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Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K 0-consolidated clay
Abstract This paper presents an anisotropically elasto-plastic solution to the undrained expansion of a cylindrical cavity in -consolidated clay. The elasto-plastic constitutive relationship following the soil yielding process is described by the -based modified Cam-clay (-MCC) model, which can properly reflect the anisotropic effects on the soil behaviour. Following the large strain deformation theory, the problem is reduced to solving a system of first-order ordinary differential equations in the plastic region. The semi-analytical solutions to the radial, tangential and vertical effective stresses are obtained using the Lagrangian method and the elastic–plastic (EP) boundary conditions. In addition, based on the semi-analytical results, an approximate closed-form solution is presented for practical purposes. Extensive comparisons with the isotropic constitutive model-based solutions have been performed to illustrate the effects of the initial stress anisotropy and initial stress-induced anisotropy on the cavity expansion and the stress distributions. The present solution incorporates the anisotropic properties of the natural -consolidated clay, thereby providing a more realistic theoretical basis for the practical engineering problems such as the pile installation and the pressuremeter tests.
Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K 0-consolidated clay
Abstract This paper presents an anisotropically elasto-plastic solution to the undrained expansion of a cylindrical cavity in -consolidated clay. The elasto-plastic constitutive relationship following the soil yielding process is described by the -based modified Cam-clay (-MCC) model, which can properly reflect the anisotropic effects on the soil behaviour. Following the large strain deformation theory, the problem is reduced to solving a system of first-order ordinary differential equations in the plastic region. The semi-analytical solutions to the radial, tangential and vertical effective stresses are obtained using the Lagrangian method and the elastic–plastic (EP) boundary conditions. In addition, based on the semi-analytical results, an approximate closed-form solution is presented for practical purposes. Extensive comparisons with the isotropic constitutive model-based solutions have been performed to illustrate the effects of the initial stress anisotropy and initial stress-induced anisotropy on the cavity expansion and the stress distributions. The present solution incorporates the anisotropic properties of the natural -consolidated clay, thereby providing a more realistic theoretical basis for the practical engineering problems such as the pile installation and the pressuremeter tests.
Anisotropically elasto-plastic solution to undrained cylindrical cavity expansion in K 0-consolidated clay
Li, Lin (author) / Li, Jingpei (author) / Sun, De’an (author)
Computers and Geotechnics ; 73 ; 83-90
2015-11-26
8 pages
Article (Journal)
Electronic Resource
English
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