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| An enhanced finite element method with separate mathematical and physical mesh |
| Received:August 08, 2008 |
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| DOI：10.7511/jslx20093021 |
| KeyWord:finite element method discontinuous deformation movable boundary displacement interpolation |
| Author | Institution |
| 凌道盛 |
浙江大学 软弱土与环境土工教育部重点实验室,杭州 |
| 徐小敏 |
浙江大学 软弱土与环境土工教育部重点实验室,杭州 |
| 陈云敏 |
浙江大学 软弱土与环境土工教育部重点实验室,杭州 |
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| Abstract: |
| For standard finite element method (SFEM), mesh generation of domain with complex boundary and problems with movable boundary or discontinuous deformation are cumbersome to deal with. In this paper, conventional element is separated into two kinds of elements, mathematical element and physical element, which are geometrically independent. The mathematical element and physical element are applied for approximating construction and physical domain description, respectively. By introducing correlation rule between mathematical and physical element, the approximate displacement of physical element is determined. Basing on separated mathematical and physical meshes, an enhanced finite element method (FEM++), which is in the framework of SFEM, is then put forwards. A typical correlation rule, named extension of mathematical displacement mode for regular mathematical element, is proposed with corresponding formulas. The most important advantage of FEM++ is that it provides a new simple way to simulate problems with movable boundary or strong／weak discontinuous deformation. Finally, its applicability and validity are verified through a numerical example. |
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