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应用Mohr-Coulomb、Lade-Duncan、广义Mises、Matsuoka-Nakai、AC-SMP强度准则,以及平面应变条件和相关联流动法则,建立了平面应变条件下土的强度准则。通过分析不同平面应变条件强度准则,确定最大、最小主应力比随土的内摩擦角的变化规律,分析了各强度准则的适用性。当内摩擦角小于30°时,各强度准则的差异性较小;当内摩擦角大于30°时,各强度准则的差异逐渐增大;内摩擦角较大时,广义Mises平面应变强度准则已不适用于描述土的破坏应力条件。同时,考虑黏聚力的作用,将无黏性土平面应变强度准则推广应用于黏性土,根据黄土的平面应变试验结果对各强度准则进行了初步验证,结果表明:Matsuoka-Nakai强度准则适用于描述砂土的强度,Lade-Duncan、AC-SMP强度准则可以很好地描述黄土的强度。
The strength criterion of soil under plane strain condition is established by using Mohr-Coulomb, Lade-Duncan, generalized Mises, Matsuoka-Nakai and AC-SMP strength criterion and plane strain conditions and associated flow laws. By analyzing the strength criterion of different plane strain conditions, the variation rules of maximum and minimum principal stress ratio with soil internal friction angle were determined, and the applicability of each strength criterion was analyzed. When the internal friction angle is less than 30 °, the difference of each strength criterion is small. When the internal friction angle is more than 30 °, the difference of each strength criterion gradually increases. When the internal friction angle is large, the generalized Mises plane strain strength criterion Not suitable for describing soil destructive stress conditions. At the same time, considering the effect of cohesion, the criterion of plane strain strength of non-cohesive soil is extended to cohesive soil. According to the plane strain test results of loess, each strength criterion is preliminarily verified. The results show that the strength criterion of Matsuoka-Nakai Describing the strength of sand, Lade-Duncan, AC-SMP strength criteria can describe the strength of loess well.