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| Computing stress intensity factors by enriched natural element method |
| Received:March 06, 2008 |
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| DOI：10.7511/jslx20102014 |
| KeyWord:solid mechanics natural element method enriched displacement approximation crack tip asymptotic displacement field stress intensity factor |
| Author | Institution |
| 江涛 |
河海大学 水文水资源与水利工程科学国家重点实验室,南京 ;河海大学 工程力学系,南京 |
| 章青 |
河海大学 水文水资源与水利工程科学国家重点实验室,南京 ;河海大学 工程力学系,南京 |
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| Abstract: |
| The natural element method(NEM) is a recently developed meshless method, but in analysis of fracture problems, the trial functions can not reflect the singular stress fields correctly. Therefore, refined array of nodes around a crack tip adequately is required to obtain sufficient accuracy.An enriched NEM formulation for fracture problems is proposed, in which the asymptotic displacement fields near crack tip are added to the NEM approximation, the construction of the enriched trial functions are presented, the corresponding formulas of global stiffness matrix and load vector have been deduced. In this method, the stress intensity factors can be calculated directly as the additional unknowns, and can also be computed using the J integral or interaction integral method. In addition, the effects of different enriched regions on the solutions for stress intensity factors are discussed. Numerical results illustrate that the contour integral method in the calculation of stress intensity factors has high accuracy, while the method using the stress intensity factors as the additional unknowns produces lower accuracy. |
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