考虑双剪中主应力影响系数的D-P系列屈服准则研究

doi:10.13722/j.cnki.jrme.2020.1144

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Abstract The yield surface of the double-shear unified strength theory considering the influence of the intermediate principal stress is not smooth and hence，is not conducive to numerical analysis. In order to solve the problem of the singularity of the Mohr-Coulomb yield surface，some scholars derived a series of D-P yield criteria that have a special positional relationship with the Mohr-Coulomb yield surface. In order to solve the corner singularity problem of the double-shear unified strength theory，this paper refers to the derivation process of the traditional D-P series yield criterion and derives the D-P series yield criterion considering the influence coefficient of the intermediate principal stress. According to the double-shear unified strength theory，there are 12 limit lines on the plane，which intersect in pairs on the plane to form a dodecagon that is symmetric about the three principal stress axes. There are six circles that have a special relationship with these limit lines，and these circles are cones in space that have a special positional relationship with the yield surface of the double-shear unified strength theory. According to theoretical analysis and mathematical derivation，the yield function expressions of the six cone surfaces are obtained，namely DDP1，DDP2，DDP3，DDP4，DDP5 and DDP6. Using the classic strength reduction method，the stability coefficients of a homogeneous slope and a non-homogeneous slope under the D-P yield criterion considering b are calculated separately. The results show that the D-P yield criterion considering b can be applied to slope stability analysis and compared with the traditional D-P series yield，can give full play to the strength potential of the material.

Key words： slope engineering;D-P series yield criterion;&pi plane limit line;slope stability analysis;strength reduction method

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	GAO Jiangping
	YANG Jiqiang
	SUN Xin

Cite this article:

GAO Jiangping,YANG Jiqiang,SUN Xin. Research on D-P series yield criteria considering the influence coefficient of double shear intermediate principal stress[J]. , 2021, 40(6): 1081-1091.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.1144 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I6/1081

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