结构性黄土排水柱孔扩张问题弹塑性解析

doi:10.13722/j.cnki.jrme.2020.0331

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Abstract To investigate geotechnical engineering problems such as in-situ soil testing，driven piles and splitting grouting in loess areas，a rigorous semi-analytical solution is derived for drained expansion of a cylindrical cavity under the premise of strict adherence to the definitions of mean effective stress and deviatoric stress，based on the modified Cam-clay model of structured loess. The analytical solutions of the stress and displacement in the elastic zone around the cavity are obtained by using the small deformation theory，and with the aid of the large strain theory and an auxiliary variable，the problem of cavity expansion is transformed into an initial value problem of a system of first-order ordinary differential equations in terms of the Lagrangian scheme in the plastic zone around the cavity. The rigorous semi-analytical solutions of the components of the effective stress and the specific volume are derived based on the elastic-plastic boundary conditions. The results show that the degenerate solutions developed are in good agreement with the existing analytical solutions and the calculation results considering the soil structure are close to in situ test results in the loess area，indicating the rationality of the analysis method and calculation results. The soil structure has a significant effect on the plastic zone radius，the stress component and the specific volume of the plastic zone. The strength of the soil can be increased by taking into account the effects of the soil structure. The degree of softening of the soil can be reduced when the over-consolidation ratio is relatively large. The developed solution can not only provide a reference for the calculation of the lateral resistance of driven piles，splitting grouting pressure and in-situ test parameters，but also provide theoretical verification basis for the simplified calculation of such kind of engineering.

Key words： soil mechanics cylindrical cavity expansion modified Cam-clay model of structured loess over- consolidation ratio numerical solution

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	Articles by authors
	ZHOU Pan1
	2
	LI Jingpei1
	2
	LI Liang1
	2
	XIE Feng1
	2

Cite this article:

ZHOU Pan1,2,LI Jingpei1, et al. Elastic-plastic solution for drained cylindrical cavity expansion in structured loess[J]. , 2021, 40(1): 175-186.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.0331 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I1/175

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