两向不等压圆形隧洞弹塑性解析分析

doi:10.13722/j.cnki.jrme.2017.1307

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Abstract The elasto-plastic analysis for surrounding rock mass of circular tunnels has always been a concerned problem of rock mechanics. Analytical solutions for determination of the plastic zone in the vicinity of a circular tunnel subject to non-axisymmetric stresses are presented based on the Mohr-Coulomb failure criterion. The conformal transformation method of complex variable function is employed to map the non-circular elastic regions in the physical plane to the outer regions of the unit circle in the image plane，and the problem of determining the elasto-plastic interface is transformed into solving the coefficients of the mapping function. The key point is to expand the complex combined stress expressions of the elastic-plastic interface into the Fourier series. The coefficients of the series are determined by solving the complex linear equations. Then，the nonlinear equations with the coefficients of the mapping function are established. The optimization method of the mixed penalty function is used to determining the elasto-plastic interface. The correctness of the method is verified by examples，and the rule for the impact of the cohesions，the internal friction angles and the lateral pressure coefficients on the shape of plastic zone is analyzed.

Key words： rock mechanics;non-hydrostatic stress;circular tunnel;non-axisymmetric;shape of the plastic zone;Mohr-Coulomb failure criterion

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	LU Aizhong
	ZHANG Xiaoli
	WANG Shaojie

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LU Aizhong,ZHANG Xiaoli,WANG Shaojie. Analytic method for elasto-plastic analysis of circular tunnels under non-axisymmetric stresses#br#[J]. , 2018, 37(1): 14-22.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2017.1307 OR http://www.rockmech.org/EN/Y2018/V37/I1/14

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