A general semi-analytical solution for consolidation around an expanded cylindrical and spherical cavity in modified Cam Clay |
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| Institution: | 1. Key Laboratory of New Technology for Construction of Cities in Mountain Area, College of Civil Engineering, Chongqing University, Chongqing 400045, China;2. State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining & Technology, China;1. Department of Geosciences, Università di Padova, Padova, Italy;2. ISAMGEO Italia S.r.l., Angera, Italy;3. Department of Civil and Environmental Engineering, Duke University, Durham, NC, USA;1. School of Materials Science and Mechanical Engineering, Beijing Technology and Business University, Beijing, China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;3. 3SR Laboratory, Grenoble Alpes University, CNRS, Grenoble INP, Grenoble, France;4. Research Institute of Civil Engineering and Mechanics (GeM), UMR CNRS 6183, Ecole Centrale de Nantes, Nantes, France;1. School of Civil and Environmental Engineering, University of Technology Sydney, Australia;2. Priority Research Centre for Geotechnical Science and Engineering, University of Newcastle, Australia;3. Department of Civil Engineering and Industrial Design, University of Liverpool, UK |
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| Abstract: | This paper presents a general semi-analytical solution for undrained cylindrical and spherical cavity expansion in Modified Cam Clay (MCC) and subsequent consolidation. The undrained cylindrical and spherical cavity expansion response in MCC model is obtained through the similarity solution technique. Then, the subsequent consolidation process around the cavity is governed by the classical partial differential equation for consolidation. Finite Difference Method (FDM) is selected for solving the consolidation equation numerically. The proposed semi-analytical solution is validated by comparing the prediction of the dissipations of the pore pressure with Randolph’s closed-form solution for elastic-perfectly plastic soil. Parametric study shows that G0/p0′, R and M have significant influence on the cavity wall excess pore pressure dissipation curve, while it is not sensitive to the value of ν′. It is also found that the negative pore pressure generates around the expanded cylindrical and spherical cavity wall during the consolidation process when R > 5 for typical Boston blue clay. The developed solution has potential applications in geotechnical problems, such as the pile foundation, in-situ test, tunnel construction, compaction grouting, and so forth. |
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| Keywords: | Semi-analytical solution Cavity expansion Consolidation MCC model |
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