Electroelastic analysis of four mode-III cracks originating from a circular hole in piezoelectric materials

作者: ZiXing Lu , JunHong Guo

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摘要: Abstract The fracture behavior of four non-symmetric radial cracks originating from a circular hole in piezoelectric materials subjected to remotely uniform in-plane electric loading and anti-plane mechanical is studied this paper. problem transformed using the complex variable method technique conformal mapping into Cauchy integral equations. To solve equations, analytical solutions stress displacement intensity factors, energy release rate strain are obtained under electrically impermeable permeable assumptions, respectively. Several known results special cases present new models used for simulating more practical defects derived as well, such three hole, semi-circular with an edge crack semi-infinite plane crack. Numerical examples provided graphically show effects geometrical parameters on rate.

参考文章(11)
T.Y. Zhang, C.F. Gao, Fracture behaviors of piezoelectric materials Theoretical and Applied Fracture Mechanics. ,vol. 41, pp. 339- 379 ,(2004) , 10.1016/J.TAFMEC.2003.11.019
Jun-Hong Guo, Zi-Xing Lu, Hai-Tao Han, Zhenyu Yang, The behavior of two non-symmetrical permeable cracks emanating from an elliptical hole in a piezoelectric solid European Journal of Mechanics A-solids. ,vol. 29, pp. 654- 663 ,(2010) , 10.1016/J.EUROMECHSOL.2010.01.001
G. C. Sih, Stress Distribution Near Internal Crack Tips for Longitudinal Shear Problems Journal of Applied Mechanics. ,vol. 32, pp. 51- 58 ,(1965) , 10.1115/1.3625783
Yong-Jian Wang, Cun-Fa Gao, The mode III cracks originating from the edge of a circular hole in a piezoelectric solid International Journal of Solids and Structures. ,vol. 45, pp. 4590- 4599 ,(2008) , 10.1016/J.IJSOLSTR.2008.04.001
Jun-Hong Guo, Zi-Xing Lu, Hai-Tao Han, Zhenyu Yang, Exact solutions for anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material International Journal of Solids and Structures. ,vol. 46, pp. 3799- 3809 ,(2009) , 10.1016/J.IJSOLSTR.2009.07.002
Horacio Sosa, On the fracture mechanics of piezoelectric solids International Journal of Solids and Structures. ,vol. 29, pp. 2613- 2622 ,(1992) , 10.1016/0020-7683(92)90225-I
Z. Suo, C.-M. Kuo, D.M. Barnett, J.R. Willis, Fracture mechanics for piezoelectric ceramics Journal of The Mechanics and Physics of Solids. ,vol. 40, pp. 739- 765 ,(1992) , 10.1016/0022-5096(92)90002-J
CuiYing Fan, YanFei Zhao, MingHao Zhao, Ernian Pan, Analytical solution of a semi-permeable crack in a 2D piezoelectric medium based on the PS model Mechanics Research Communications. ,vol. 40, pp. 34- 40 ,(2012) , 10.1016/J.MECHRESCOM.2012.01.001
Y. Eugene Pak, Crack Extension Force in a Piezoelectric Material Journal of Applied Mechanics. ,vol. 57, pp. 647- 653 ,(1990) , 10.1115/1.2897071