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在考虑组构各向异性的砂土状态相关本构模型的基础上,引入了修正的非共轴流动法则建立了相应的非共轴本构模型。对于逆向加载的塑性问题,比如纯环剪加载,将通过引入边界面的概念进行处理。同时根据广义应力状态下的剪胀方程推导的塑性势面,建立了?平面内的非关联共轴流动方向。另外,将非共轴流动方向定义为同当前应力状态主方向正交的方向,并同共轴流动方向一样与塑性加载因子相关联。对Toyoura砂的空心圆柱两种加载模式的剪切试验,即固定主应力轴方向的单调加载和纯环剪切,进行了模拟,结果表明本模型能较好地描述砂土力学行为中的各向异性和非共轴特性。
On the basis of the constitutive model of sand state considering the anisotropy of structure, a modified non-coaxial flow law is introduced to establish the corresponding non-coaxial constitutive model. The plastic problem of reverse loading, such as pure-loop shear loading, will be handled by introducing the concept of boundary surfaces. At the same time, based on the plastic potential induced by the dilatancy equation in the generalized stress state, the non-associated coaxial flow direction in the plane is established. In addition, the non-coaxial flow direction is defined as the direction orthogonal to the main direction of the current stress state and is associated with the plastic loading factor as the coaxial flow direction. The shear tests of two loading modes for the hollow cylinder of Toyoura sand, namely, the monotonic loading and the pure-ring shear in the direction of the principal stress axis, were simulated. The results show that this model can describe well the behavior of sand Anisotropic and non-coaxial properties.