Plane problems of 2D decagonal quasicrystals of piezoelectric effect with Griffith crack

被引:3
|
作者
Xu W.-S. [1 ]
Yang L.-Z. [2 ]
Gao Y. [1 ]
机构
[1] College of Science, China Agricultural University, Beijing
[2] Civil and Environmental Engineering School, University of Science and Technology Beijing, Beijing
关键词
Energy release rate; Griffith crack; Intensity factor; Piezoelectric effect; Quasicrystals; Stroh formalism;
D O I
10.3785/j.issn.1008-973X.2018.03.010
中图分类号
学科分类号
摘要
The analytical expressions for the entire fields and field intensity factors in the coupled fields were obtained by utilizing the generalized Stroh formalism combined with semi-inverse method; the energy release rate of the crack tip was solved with the weight function method. What's more, through numerical examples, the change rules of field intensity factors derived from the concentrated loadings were discussed; the stress and displacement around crack tip with remote uniform loading were analyzed, and the results were compared with elliptical hole and degradation results. Results show that concentrated loadings near the crack tip have obvious influence for stress intensity factors and electric displacement intensity factor. Energy release rate is a combined result because of electric field, phonon field, phase field, phonon-phase coupling field and electric-phonon coupling effect. Intensity factors and energy release rate jointly characterize some rules of the stress concentration and the direction of crack propagation. © 2018, Zhejiang University Press. All right reserved.
引用
收藏
页码:487 / 496
页数:9
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