Generalized thermoelasticity for anisotropic media
Authors:
Ranjit S. Dhaliwal and Hani H. Sherief
Journal:
Quart. Appl. Math. 38 (1980), 1-8
MSC:
Primary 73U05
DOI:
https://doi.org/10.1090/qam/575828
MathSciNet review:
575828
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Abstract: The equations of generalized thermoelasticity for an anisotropic medium are derived. Also, a uniqueness theorem for these equations is proved. A variational principle for the equations of motion is obtained.
- M. A. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys. 27 (1956), 240–253. MR 77441
- J. H. Weiner, A uniqueness theorem for the coupled thermoelastic problem, Quart. Appl. Math. 15 (1957), 102–105. MR 88216, DOI https://doi.org/10.1090/S0033-569X-1957-88216-8
H. W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids 15, 299–309 (1967)
N. Fox, Generalized thermoelasticity, Int. J. Engng. Sci. 7, 437–445 (1969)
A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elast. 2, 1–7 (1972)
A. E. Green, A note on linear thermoelasticity, Mathematika 19, 69–75 (1972)
M. A. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys. 27, 240–253 (1956)
J. H. Weiner, A uniqueness theorem for the coupled thermoelastic problem, Quart. Appl. Math. 15, 102–105 (1957)
H. W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids 15, 299–309 (1967)
N. Fox, Generalized thermoelasticity, Int. J. Engng. Sci. 7, 437–445 (1969)
A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elast. 2, 1–7 (1972)
A. E. Green, A note on linear thermoelasticity, Mathematika 19, 69–75 (1972)
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Article copyright:
© Copyright 1980
American Mathematical Society
