In order to capture the influence of the cavity expansion velocity, this paper presents a semianalytical solution for dynamic spherical cavity expansion in modified Cam Clay (MCC) soil. The key problem is solving the six coupled partial differential equations (PDEs) of cavity expansion, in which the dynamic term is considered in the stress equilibrium equation. The similarity transformation technique is used to transform the PDEs into ordinary differential equations (ODEs). Subsequently, the numerical method using the function “ODE45” in MATLAB is selected to solve the ODEs, which allows the stress and excess pore pressure around the expanding spherical cavity wall to be obtained. The proposed semianalytical solution for dynamic spherical cavity expansion was validated by comparting the degenerate solution with the published quasistatic solution for the MCC model. Parametric study was then conducted to capture the influence of the cavity wall velocity on the cavity expansion response. The proposed solution has potential application to geotechnical problems such as dynamic pile driving, the dynamic cone penetration test, and so forth. 相似文献
This study presents an exact solution for drained spherical cavity expansion subjected to constant stress and zero displacement boundary conditions in finite medium. The solution is exact as no simplification is involved in the solution procedure in the plastic region and can be solved as an initial value problem. The effect of finite radial extent on the results of cavity expanding to a certain radius is accounted for through the initial values at the elastic-plastic boundary. A critical state constitutive model with a nonassociated flow rule is adopted. The model parameters from literature are then used in generating the results for cavity expansion in infinite and finite radial extent to highlight the difference. Also, the results are presented in a way that can be used to account for the boundary effect for the interpretation of cone penetration tests conducted in calibration chambers. 相似文献