Deformation in a generalized thermoelastic material with voids under the dependence of modulus of elasticity and thermal conductivity on reference temperature

• Autorzy: Kumar, R. , Devi, S.
• Języki publikacji: EN

Abstrakty

EN

The present investigation is to determine the displacement component, change in the volume fraction field and temperature distribution in a generalized thermoelastic half space with voids with a variable modulus of elasticity and thermal conductivity subjected to mechanical and thermal boundary conditions. The formulation is applied to the coupled as well as the generalized theories of thermoelasticity: the Lord-Shulman theory (with one relaxation time), Green-Lindsay theory (with two relaxation times), and Chandrasekhariah-Tzou theory (with dual phase lag). The Laplace transform technique has been used to solve the problem. An application of concentrated (mechanical/thermal) and continuous (mechanical/thermal) sources has been considered to illustrate the utility of the approach. The transformed solutions are inverted using a numerical inversion technique to obtain the displacement component, change in the volume fraction field and temperature distribution in the physical domain and illustrated graphically for a particular model. Various special cases of interest have been deduced from the present investigation.

Słowa kluczowe

PL

transformacja Laplace'a; lepkosprężystość; przenoszenie ciepła

EN

generalized thermoelasticity; thermal relaxation parameters; voids; thermal conductivity; modulus of elasticity; Laplace transform

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 3
• Strony: 747-767
• Opis fizyczny: Bibliogr. 33 poz., wykr.

Twórcy

autor

Kumar, R.

autor

Devi, S.

• Department of Mathematics, Kurukshetra University Kurukshetra-136119 INDIA,

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