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SAINT-VENANT'S PRINCIPLE FOR A MICROPERIODIC COMPOSITE THERMOELASTIC SEMISPACE: THE DYNAMICAL REFINED AVERAGE THEORY.
- Source :
-
Journal of Thermal Stresses . Nov2002, Vol. 25 Issue 11, p1065-1079. 15p. - Publication Year :
- 2002
-
Abstract
- A Saint-Venant's principle associated with a one-dimensional dynamic coupled thermoelastic effective modulus theory (EMT) for a microperiodic layered semispace was presented in J. Thermal Stresses, vol. 23, pp. 1–14, 2000. It was shown there that a thermoelastic energy associated with a solution to an initial boundary value problem of the theory decays exponentially as a distance x from the thermomechanical load region goes to infinity and that its decay length depends on the time t, an effective velocity <c1*>, an effective time unit <T*> , and an effective thermoelastic coupling parameter <ε*>. In the present article the Saint-Venant's principle is extended to include a refined averaged theory (RAT) for a microperiodic layered thermoelastic semispace in which a microstructural length is taken into account (see [IFTR Report #25, pp. 1–158, 1995]). It is shown that for such an extended theory, a similar exponential decay estimate for a thermoelastic energy holds true. In the refined estimate the thermoelastic energy depends on a number of microstructural parameters while its decay length is independent of these parameters; and the decay length for small (large) times is comparable to that of a pure thermal (elastic) energy for a rigid (elastic) semispace for every time t > 0 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *THERMOELASTICITY
*SAINT-Venant's principle
Subjects
Details
- Language :
- English
- ISSN :
- 01495739
- Volume :
- 25
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of Thermal Stresses
- Publication Type :
- Academic Journal
- Accession number :
- 7516045
- Full Text :
- https://doi.org/10.1080/01495730290074649