The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane

作者: Zhen-Gong Zhou , Ying Guo , Lin-Zhi Wu

DOI: 10.1016/J.MECHRESCOM.2009.02.008

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摘要: Abstract The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied this paper. problem formulated through Fourier transform into pairs dual integral equations. To solve the equations, jumps displacements across crack surfaces were directly expanded as series Jacobi polynomials. Finally, relation between electric filed and field near tips obtained. It is also revealed that shielding effect presents materials.

参考文章(15)
WangBaolin, DuShanyi, HanJiecai, APPLICABILITY OF THE CRACK FACE ELECTRICAL BOUNDARY CONDITIONS IN PIEZOELECTRIC MECHANICS 固体力学学报:英文版. ,vol. 17, pp. 290- 296 ,(2004)
T. A. A. B., A. Erdelyi, Tables of Integral Transforms. I The Mathematical Gazette. ,vol. 39, pp. 337- ,(1955) , 10.2307/3608613
Hao Tian-Hu, Shen Zi-Yuan, A new electric boundary condition of electric fracture mechanics and its applications Engineering Fracture Mechanics. ,vol. 47, pp. 793- 802 ,(1994) , 10.1016/0013-7944(94)90059-0
F. Narita, Y. Shindo, Scattering of antiplane shear waves by a finite crack in piezoelectric laminates Acta Mechanica. ,vol. 134, pp. 27- 43 ,(1999) , 10.1007/BF01170302
Vladimir Z. Parton, Fracture mechanics of piezoelectric materials Acta Astronautica. ,vol. 3, pp. 671- 683 ,(1976) , 10.1016/0094-5765(76)90105-3
Bao-Lin Wang, Yiu-Wing Mai, Impermeable Crack and Permeable Crack Assumptions, Which One is More Realistic? Journal of Applied Mechanics. ,vol. 71, pp. 575- 578 ,(2004) , 10.1115/1.1748294
Ai Kah Soh, Dai-Ning Fang, Kwok Lun Lee, Analysis of a bi-piezoelectric ceramic layer with an interfacial crack subjected to anti-plane shear and in-plane electric loading European Journal of Mechanics A-solids. ,vol. 19, pp. 961- 977 ,(2000) , 10.1016/S0997-7538(00)01107-4
Jian-Jun Han, Yi-Heng Chen, Multiple parallel cracks interaction problem inpiezoelectric ceramics International Journal of Solids and Structures. ,vol. 36, pp. 3375- 3390 ,(1999) , 10.1016/S0020-7683(98)00149-8
Shouetsu Itou, Hasiyet Haliding, Dynamic stress intensity factors around two parallel cracks in an infinite-orthotropic plane subjected to incident harmonic stress waves International Journal of Solids and Structures. ,vol. 34, pp. 1145- 1165 ,(1997) , 10.1016/S0020-7683(96)00068-6