平面应变条件下土坡稳定有限元分析

描述岩土材料常采用摩尔 -库仑准则和德鲁克 -普拉格准则 ,前者的计算结果较为可靠 ,后者则更便于数值计算。本文基于非关联流动法则 ,推导出平面应变条件下两种准则相互转化的关系式 ,建立了与摩尔 -库仑准则精确匹配的D -P准则。边坡稳定有限元分析结果表明 :与以往各D -P准则及摩尔 -库仑等效面积圆准则相比 ,本文建议的匹配D -P准则能更好地反映摩尔 -库仑准则的实际特性 ,同时 ,因采用D -P准则的表达形式 ,也方便了编程计算。

The slope stability analysis by FEM under the plane strain condition

The Mohr-Coulomb and Drucker-Prager yield criteria are used widely in geotechnical engineering.Results of the former are reliable,and those of the latter are more efficient in the numerical calculation.This paper deduces the accurate equations which can transform one criterion to another under the plane strain condition. The analysis of an example of slope stability shows that the safe factors obtained from the Mohr-Coulomb criterion being a match for D-P yield criterion provided in this paper is more accurate than those from the other D-P and Mohr-Coulomb equivalent area circle criteria,moreover it is convenient to execute numerical calculation for D-P criterion.