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| Influence function and finite element stress calculation |
| Received:October 23, 2009 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20101001 |
| KeyWord:influence function finite element method symplectic dual variable the reciprocal theorem of works 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 stress filed will be calculated accordingly after the displacement field is obtained with the finite element method. As usual, the strain is firstly obtained through differentiating displacements, then the stress field is calculated by using the relationship of the stress-strain. The accuracy of displacements by FEM is relatively higher. However through the displacement of derivation to calculate the stress, the accuracy will be much lower. Based on the achievements of Hamiltonian dual system, the stresses of one point are obtained through 3 steps of solving the influence functions of one point’s displacements and stresses, getting displacements and nodal forces by FEM, and applying the reciprocal theorem of works. The accuracy increase of stress is obvious because the influence functions are analytic solutions and they are needless to differentiate displacements. Numerical results show that the method is feasible and effective. The program is compiled by the influence function method. It can be used as a module of finite element general program for stress calculation. |
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