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| Finite variation method: a new numerical method for solving variational integral equations |
| Received:October 26, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105010 |
| KeyWord:finite variation method variational integral equations stress intensity factor 3-D general weight function method multiple virtual crack extension method |
| Author | Institution |
| 卢炎麟 |
浙江工业大学 机械制造及自动化教育部重点实验室,杭州 |
| 周国斌 |
浙江工业大学 机械制造及自动化教育部重点实验室,杭州 |
| 贾虹 |
浙江工业大学 机械制造及自动化教育部重点实验室,杭州 |
| 应富强 |
浙江工业大学 机械制造及自动化教育部重点实验室,杭州 |
| 傅建钢 |
浙江工业大学 机械制造及自动化教育部重点实验室,杭州 |
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| Abstract: |
| The multiple virtual crack extension (MVCE) method proposed by authors is extended to a new general numerical method-finite variation method (FVM). Giving finite (N) local variation modes, discretizing the solved variables, writing out the N equations for N local variation modes, the N unknown coefficients in discretization and thus the unknown variables can be solved. The coefficient matrix of the final equations in FVM is usually a symmetrical matrix with small band-width and major diagonals, which has good numerical properties. The distributions of SIFs along 3-D mode I crack fronts are solved by FVM. By means of the programs using the general weight function method based on FVM, the histories of distributions of SIFs along 3-D crack fronts of a body subjected to surface tractions, volume forces and thermal loadings can be determined with high accuracy and efficiency. FVM can be extended to more general areas, which is a widely suitable numerical method for solving the variational integral equations. |
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