Analytical layer element analysis for non-axisymmetric problem of multilayered thermoelastic media

Abstract

This paper obtained the analytical layer element solution for the non-axisymmetric problem of multilayered thermoelastic media. Firstly, starting from the governing equations, the relationship between the generalized stress and displacement vectors on the surface and bottom of a single-layered medium is obtained by applying Hankel transform and Fourier series expansion. Then, this relationship is extended to multilayered media by introducing the interlaminar continuity condition, and the total stiffness matrix equation is obtained. By combining the boundary conditions at both ends, the solution of the non-axisymmetric problem in the transformed domain can be obtained. The solution in physical domain is achieved by applying the Hankel transform inversion. Finally, the theory and program are verified by several examples, and the sensitivity analysis (SA) is taken on the parameters of the media. The proposed method has the advantages of high efficiency and stability in calculation.