Wave scattering from an interface crack in multilayered piezoelectric plate

European Journal of Mechanics, A/Solids

Volumn 19, Issue 3, 2000, Pages 547-559

  Shen, Shengping ^a   Kuang, Zhen Bang ^a   Nishioka, Toshihisa ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b KOBE UNIVERSITY OF MERCANTILE MARINE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY VALUE PROBLEMS; CRACK PROPAGATION; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); NATURAL FREQUENCIES; PIEZOELECTRICITY; PLATES (STRUCTURAL COMPONENTS); SCATTERING; STIFFNESS MATRIX;

INTERFACE CRACK;

PIEZOELECTRIC MATERIALS;

EID: 0034188322     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(00)00165-0     Document Type: Article

References (25)

1. Achenbach J., 1973. Wave Propagation in Elastic Solids. North-Holland, Oxford.
2. Achenbach J., Gautesen A., 1978. A ray theory for elastodynamic stress intensity factor. J. Appl. Mech. 40, 123.
3. Alshits V., Barnett D.M., Darinskii A.N., Lothe J., 1994. On the existence problem for localized acoustic waves on the interface between two piezocrystals. Wave Motion 20, 233.
4. Bostrom A., 1987. Elastic wave scattering from an interface crack: Antiplane strain. J. Appl. Mech. 54, 503.
5. Chatterjee S.N., 1977. On interlaminar defects in laminated composites. In: Modern Developments in Composite Materials and Structures, ASME.
6. Choi H.J., Thangjitham S., 1991. Stress analysis of multilayered anisotropic media. J. Appl. Mech. 58, 382.
7. Datta, S.K., 1978. Scattering of elastic waves. In: Nemat-Nasser S. (Ed.), Mechanics Today, Vol. 4, Pergamon Press.
8. Davis P.J., Rabinowitz P., 1984. Methods of Numerical Integration. Academic Press, Orlando, FL.
9. Erdogan F., 1969. Approximate solutions of singular integral equations. SIAM J. Appl. Math. 17.
10. Erdogan F., 1984. Mixed boundary value problems in mechanic. In: Nemat-Nasser S. (Ed.), Mechanics Today, Vol. 4, Pergamon Press, Oxford.
11. Friedman B., 1969. Lectures on Applications Oriented Mathematics. Holden Dey, Sun Francisco.
12. Gradshteyn I.S., Ryzhik I.M., 1980. Table of Integrals, Series and Products. Academic Press, New York.
13. Heitman W., van den Berg P., 1975. Diffraction of electromagnetic waves by a semi-infinite screen in a layered medium. Can. J. Phys. 53, 1305.
14. Karpenko L.N., 1966. Approximate solution of singular integral equation by means of Jacobi polynomials. PMM 30, 688.
15. Mal, A.K., 1970a. Interaction of elastic waves with a Griffith crack. Int. J. Engrg. Sci. 8, 763.
16. Mal, A.K., 1970b. Interaction of elastic waves with a penny-shaped crack. Int. J. Engrg. Sci. 8, 381.
17. Muskhelishvilli N.I., 1953. Singular Integral Equations. P. Noordhoft, Groninger, Holland.
18. Kuo C.M., Barnett D.M., 1991. Stress singularities of interfacial cracks in bounded piezoelectric half-spaces. In: Wu J.J., Ting T.C.T. and Barnett D.M. (Eds.), Modern Theory of Anisotropic Elasticity and Applications, SIAM.
19. Qu J., 1994. Interface crack loaded by a timeharmonic plane wave. Int. J. Solids Struc. 31, 329.
20. Shen S., Kuang Z., 1998. Wave scattering in laminated anisotropic media. Mech. Res. Comm. 25, 509.
21. Shen S., Kuang Z., Hu S., 1999. On interface crack in laminated anisotropic medium. Int. J. Solids Struc. 36, 4251.
22. Suo Z., Kuo C.M., Barnett D.M., Willis J.R., 1992. Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids 40, 739.
23. Varadan V.V., Roh Y.R., Varadan V.K., Tancrell R.H., 1989. Measurement of all the elastic and dielectric constants of poled PVDF films. In: Ultrasonics Symposium, IEEE, Montreal, Quebec, Canada, pp. 727-730.
24. Yang H.J., Bogy D.B., 1985. Elastic wave scattering from an interface crack in a layered half-space. J. Appl. Mech. 52, 42.
25. Yang X.Y., Shen S., Kuang Z., 1997. The degenerate solution for piezothermoelastic materials, Eur. J. Mech. A/Solids 16, 779.