Abstract.
The model of the equations of generalized linear micropolar thermoelasticity with two relaxation times in an isotropic medium with temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of reference temperature. Laplace and exponential Fourier transform techniques are used to obtain the solution by a direct approach. The integral transforms have been inverted by using a numerical technique to obtain the temperature, displacement, force and couple stress in the physical domain. The results of these quantities are given and illustrated graphically. A comparison is made with results obtained in case of temperature-independent modulus of elasticity. The problem of generalized thermoelasticity has been reduced as a special case of our problem.
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Aouadi, M. Temperature dependence of an elastic modulus in generalized linear micropolar thermoelasticity. Z. angew. Math. Phys. 57, 1057–1074 (2006). https://doi.org/10.1007/s00033-005-0055-0
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DOI: https://doi.org/10.1007/s00033-005-0055-0