Temperature Dependence of the Elastic Modulus in Three-Dimensional Generalized Thermoelasticity with Dual-Phase-Lag Effects
- Authors: Sarkar N.1
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Affiliations:
- Department of Applied Mathematics, University of Calcutta
- Issue: Vol 28, No 2 (2017)
- Pages: 208-227
- Section: Article
- URL: https://journal-vniispk.ru/1046-283X/article/view/247598
- DOI: https://doi.org/10.1007/s10598-017-9358-1
- ID: 247598
Cite item
Abstract
A three-dimensional problem for a homogeneous isotropic thermoelastic half-space solids with temperature-dependent mechanical properties subject to a time-dependent heat sources on the boundary of the half-space which is traction free is considered in the context of the generalized thermoelasticity with dual-phase-lag effects. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations. Numerical results for the temperature, thermal stresses and displacement distributions are represented graphically and discussed. A comparison is made with the result obtained in the absence of the temperature dependent elastic modulus. Various problems of generalized thermoelasticity and conventional coupled dynamical thermoelasticity are deduced as special cases of our problem.
About the authors
N. Sarkar
Department of Applied Mathematics, University of Calcutta
Author for correspondence.
Email: nsarkarindian@gmail.com
India, 92, A.P.C. Road, Kolkata, 700 009
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