Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 147, Issue 1, Pages 169-189Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0096-3003(02)00660-4
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The model of the equations of generalized-thermoelasticity with thermal relaxation in an isotropic elastic medium with temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of reference temperature. The state space approach is adopted for the solution of one-dimensional problems in the absence or presence of heat sources. The Laplace transform technique is used. A numerical method is employed for the inversion of the Laplace transforms. Numerical results for the stress distribution are given and illustrated graphically for each problem. A comparison is made with results obtained in case of temperature-independent modulus of elasticity. (C) 2002 Elsevier Inc. All rights reserved.
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