Point Heat Source Induced Thermoelastic Responses of the Cross-Anisotropic Strata

Abstract:

This work presents the closed-form solutions of the long-term thermal stresses, displacements and temperature increment of the cross-anisotropic strata subjected to a point heat source at great depth. The medium is initially modeled with cross-anisotropic mechanical and thermal properties. Under this assumption, the properties of the materials are different between the planes on and normal to the isotropic plane. Using Hankel and Fourier transforms, this paper presents the analytic solutions to soils or rocks affected by the point heat source, such as the repositories of nuclear wastes. The general solutions are further simplified to cases of materials with isotropic mechanical properties, and they are finally extended to fully isotropic in each property of the strata. Based on numerical results, the thermal stresses, displacements and temperature change of the thermoelastic half space are significantly affected by the anisotropy of mechanical and thermal properties of the strata.

• Periodical: Applied Mechanics and Materials (Volumes 638-640)
• Pages: 517-529
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.638-640.517
• Online since: September 2014
• Authors: John C.C. Lu*, Ming Qi Chen, Feng Tsai Lin
• Keywords: Closed-Form Solution, Cross-Anisotropic Strata, Full Space, Point Heat Source

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