Influence of lateral initial pressure on axisymmetric wave propagation in hollow cylinder based on first power hypo-elastic model

HU Wen-tao(胡文韬)^{1, 2}, XIA Tang-dai(夏唐代)^{1, 2}, CHEN Wei-yun(陈炜昀)^{1, 2}

(1. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education (Zhejiang University), Hangzhou 310058, China;
2. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China)

Abstract:Influence of identical applied initial pressures on the radial surfaces of a hollow cylinder which is compose of materials with first power hypo-elastic constitutive model was investigated. The basic equations of the problem were built up based on the framework of piecewise homogeneous body model with the use of three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB). With the method proposed previously, this problem was then solved numerically. Moreover, the dispersion group velocity of the lowest order mode with different initial pressures was also studied. It can be concluded that the initial pressure and the geometry parameters will induce considerable changes of different degrees in dispersive relation between phase velocity and wave number in opposite trend (positive in initial pressure and negative in thickness).

Key words:initial pressure; TLTEWISB; first power hypo-elastic model; dispersive relation