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Generalized Thermoelastic Medium with Temperature-Dependent Properties for Different Theories under the Effect of Gravity Field
Faculty
Science
Year:
2013
Type of Publication:
Article
Pages:
521-537
Authors:
Othman, Mohamed I. A, Elmaklizi, Yassmin D, Said, Samia M
DOI:
10.1007/s10765-013-1425-z
Journal:
INTERNATIONAL JOURNAL OF THERMOPHYSICS SPRINGER/PLENUM PUBLISHERS
Volume:
34
Research Area:
Thermodynamics; Chemistry; Mechanics; Physics
ISSN
ISI:000319615500012
Keywords :
Diffusion, Gravity, Green-Lindsay theory, Lord-Shulman theory, Normal mode analysis, Temperature dependence, Thermoelasticity
Abstract:
The problem of the generalized thermoelastic medium for three different theories under the effect of a gravity field is investigated. The Lord-Shulman (L-S), Green-Lindsay (G-L), and classical-coupled (CD) theories are discussed. The modulus of the elasticity is given as a linear function of the reference temperature. The exact expressions for the displacement components, temperature, and stress components are obtained by using normal mode analysis. Numerical results for the field quantities are given in the physical domain and illustrated graphically in the absence and presence of gravity. A comparison also is made between the three theories for the results with and without a temperature dependence.
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