Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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
Full-text PDF Free Access

Abstract | References | Additional Information

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.

References [Enhancements On Off] (What's this?)

  • [1] E. Sternberg and J. G. Chakravorty, Thermal shock in an elastic body with a spherical cavity, Quart. Appl. Math. 17, 205-218 (1959) MR 0107424
  • [2] T. Tsui and H. Kraus, Thermal stress-wave propagation in hollow elastic spheres, J. Acoust. Soc. Amer. 37, 730-737 (1965)
  • [3] T. A. Zaker, Stress waves generated by heat addition in an elastic solid, J. Appl. Mech. 32, 143-150 (1965) MR 0173423
  • [4] W. Nowacki, Thermoelaslicity, Ch. 4, Addison-Wesley, Reading, Mass., 1962
  • [5] R. Courant and D. Hilbert, Methods of mathematical physics, Vol. 2, Ch. 5, Interscience, New York, N. Y., 1962
  • [6] H. S. Carslaw and J. C. Jaeger, Conduction of heal in solids, Ch. 11, Oxford University Press, London, England, 1947 MR 0022294

Additional Information

DOI: https://doi.org/10.1090/qam/99839
Article copyright: © Copyright 1969 American Mathematical Society

American Mathematical Society