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Generalized thermoelastic infinite medium with spherical cavity subjected to moving heat source

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This paper deals with a problem of thermoelastic interactions in an isotropic unbounded medium with spherical cavity due to the presence of moving heat sources in the context of the linear theory of generalized thermoelasticity with one relaxation time. The governing equations are expressed in the Laplace transform domain and solved in that domain. The inversion of the Laplace transform is done numerically using the Riemann-sum approximation method. The numerical estimates of the displacement, temperature, stress, and strain are obtained for a hypothetical material. The results obtained are presented graphically to show the effect of the heat source velocity and the relaxation time parameters on displacement, temperature, stress, and strain.

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  1. Hamdy M. Youssef

    Present address: Faculty of Engineering, PO.5555, Umm Al-Qura University, Makkah, Saudi Arabia

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  1. Mathematical Department, Faculty of Education, Alexandria University, Alexandria, Egypt

    Hamdy M. Youssef

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  1. Hamdy M. Youssef
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Correspondence to Hamdy M. Youssef.

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Youssef, H.M. Generalized thermoelastic infinite medium with spherical cavity subjected to moving heat source. Comput Math Model 21, 212–225 (2010). https://doi.org/10.1007/s10598-010-9066-6

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  • DOI: https://doi.org/10.1007/s10598-010-9066-6

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