Dynamic torsional response of pre-strained end bearing pile embedded in pre-strained isotropic saturated soil medium.pdf

Appl. Math. Mech. -Engl. Ed., 34(12), 1521–1534 (2013) Applied Mathematics DOI 10.1007/s10483-013-1764-8 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2013 (English Edition) Dynamic torsional response of pre-strained end bearing pile embedded in pre-strained isotropic saturated soil medium∗ Wen-tao HU ()1,2 , Tang-dai XIA ()1,2 , Zhi-qing ZHANG ()3 (1. Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310027, P. R. China; 2. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, P. R. China; 3. Urban Planning College, Zhejiang Shuren University, Hangzhou 310015, P. R. China) Abstract The influence of initial strain state on the dynamic response of an end bearing pile embedded in isotropic saturated soil is investigated through the linearized theory of small elastic perturbation superposed on largely stressed bodies. The governing equations for soil, based on Biot’s poroelasticity theory, are derived in the cylindrical coordinates, and the pile is modeled by using the one-dimensional elastic theory. The analytical solutions of pile impedance, frequency response of both twist angle and time history of velocity response are obtained by using of separation of variables technique. Finally, a parametric study of the influence of initial strains on the torsional impedance, twist angle, and velocity response at the top of the pile is carried out. Key words