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| The radial point-interpolation procedure based on finite covers and its applications |
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| DOI：10.7511/jslx20073060 |
| KeyWord:finite-covers element free/meshless methods radial point interpolation method property ofKronecker g-function |
| FAN Cheng LUAN Mao-tian LI Yong YANG Qing |
| 1. State Key Lab. of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China; 2. Institute of Geotechnical Engineering, School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: |
| Numerical manifold method can solve both continuous and discontinuous deformation problems in a unified mathematical formulation. The finite cover is the essential technique in this method. The element-free methods have a relative simple pre-treatment process. The radial point-interpolation procedure is one of the element-free methods. In this paper, both the finite-cover technique and radial point- interpolation method are integrated together to develop a element-free radial point-interpolation procedure based on finite covers which takes both advantages of these two types of numerical methods. The shape functions constructed by the proposed method have the property of Kronecker d-function which made the essential boundary conditions be easily implemented. The fundamental theory of this procedure is illustrated and numerical analyses of examples show that the proposed procedure is an effective and simple method with higher computational accuracy. |