscience, New York, N. Y., 1962
- H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, at the Clarendon Press, 1947. MR 0022294
E. Sternberg and J. G. Chakravorty, Thermal shock in an elastic body with a spherical cavity, Quart. Appl. Math. 17, 205–218 (1959)
T. Tsui and H. Kraus, Thermal stress-wave propagation in hollow elastic spheres, J. Acoust. Soc. Amer. 37, 730–737 (1965)
T. A. Zaker, Stress waves generated by heat addition in an elastic solid, J. Appl. Mech. 32, 143–150 (1965)
W. Nowacki, Thermoelaslicity, Ch. 4, Addison-Wesley, Reading, Mass., 1962
R. Courant and D. Hilbert, Methods of mathematical physics, Vol. 2, Ch. 5, Interscience, New York, N. Y., 1962
H. S. Carslaw and J. C. Jaeger, Conduction of heal in solids, Ch. 11, Oxford University Press, London, England, 1947
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Article copyright:
© Copyright 1969
American Mathematical Society
