粗粒料非线性模型(hhu-KG)的有限元实现及工程应用

介绍了一种可以考虑剪胀效应、中主应力影响以及强度非线性的粗粒料非线性模型(hhu-KG模型)。在次弹性理论的基础上将其扩展为一般应力空间中的应力应变关系，并基于土石坝静动力流固耦合可视化分析软件平台开发了该模型的有限元计算程序。采用该模型和邓肯E-B模型对某面板堆石坝进行了三维有限元数值模拟，并对两种模型的模拟结果进行了对比分析。结果显示，相较于邓肯E-B模型，hhu-KG模型计算所得到的最大沉降值与最大面板挠度值略小，而最大顺河向位移值略大，但是两种模型计算所得的坝体与面板变形分布规律大致相同，且符合工程的一般规律，验证了基于次弹性理论推导的刚度系数矩阵的合理性，同时也说明了hhu-KG模型在土石坝静力有限元分析中的适用性。研究成果为粗颗粒土在土石坝的应用提供参考。

Finite element implementation of nonlinear constitutive model ( hhu-KG) for coarse-grained materials and its engineering application

A nonlinear constitutive model ( hhu-KG model) that can consider the dilatancy effect，the intermediate principal stress and the strength nonlinearity of coarse-grained materials is introduced herein． Based on the theory of hypoelasticity，the model is extended into a normal stress-strain relationship in general stress space，and then the finite element calculation program for the model is developed on the basis of the visual analysis software platform of static and dynamic fluid-structure interaction for earth-rockfill dam． Both the nonlinear constitutive model and Duncan-Chang E-B model are adopted for the 3-D finite element numerical calculation of a concrete face rockfill dam，while the simulation results from both the models are comparatively analyzed as well． The result shows that the maximum settlement and the maximum deflection of the concrete face slab calculated by the hhu-KG model are slightly less than those calculated by the Duncan-Chang E-B model，but the maximum displacement along river is slightly larger，while the deformation distribution laws of the dam body and the concrete slab obtained from both the models are roughly the same and conform to the relevant general engineering law，which verifies the reasonability of the stiffness coefficient matrix derived from the theory of hypoelasticity and simultaneously illustrates the applicability of the hhu-KG model in the static finite element analysis of earth-rockfill dam． The study results can provide references for the application of coarse-grained soil to the construction of earth-rockfill dam．