在塑性力学的框架范围内研究弹塑性本构模型，分析软岩的强度变形特性。结果表明，软岩的黏聚力和内摩擦角是塑性应变的函数，在此基础上，提出双曲线型函数的发挥内摩擦角以及指数和多项式混合型的发挥黏聚力函数模型。基于统一强度理论和材料强度的发挥特性，确定软岩的屈服函数，采用非相关联流动法则确定塑性势函数，建立软岩的弹塑性本构模型并对其进行验证，结果表明所建立的本构模型可以较好地预测软岩的力学行为特性。分析所建立本构模型的优点，结果显示所建立的本构模型为硬化/软化混合型本构模型。进一步扩展更具有普遍性的硬化/软化驼峰型发挥内摩擦角函数。
A new elasto-plastic constitutive model is presented in the framework of plasticity theory. The strength characteristics of a diatomaceous soft rock is investigated. The friction angle and cohesion of soft rock are mobilized as a function of plastic strain. A hyperbolic hardening function for the mobilized friction and a mixed parabolic and exponential equation for the mobilized cohesion are proposed. In view of the unified strength theory and the mobilizations of strength components, a yield function is given. A plastic potential function is determined by using the non-associated plastic flow rule. An elasto-plastic constitutive model is developed and verified. The results indicate that the proposed model can predict the behavior of soft rock accurately. The advantages of the proposed constitutive model are analyzed. The evidences support that the proposed constitutive model is a mixed hardening/softening model. A hump hardening/softening function for mobilized friction is extended to a more generalized condition.
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