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| Finite element surface stress calculation |
| Received:December 04, 2009 |
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| DOI：10.7511/jslx20102001 |
| KeyWord:influence function symplectic finite element method surface stress |
| Author | Institution |
| 孙雁 |
上海交通大学 船舶海洋与建筑工程学院 工程力学系, 上海 |
| 钟万勰 |
大连理工大学 工程力学系,大连 ;上海交通大学 船舶海洋与建筑工程学院 工程力学系, 上海 |
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| Abstract: |
| The displacement method is common used for structural analysis in finite element method(FEM). The displacements calculated by FEM have high accuracy. When the stresses are calculated from the displacements, the stress-strain relationship and strain-displacement relation are used in FEM. As the strain-displacement relation is differential quotient relation, the differential quotient is translated to interpolation in numerical methods. Thus, the accuracy of stresses is reduced. Based on the sympletic elasticity, the influence functions of displacements and stresses are derived analytically. The stresses of one point are obtained through the reciprocal theorem of works without differential interpolation. The accuracy of stresses is improved. The maximum stress is often appeared on the surface of structures. The influence functions of surface stress are present in this paper. The numerical results show that the method is feasible and effective. The subroutine, compiled with the influence function method, can be used as a module to add into a finite element software for stress calculation. |
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