Browse > Article
http://dx.doi.org/10.12989/sem.2006.23.2.163

Transient response of a piezoelectric layer with a penny-shaped crack under electromechanical impacts  

Feng, Wenjie (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute)
Li, Yansong (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute)
Ren, DeLiang (Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute)
Publication Information
Structural Engineering and Mechanics / v.23, no.2, 2006 , pp. 163-175 More about this Journal
Abstract
In this paper, the dynamic response of a piezoelectric layer with a penny-shaped crack is investigated. The piezoelectric layer is subjected to an axisymmetrical action of both mechanical and electrical impacts. Two kinds of crack surface conditions, i.e., electrically impermeable and electrically permeable, are adopted. Based upon integral transform technique, the crack boundary value problem is reduced to a system of Fredholm integral equations in the Laplace transform domain. By making use of numerical Laplace inversion the time-dependent dynamic stress and electric displacement intensity factors are obtained, and the dynamic energy release rate is further derived. Numerical results are plotted to show the effects of both the piezoelectric layer thickness and the electrical impact loadings on the dynamic fracture behaviors of the crack tips.
Keywords
piezoelectric layer; penny-shaped crack; dynamic energy release rate; dynamic stress intensity factor; axis symmetry;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 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
2 Yang, J.B. 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
3 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. Solids., 52, 2079-2100   DOI   ScienceOn
4 Lin, S., Narita, F. and Shindo, Y. (2003), ' Electroelastic analysis of a penny-shaped crack in a piezoelectric ceramic under mode-l loading ', Mech. Res. Commu., 30, 371-386   DOI   ScienceOn
5 Miller, M.K. and Guy, W.T. (1966), ' Numerical inversion of the Laplace transform by use of Jacobi polynomials ', SIAM J. Numer. Anal., 3, 624-635   DOI   ScienceOn
6 Parton, V.Z. (1976), ' Fracture mechanics of piezoelectric materials ', Acta Astro., 3, 671-683   DOI   ScienceOn
7 lng, Y.S. and Wang, M.J. (2004), ' Transient analysis of a mode-III crack propagating in a piezoelectric medium ', Int. J. Solids Struct., 41, 6197-6214   DOI   ScienceOn
8 Kwon, S.M. and Lee, K.Y. (2000), ' Transient response of a rectangular medium with a center crack ', Eur. J.Mech. A/Solids, 20, 457-468   DOI   ScienceOn
9 Li, S.F. and Mataga, P.A (1996b), ' Dynamic crack propagation in piezoelectric materials - Part 2: Vacuum solution ', J. Mech. Phys. Solids, 44, 1831-1866   DOI   ScienceOn
10 Li, X.F. (2001), ' Transient response of a piezoelectric material with a semi-infinite mode-III crack under impact loads ', Int.J. Fract., 111, 119-130   DOI
11 Chen, Z.T. and Yu, S.W. (1999), ' Transient response of a piezoelectric ceramic with two coplanar cracks under electromechanical impact ', Acta Mech. Sinica, 15, 325-333   DOI
12 Dascalu, C. and Maugin, G. (1995), ' On the dynamic fracture of piezoelectric materials ', Q. J. Mech. Appl.Math., 48, 237-255   DOI   ScienceOn
13 Deeg, W.F. (1980), ' The analysis of dislocation, crack, and inclusion problems in piezoelectric solids' , Ph.D. Thesis, Stanford University, USA
14 Eriksson, K. (2002), ' Energy release rates for the penny-shaped crack in a linear piezoelectric solid ', Int. J.Fract., 116, L23-L28   DOI
15 Gu, B., Yu, S.W and Feng, X.Q. (2002a),' Transient response of an insulating crack between piezoelectric layers under mechanical and electrical impacts ', Arch. Appl. Mech., 72, 615-629   DOI
16 Chen, Z.T. and Karihaloo, B.H. (1999), ' Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact ', Int. J. Solids Struct., 36, 5125-5133   DOI   ScienceOn
17 Chen, W.Q., Shioya, T. and Ding, H.J. (2000), ' Penny-shaped crack in piezoelectrics: Resolved ', Int. J. Fract., 105,49-56   DOI
18 Chen, J., Liu, Z.X. and Zou, Z.Z. (2003), ' Electromechanical impact of a crack in a functionally graded piezoelectric medium ', Theor. Appl. Fract. Mech., 39, 47-60   DOI   ScienceOn
19 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/Solids, 20, 997-1005   DOI   ScienceOn
20 Chen, W.Q. and Shioya, T. (1999),' Fundamental solution for a penny-shaped crack in a piezoelectric medium ', J. Mech. Phys. Solids, 47, 1459-1475   DOI   ScienceOn
21 Gu, B., Yu, S.W and Feng, X.Q. (2002b),' Transient response of an interface crack between piezoelectric layers under mechanical impacts ', Int. J. Solids Struct., 39, 1743-1756   DOI   ScienceOn
22 Wang, B.L., Han, J.C. and Du, S.Y. (2000),' Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing ', Int. J. Solids Struct., 37, 5219-5231   DOI   ScienceOn
23 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
24 Wang, X.Y. and Yu, S.W (2000), 'Transient response of a crack in piezoelectric strip subjected to mechanical and impacts: mode-III problem ', Int. J. Solids Struct., 37, 5795-5808   DOI   ScienceOn
25 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
26 Yang, F.Q. (2004),' General solutions of a penny-shaped crack in a piezoelectric material under opening mode-l loading ', Quart. J. Mech. Appl. Math., 57, 529-550   DOI   ScienceOn
27 Li, X.F. and Fan, T.Y. (2002), ' Transient analysis of a piezoelectric strip with a permeable crack under anti-plane impact loads ', Int. J. Eng. Sci., 40, 131-143   DOI   ScienceOn
28 Li, S.F. and Mataga, P.A (1996a), ' Dynamic crack propagation in piezoelectric materials - Part 1: Electrode solution ', J. Mech. Phys. Solids, 44, 1799-1830   DOI   ScienceOn
29 Feng, W.J., Su, R.K.L. and Zou, Z.Z. (2004), ' Dynamic response of multiple coplanar interface cracks between two dissimilar piezoelectric materials ', Key Engn. Mater., 261-263, 477-482   DOI
30 Kogan, L., Hui, C.Y. and Molkov, V. (1996), ' Stress and induction field of a spherical inclusion or a pennyshaped crack in a transversely isotropic piezoelectric material ', Int. J. Solids Struct., 33,2719-2737   DOI   ScienceOn
31 Wang, X.Y. and Yu, S.W .(2001),' Transient response of a crack in piezoelectric strip subjected to mechanical and impacts: mode-l problem ', Mech. Mater., 33, 11-20   DOI   ScienceOn