A Numerical Model Coupling Three-Dimensional Discontinuous Deformation Analysis (3D DDA) with Finite Element Method
A new numerical model that couples three-dimensional discontinuous deformation analysis (3-D DDA) with finite element method is presented in this paper. To improve deformability of 3-D DDA block and to refine its stress distribution field, the conventional tetrahedral finite elements are added into arbitrarily shaped blocks. The contacts between the deformable blocks are simulated by 3-D DDA contact algorithm and normal spring, shear spring and frictional force submatrices are derived by vector analysis and the penalty method. The global equilibrium equations of the coupling method are established by minimizing the total potential energy and a computer program named 3D DDA-FEM has been developed. The problem of interaction of the concrete foundation and the elastic base is analyzed to illustrate the application of the coupling model. The numerical results demonstrate the validity of the proposed model and the capability of the program.
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Document Type: Research Article
Publication date: September 1, 2013
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