发展了三维不连续变形分析(DDA)与有限元(FEM)耦合计算的力学模型。通过对三维块体进行有限单元网格剖分,采用有限元法来求解块体内部的位移场及应力分布,块体边界之间的接触则采用DDA方法来模拟,基于最小势能原理建立了三维DDA—FEM耦合方法的总体平衡方程,并详细推导了接触矩阵的表达式。在此基础上编制了相应的计算程序并将其应用到混凝土基础与地基相互作用的变形分析。计算结果表明了该耦合方法的有效性。
A numerical model that coupled three dimensional discontinuous deformation analysis (3D DDA) with finite element method was presented. The displacement field and the stress field were solved by proper internal discretization of deformable blocks using finite element meshes. The contacts between the deformable blocks were modelled with DDA method. Based on the variational principle of minimum potential energy, the global equilibrium equations of the coupling method was established. The contact matrix and friction force matrix were derived and added to the global equations. The problem of interaction of the concrete foundation and the elastic base was analyzed to illustrate the application of the proposed method. The numerical results demonstrated the validity and the advantages of the coupling method.