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在次弹性理论基础上,将一种粗粒土的非线性剪胀模型的应力–应变关系式扩展到一般的三维应力条件下,给出三维本构关系的张量形式和矩阵形式以便有限元计算使用。基于ABAQUS平台并利用用户子程序UMAT实现非线性剪胀模型的有限元计算程序。选择某个堆石坝工程的粗粒土为研究对象,应用该程序对粗粒土在不同围压条件下的大型饱和三轴固结排水试验进行三维非线性有限元的数值模拟,并与试验结果进行比较,初步验证本文所推导的三维关系的张量形式和矩阵形式的合理性,以及编制的有限元程序的正确性。
Based on the theory of sub-elasticity, the stress-strain relation of a nonlinear dilatancy model of coarse grained soil is extended to general three-dimensional stress conditions. The tensor forms and matrix forms of the three-dimensional constitutive relations are given so that the finite element Calculate use. Based on the ABAQUS platform and the use of user subroutine UMAT nonlinear dilatometer finite element program. By selecting the coarse grained soil of a rockfill dam project as the research object, this program is used to simulate the large-scale saturated triaxial consolidation drainage test of coarse grained soil under different confining pressure with three-dimensional nonlinear finite element method. The results are compared to verify the rationality of the tensor form and matrix form of the three-dimensional relationship and the correctness of the finite element program.