期刊
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
卷 43, 期 9, 页码 1686-1703出版社
WILEY
DOI: 10.1002/nag.2909
关键词
dynamic; modified Cam Clay model; semianalytical solution; spherical cavity expansion
资金
- National Natural Science Foundation of China [51708063, 51420105013]
- Fundamental Research Funds for the Central Universities [2018CDQYTM0045]
- Chongqing Research Program of Basic Research and Frontier Technology [cstc2017jcyjAX0261]
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.
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