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| Semi-analytical finite element method for linear cohesive force model in crack propagation |
| Revised:May 06, 2004 |
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| DOI：10.7511/jslx20062027 |
| KeyWord:Hamiltonian system,crack propagation,cohesive force,dugdale model,fictitious crack model,semi-analytical finite element method |
| WANG Cheng-qiang ZHENG Chang-liang |
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| Abstract: |
| A semi-analytical finite element method for crack propagation problems based on linear cohesive force model is presented.From the Hamiltonian governing equations of plane elasticity in sectorial domain,the variable separation and eigenfunction expansion techniques are employed to formulate a ring and a circular singular hyper-analytical-elements.The assembly of the two hyper-analytical-elements gives a precise description of the displacement and stress fields in the vicinity of crack tip for a cracked plane subjected to a bilinear cohesive force.The new analytical element can be implemented into FEM program systems to solve crack propagation for plane problems with arbitrary shapes and loads.Numerical results for typical problems show that the method is simple,efficient and accurate. |
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