The transient response of a piezoelectric strip with a vertical crack under electromechanical impact load

International Journal of Solids and Structures

Volumn 37, Issue 42, 2000, Pages 6051-6062

  Chen, Z T ^a   Meguid, S A ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Electromechanical; Impact; Piezoelectric; Strip; Transient

Indexed keywords

EID: 0000371809     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00259-0     Document Type: Article

References (28)

1. Copson, E.T., 1961. On certain dual integral equations. Proceedings of the Glasgow Mathematical Association 5, 19-24.
2. Fan, T.Y., 1991. Fundamentals of Dynamic Fracture Mechanics. Beijing University of Science and Technology Press, Beijing.
3. Gao, O.F., Fan, W.X., 1999. Exact solution for the plane problem in piezoelectric materials with an elliptic hole or a crack. International Journal of Solids and Structures 36, 2527-2540.
4. Jain, A.K., Sirkis, J.S., 1994. Continuum damage mechanics in piezoelectric ceramics. Adaptive Structures and Composite Materials: Analysis and Application AD45/MD54, 47-58.
5. Khutoryansky, N.M., Sosa, H., 1995. Dynamic representation formulas and fundamental solutions for piezoelectricity. International Journal of Solids and Structures 32, 3307-3325.
6. Li, S., Mataga, P.A., 1996. Dynamic crack propagation in piezoelectric materials. Part II: Vacuum solution. Journal of the Mechanics and Physics of Solids 44, 1831-1866.
7. Liu, J.X., Liu, Y.L., Wang, B., Du, S.Y., 1998. Mode III crack in the piezoelectric layer of two dissimilar materials. Key Engineering Materials 145-149, 1167-1172.
8. McMeeking, R.M., 1989. Electrostrictive stresses near crack-like flaws. Journal of Mathematics and Applied Physics 40, 615-627.
9. Meguid, S.A., Wang, X.D., 1998. Dynamic antiplane behavoir of interacting cracks in a piezoelectric medium. International Journal of Fracture 91, 391-403.
10. Miller, M.K., Guy, W.T., 1966. Numerical inversion of the Laplace transform by using of Jacobi polynomials. SIAM Journal of Numerical Analysis 3, 624-635.
11. Narita, F., Shindo, Y., 1998a. Scattering of Love waves by a surface-breaking crack in piezoelectric layered media. JSME International Journal, Series A 41, 40-48.
12. Narita, F., Shindo, Y., 1998b. Layered piezoelectric medium with interface crack under anti-plane shear. Theoretical and Applied Fracture Mechanics 30, 119-126.
13. Narita, F., Shindo, Y., 1998c. Dynamic anti-plane shear of a cracked piezoelectric ceramic. Theoretical and Applied Fracture Mechanics 29, 169-180.
14. Norris, A.N., 1994. Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids. Proceedings of the Royal Society of London A447, 175-186.
15. Pak, Y.E., 1990. Crack extension force in a piezoelectric material. Journal of Applied Mechanics 67, 647-653.
16. Pak, Y.E., Goloubeva, E., 1996. Electroelastic properties of a cracked piezoelectric materials under longitudinal shear. Mechanics of Materials 24, 287-303.
17. Pak, Y.E., Tobin, A., 1993. On electric field effects in fracture of piezoelectric materials. Mechanics of Electromagnetic Materials and Structures AMD161/MD42, 51-62.
18. Park, S., Sun, C.T., 1995. Fracture criteria for piezoelectric ceramics. Journal of the American Ceramics Society 78, 1475-1480.
19. Parton, V.Z., 1976. Fracture mechanics for piezoelectric materials. Acta Astronautica 3, 671-683.
20. Qin, Q-H., Mai, Y-W., 1999. A closed crack tip model for interface cracks in thermopiezoelectric materials. International Journal of Solids and Structures 36, 2463-2479.
21. Shindo, Y., Katsura, H., Yan, W., 1996. Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field. Acta Mechanica 117, 1-10.
22. Shindo, Y., Narita, F., Sosa, H., 1998. Electroelastic analysis of piezoelectric ceramics with surface electrodes. International Journal of Engineering Science 36, 1001-1009.
23. Shindo, Y., Ozawa, E., 1990. Dynamic analysis of a cracked piezoelectric material. In: Hsieh, R.K.T. (Ed.), Mechanical Modeling of New Electromagnetic Materials. Elsevier, Amsterdam, pp. 297-304.
24. Sosa, H., 1992. On the fracture mechanics of piezoelectric solids. International Journal of Solids and Structures 29, 2613-2622.
25. Suo, Z., Kuo, C.M., Barnett, D.M., Willis, J.R., 1992. Fracture mechanics for piezoelectric ceramics and Physics of Solids. Journal of the Mechanics 40, 739-765.
26. Zhang, T.Y., Hack, J.E., 1992. Mode III cracks in piezoelectric materials. Journal of Applied Physics 71, 5865-5870.
27. Zhang, T.Y., Qian, C.F., Tong, P., 1998. Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material. International Journal of Solids and Structures 35, 2121-2149.
28. Zhao, M.H., et al., 1997. Isolated cracks in three-dimensional piezoelectric solid. Part II: Stress intensity factors for circular crack. Theoretical and Applied Fracture Mechanics 26, 141-149.