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.
- Bruno A. Boley, Some observations on Saint-Venant’s principle, Proceedings of the Third U.S. National Congress of Applied Mechanics, Brown University, Providence, R.I., June 11-14, 1958, American Society of Mechanical Engineers, New York, 1958, pp. 259–264. MR 0100395
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)
- Bruno A. Boley and Jerome H. Weiner, Theory of thermal stresses, John Wiley & Sons, Inc., New York London, 1960. MR 0112414
- Stefan Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press Inc., New York, N. Y., 1953. MR 0054140
- H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford, at the Clarendon Press, 1947. MR 0022294
- Bruno A. Boley, A method for the construction of Green’s functions, Quart. Appl. Math. 14 (1956), 249–257. MR 80250, DOI https://doi.org/10.1090/S0033-569X-1956-80250-8
B. A. Boley, The application of Saint-Venant’s principle in dynamical problems, J. Appl. Mechanics 22, No. 2, 204-6. (June 1955)
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
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)
B. A. Boley and J. H. Weiner, Theory of thermal stresses, John Wiley & Sons, New York, 1959
S. Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press, New York, 1953
H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, Clarendon Press, Oxford, 1947
B. A. Boley, A method for the construction of Green’s functions, Quart. Appl. Math. 14, No. 3, 249-57 (Oct. 1956)
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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Article copyright:
© Copyright 1960
American Mathematical Society
