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| Vibration Characteristic of a Spherical cavity in Fractional Derivative Viscoelastic Nearly Saturated Soil |
| YANG Xiao1 WEN Min-Jie1 GAO Hua-xi 2 |
| 1. Department of Civil Engineering, Shanghai University, Shanghai, 200072, China2. School of Naval Architecture and Civil Engineering, Zhejiang Ocean University, Zhoushan 316004, China |
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Abstract By using the analytical method, the steady state responses of a spherical cavity in nearly saturated fractional derivative viscoelastic soil are investigated subject to harmonic axisymmetric load or interior water pressure in the frequency domain. The soil skeleton is treated as a viscoelastic medium with fractional derivative constitutive relations. Based on the Biot’s theory, the analytical solutions for the displacement, stress and pore water pressure of the spherical cavity in the nearly saturated fractional derivative viscoelastic soil for the partial permeable condition are obtained by the potential functions. The expressions of the undetermined coefficients are derived based on the continuity conditions. On the basis, the dynamic responses of the spherical cavity in the nearly saturated fractional derivative viscoelastic soil are analyzed for different parameters of the soil. It is shown that the influences of the relative permeability coefficient on the dynamic responses have obvious differences between the conditions of harmonic axisymmetric load and interior water pressure. The vibration characteristics of the spherical cavity in nearly saturated soil are described reasonably by the fractional derivative model.
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Received: 08 November 2011
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2013, Vol. 32 
