Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Upper bounds and Saint-Venant's principle in transient heat conduction

Author: Bruno A. Boley
Journal: Quart. Appl. Math. 18 (1960), 205-207
MSC: Primary 80.00
DOI: https://doi.org/10.1090/qam/112591
MathSciNet review: 112591
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Abstract: An investigation is carried out on transient heat-conduction problems with prescribed surface temperature, and the validity of Saint-Venant's principle in parabolic boundary-value problems is discussed.

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

  • [1] B. A. Boley, Some observations on Saint-Venant's principle, Proc. III U. S. Natl. Congr. of Appl. Mechanics, A. S. M. E., June 1958, pp. 259-64 MR 0100395
  • [2] B. A. Boley, The determination of temperature, stresses and deflections in two-dimensional thermoelastic problems, J. Aero. Sci. 25, No. 1, 67-75 (Jan. 1956)
  • [3] B. A. Boley and J. H. Weiner, Theory of thermal stresses, John Wiley & Sons, New York, 1959 MR 0112414
  • [4] S. Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press, New York, 1953 MR 0054140
  • [5] H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, Clarendon Press, Oxford, 1947 MR 0022294
  • [6] B. A. Boley, A method for the construction of Green's functions, Quart. Appl. Math. 14, No. 3, 249-57 (Oct. 1956) MR 0080250
  • [7] B. A. Boley, The application of Saint-Venant's principle in dynamical problems, J. Appl. Mechanics 22, No. 2, 204-6. (June 1955)

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DOI: https://doi.org/10.1090/qam/112591
Article copyright: © Copyright 1960 American Mathematical Society

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