THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON THE REFERENCE TEMPERATURE IN GENERALIZED THERMOELASTICITY

The model of the equations of generalized thermoelasticity with two relaxation times 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 developed in [Bahar and Hetnarski, J. Thermal Stresses , vol. 1, pp. 135-146, 1978] is adopted for the solution of one-dimensional problems. The technique is applied to a thermal shock problem, a problem of a layer medium, and a problem for infinite space in the presence of heat sources. Numerical results are illustrated graphically for the problems considered. A comparison was made with the results obtained in the case of temperatureindependent mechanical properties.

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