The anti-plane solution for the edge cracks originating from an arbitrary hole in a piezoelectric material
作者： Yong-Jian Wang , Cun-Fa Gao , Haopeng Song
DOI: 10.1016/J.MECHRESCOM.2015.01.005
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摘要: Abstract In this paper, a general and simple way was found to solve the problem of an arbitrary hole with edge cracks in transversely isotropic piezoelectric materials based on complex variable method numerical conformal mapping. Firstly, approximate mapping function which maps outside into circular is derived after series process. Secondly, assumption that surface electrically impermeable traction-free, expressions for potential, fields intensity factors energy release rates are presented, respectively. Thirdly, under in-plane electric loading together out-plane mechanical loading, influences size, crack length mechanical/electric analyzed. Finally, some particular holes studied analysis. The result shows that, always promotes growth, while may retard growth.
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sci-hub.se 参考文章(21)
Guriĭ Nikolaevich Savin, Stress concentration around holes Pergamon Press. ,(1961)
Roland Schinzinger, Patricio A. A. Laura, Conformal Mapping: Methods and Applications ,(1991)
Nikoloz Muskhelishvili, Some basic problems of the mathematical theory of elasticity ,(1953)
Seungbae Park, Fracture behavior of piezoelectric materials UMI Dissertation Services. ,(1994)
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
Jun-Hong Guo, Zi-Xing Lu, Anti-plane analysis of multiple cracks originating from a circular hole in a magnetoelectroelastic solid International Journal of Solids and Structures. ,vol. 47, pp. 1847- 1856 ,(2010) , 10.1016/J.IJSOLSTR.2010.03.022
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
Z SUO, X ZHAO, W GREENE, A nonlinear field theory of deformable dielectrics Journal of The Mechanics and Physics of Solids. ,vol. 56, pp. 467- 486 ,(2008) , 10.1016/J.JMPS.2007.05.021