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| Rational element method for solving elastic problems |
| Revised:September 16, 2004 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20065114 |
| KeyWord:elasticity problem,polygonal element,ratioanl shape functions,rational function interpolation,rational element method |
| WANG Zhao-qing FENG Wei |
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| Abstract: |
| In this paper by combining the ideas of inverse distance weighted interpolation and considering element nodes distribution,the shape functions of rational function forms are constructed on a polygonal element.The rational trial functions are automatically to ensure interelement compatibility.Adopting Galerkin method and rational trial function,the rational element method for solving elastic problems is derived. The computing domain could be divided into arbitrary polygonal elements.So it is very flexible in grid generation.The rational element method is independent of isoparametric transformation.Rational shape function expressions of different edge-number elements are similar in forms,so it is easy to deal with the program. |
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