Browse > Article
http://dx.doi.org/10.12989/sem.2014.52.1.001

A penny-shaped interfacial crack between piezoelectric layer and elastic half-space  

Ren, J.H. (College of Mechanical and Electrical Engineering, Hebei University of Engineering)
Li, Y.S. (College of Mechanical and Electrical Engineering, Hebei University of Engineering)
Wang, W. (College of Mechanical and Electrical Engineering, Hebei University of Engineering)
Publication Information
Structural Engineering and Mechanics / v.52, no.1, 2014 , pp. 1-17 More about this Journal
Abstract
An interfacial penny-shaped crack between piezoelectric layer and elastic half-space subjected to mechanical and electric loads is investigated. Using Hankel transform technique, the mixed boundary value problem is reduced to a system of singular integral equations. The integral equations are further reduced to a system of algebraic equations with the aid of Jacobi polynomials. The stress intensity factor and energy release rate are determined. Numerical results reveal the effects of electric loadings and material parameters of composite on crack propagation and growth. The results seem useful for design of the piezoelectric composite structures and devices of high performance.
Keywords
interfacial crack; penny-shaped crack; Hankel transform; energy release rate; piezoelectric material;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Kuna, M. (2010), "Fracture mechanics of piezoelectric materials-where are we right now?", Eng. Fract. Mech., 77, 309-326.   DOI   ScienceOn
2 Chen, W.Q. and Shioya, T. (2000), "Complete and exact solutions of a penny-shaped crack in a piezoelectric solid: antisymmetric shear loadings", Int. J. Solids Struct., 37, 2603-2619.   DOI   ScienceOn
3 Feng, W.J., Li, Y.S. and Ren, D.L. (2006), "Transient response of a piezoelectric layer with a penny-shaped crack under electrical-mechanical impacts", Struct. Eng. Mech., 23, 163-176.   DOI   ScienceOn
4 Karapetian, E., Sevotianov, I. and Kachanov, M. (2000), "Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading", Arch. Appl. Mech., 70, 201-229.   DOI
5 Kassir, M.K. and Sih, G.C. (1975), Three-Dimensional Crack Problems, Noordhoff International Publications, Leyden.
6 Kogan, L., Hui, C.Y. and Molkov, V. (1996), "Stress and induction field of a spherical inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material", Int. J. Solids Struct., 33, 2719-2737.   DOI   ScienceOn
7 Li, X.F. and Lee, K.Y. (2004), "Effects of electric field on crack growth for a penny-shaped dielectric crack in a piezoelectric layer", J. Mech. Phys. Solid., 52, 2079-2100.   DOI   ScienceOn
8 Shang, F., Kuna, M. and Abendroth, M. (2003), "Finite element analyses of three-dimensional crack problems in piezoelectric structures", Eng. Fract. Mech., 70, 143-160.   DOI   ScienceOn
9 Shen, S.P. and Kuang, Z.B. (1998), "Wave scattering from an interface crack in laminated anisotropic media", Mech. Res. Commun., 25, 509-517.   DOI   ScienceOn
10 Ueda, S. (2008), "Functionally graded piezoelectric strip with a penny-shaped crack under electromechanical loadings", Eur. J. Mech. A/Solid., 27, 50-60.   DOI   ScienceOn
11 Ueda, S. and Ashida, F. (2007), "Transient response of a functionally graded piezoelectric strip with a penny-shaped crack under electric time-dependent loading", Acta Mech., 194, 175-190.   DOI
12 Yang, F.Q. (2004), "General solutions of a penny-shaped crack in a piezoelectric material under opening mode-I loading", Q. J. Mech. Appl. Math., 57, 529-550.   DOI   ScienceOn
13 Wang, B.L., Noda N., Han, J.C. and Du, S.Y. (2001), "A penny-shaped crack in a transversely isotropic piezoelectric layer", Eur. J. Mech. A/Solid, 20, 997-1005.   DOI   ScienceOn
14 Yang, J.H. and Lee, K.Y. (2003b), "Penny-shaped crack in a piezoelectric cylinder surrounded by an elastic medium subjected to combined in plane mechanical and electrical loads", Int. J. Solids Struct., 40, 573-590.   DOI   ScienceOn
15 Wang, Z.K. (1994), "Penny-shaped crack in transversely isotropic piezoelectric materials", Acta. Mech. Sin., 10, 49-60.   DOI
16 Yang, J.H. and Lee, K.Y. (2003a), "Penny-shaped crack in a piezoelectric cylinder under electromechanical loads", Arch. Appl. Mech., 73, 323-336.   DOI
17 Zhang, T.Y. and Gao, C.F. (2004), "Fracture behaviors of piezoelectric materials", Theor. Appl. Fract. Mech., 41, 339-379.   DOI   ScienceOn
18 Zhang, T.Y., Zhao, M.H. and Tong, P. (2002), "Fracture of piezoelectric ceramics", Adv. Appl. Mech., 38, 147-289.   DOI
19 Wang, B.L., Sun, Y.G. and Zhu, Y. (2011), "Fracture of a finite piezoelectric layer with a penny-shaped crack", Int. J. Fract., 172, 19-39.   DOI
20 Tian, W.Y. and Rajapakse, R.K.N.D. (2006), "Fracture parameters of a penny-shaped crack at the interface of a piezoelectric bi-material system", Int. J. Fract., 141, 37-48.   DOI