Three-Dimensional Thermal-Stress Analysis of Semi-infinite Transversely Isotropic Composites
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Abstract:
By making use of the direct integration method, an exact analysis of the general three-dimensional thermoelasticity problem is performed for the case of a transversely isotropic homogeneous half-space subject to local thermal and force loadings. The material plane of isotropy is assumed to be parallel to the limiting surface of the half-space. By reducing the original thermoelasticity equations to the governing ones for individual stress-tensor components, the effect of material anisotropy in the stress field is analyzed with regard to the feasibility requirement, i.e., the finiteness of the stress field at a distance from the disturbed area. As a result, the solution is constructed in the form of explicit analytical dependencies on the force and thermal loadings for various kinds of transversely isotropic materials and agrees with the basic principles of the continua mechanics. The solution can be efficiently used as a benchmark one for the direct computation of temperature and thermal stresses in transversely isotropic semi-infinite domains, as well as for the verification of solutions constructed by different means.
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This work was supported by Joint Fund of Advanced Aerospace Manufacturing Technology Research (No.U1937601); the second co-author gratefully acknowledges the partial financial support of this research by the budget program of Ukraine “Support for the Development of Priority Research Areas” (No.CPCEC 6451230).