A nalytical layer-element method for axisymmetric problem of transversely isotropic multi-layered soils
AI Zhi-yong1, 2, CANG Nai-rui1, 2, CHENG Yi-chong1, 2
1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
Abstract：An analytical layer-element method is proposed to solve the axisymmetric problem of transversely isotropic multi-layered soils. From the basic equations of elasticity and by using the Hankel transform, the transfer matrix of a single soil layer is obtained. Based on the transfer matrix, a precise stiffness matrix of a single soil layer is deduced. By employing the finite element method, we can further get the total stiffness matrix of multi-layered soils. A numerical inversion technique of the Hankel transform is adopted to obtain the exact solutions of axisymmetric problems of transversely isotropic multi-layered soils in the physical domain. Because of no existence of positive functions and the symmetry of the matrix, we can not only simplify the calculation but also improve its accuracy. Finally, a numerical example is given to prove the accuracy of the present results.
艾智勇, 仓乃瑞, 成怡冲. 解析层元法求解层状横观各向同性地基轴对称问题[J]. 岩土工程学报, 2012, 34(5): 863-867.
AI Zhi-yong, CANG Nai-rui, CHENG Yi-chong. A nalytical layer-element method for axisymmetric problem of transversely isotropic multi-layered soils. Chinese J. Geot. Eng., 2012, 34(5): 863-867.