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| The computational methods of natural element method in three dimensional elasto-plastic analysis |
| Revised:September 24, 2004 |
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| DOI：10.7511/jslx20065111 |
| KeyWord:nature element method,Delaunay triangulation,elasto-plastic analysis,yield criteria |
| WANG Jian-hua ZHANG Ying-xin GAO Shao-wu |
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| Abstract: |
| The Natural Element Method(NEM) is a recently developed meshless method and is the Galerkin Method based on the Natural Neighbour Interpolation essentially.The numerical results are almost equal to the results of the quadrangular or hexahedral finite element method,and the time cost involved in evaluating natural neighbour shape functions is less than that of other meshless methods.The Natural Neighbour Interpolation is strictly linear between adjacent nodes on the bound of the convex hull,which facilitates imposition of essential boundary condition.The algorithm for three dimensional elasto-plastic analysis based on the yield criteria of Von.Mises,Mohr-Coulomb and Drucker-Prager are presented.Each of them has an example to check its veracity. |