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在经典弹塑性理论框架下,根据SMP(Spatially Mobilized Plane)破坏准则并结合变换应力方法,通过引入准弹性体积模量的概念,建立了用增量法表示的考虑土渐近状态特性的三维应力应变关系式.针对三轴压缩应力条件,给出了相应的简化应力应变增量矩阵,以三轴压缩试验中的常规三轴压缩、不排水剪切和控制应变增量比的3种应力路径为例,推导出了便于应用的应力应变增量关系式.最后,利用文中的公式进行了预测分析和试验对比,结果表明:新推导的公式能方便地预测考虑渐近状态特性下土的应力应变关系,并能合理描述试验结果.
Under the classical elastic-plastic theory, according to SMP (Spatially Mobilized Plane) failure criterion combined with transformation stress method, the concept of incremental elastic modulus considering asymptotic behavior of soil is established by introducing the concept of quasi-elastic bulk modulus Strain relation, the simplified stress-strain increment matrix is given for triaxial compressive stress conditions. Based on the three stress paths of conventional triaxial compression, undrained shear and controlled strain increment ratio in triaxial compression test, As an example, the relationship between stress and strain increment is derived.Finally, the predictive analysis and experimental comparison are carried out by using the formulas in the paper. The results show that the newly derived formula can easily predict the stress of soil under the asymptotic behavior Strain relationship, and can reasonably describe the test results.