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| Studies on stress interactions within periodic polygonal inclusions |
| Received:November 20, 2008 Revised:March 29, 2010 |
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| DOI：10.7511/jslx20106028 |
| KeyWord:heterogeneous material polygonal inclusion interaction generalized stress intensity factor hybrid finite element method |
| Author | Institution |
| 平学成 |
华东交通大学 机电工程学院,南昌 |
| 陈梦成 |
华东交通大学 机电工程学院,南昌 |
| 谢基龙 |
北京交通大学 机械与电子控制工程学院,北京 |
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| Abstract: |
| This paper deals with the stress interaction problem of periodic polygonal inclusions under far field tension by using a novel hybrid finite element model and a unit cell model. The novel hybrid finite element method is established based on the general Hellinger-Reissner variational principle for an inclusion corner tip domain, in which components of stress and displacement fields are expressed by numerical eigensolusions obtained from an ad hoc finite element eigenanalysis method. Due to the use of present finite element method, only boundaries of a inclusion corner tip domain need to be discretized, i.e., 2D meshes with high density are avoided. Generalized stress intensity factors which represent the intensities of stress fields at the corners of inclusions are systematically calculated with varying the material type, shape and arrangement of polygonal inclusions. In numerical examples, the inclusion-matrix interfaces are assumed to be perfectly bonded, and some numerical results are compared with existing results. The present method is found to be yield rapidly converging numerical solutions with high accuracy. Relative to the conventional finite element method, even the boundary integral equation method, the method is more versatile, attractive and potentially very useful in the analysis of micromechanics of heterogeneous materials. |
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