Dynamic behaviors of interacting radial cracks at the edge of the circular cavities in piezoelectric medium
LI Dong1, WANG Hui-cong1, SONG Tian-shu2
1. Department of Civil Engineering, Hebei Jiaotong Vocational & Technical College, Shijiazhuang 050091, China;
2. School of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China
Based on the method of Green’s function, the present paper is exposed theoretically to the interaction of the radial cracks emanating from the edges of the circular cavities in the piezoelectric material model, subjected to the dynamic incident anti-plane shearing wave (SH-wave). Firstly, coupled Green’s functions for displacement and electric potential are established by using complex variable method, which are suitable for the problem of the semi-infinite piezoelectric material with some semi-circular holes on the interface. Secondly, crack-division technique is used to contrast the model of radial cracks. The problem is reduced to a series of Fredholm integral equations of the first kind according to the continuity conditions of the displacement and stress at the interface. Finally, as a example, the numerical results are plotted by solving the equations to show the influences of the geometry parameters, piezoelectric characteristic parameters and the wave frequencies of incident wave on the dynamic stress intensity factors (DSIFs) at the crack tips.
李冬1，王慧聪1，宋天舒2. 压电材料中多个孔边径向裂纹的动力相互作用[J]. 振动与冲击, 2016, 35(16): 176-180.
LI Dong1, WANG Hui-cong1, SONG Tian-shu2. Dynamic behaviors of interacting radial cracks at the edge of the circular cavities in piezoelectric medium. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(16): 176-180.
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