Abstract
The scattering of plane elastic waves by an interface crack between a piezoelectric layer and a homogeneous half-space is analyzed by means of the integral transform and the Cauchy singular integral equation methods. The effects of the crack configuration, the direction of the incident wave and the material combination of the piezoelectric layer and the elastic substrate on the dynamic stress intensity factors are examined. It is found from the numerical calculation that the crack configuration, denoted by the ratio of the crack length to the layer width, and the incident angle of the wave have significant influences on the dynamic response. In addition, the growth of the interface crack may be retarded or accelerated by specifying an appropriate combination of the materials.
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References
Y. Pak, 1990, Crack extension force in a piezoelectric material. Journal of Applied Mechanics, 57, 647–653.
M.L. Dunn, M. Taya, 1994, Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids. Journal of Applied Mechanics, 61, 474–475.
H. Gao, T. Zhang, P. Tong, 1997, Local and global energy rates for an electrically yielded crack in piezoelectric ceramics. Journal of the Mechanics and Physics of Solids, 45, 491–510.
Q.H. Qin, 2000, Fracture Mechanics of Piezoelectric Materials, WIT Press, Southampton.
Q.H. Qin, X. Zhang, 2000, Crack deflection at an interface between dissimilar piezoelectric materials. International Journal of Fracture, 102, 355–370.
Z.T. Chen, S.W. Yu, 1997, Antiplane dynamic fracture mechanics of piezoelectric materials. International Journal of Fracture, 85, L3–L12.
Z.T. Chen, S.W. Yu, 1998, Semi-infinite crack under anti-plane mechanical impact in piezoelectric materials. International Journal of Fracture, 88, L53–L56.
Z.T. Chen, B.L. Karihaloo, 1999, Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. International Journal of Solids and Structures, 36, 5125–5133.
Z.T. Chen, B.L. Karihaloo, S.W. Yu, 1998, A Griffith crack moving along the interface of two dissimilar piezoelectric materials. International Journal of Fracture, 91, 197–203.
X.Y. Wang, S.W. Yu, 2000, Transient response of a crack in piezoelectric strip subjected to mechanical and electrical impacts: mode-I problem. Mechanics of Materials, 33, 11–20.
S.F. Li, P.A. Mataga, 1996, Dynamic crack propagation in piezoelectric materials-Part I: Electrode solution. Journal of the Mechanics and Physics of Solids, 44, 1799–1830.
S.F. Li, P.A. Mataga, 1996, Dynamic crack propagation in piezoelectric materials-Part II: Vacuum solution. Journal of the Mechanics and Physics of Solids, 44, 1831–1866.
F. Narita, Y. Shindo, 1998, Scattering of Love waves by a surface-breaking crack in a piezoelectric layered medium. JSME Internationla Journal, 41, 40–48.
F. Narita, Y. Shindo, 1999, Scattering of antiplane shear waves by a finite crack in piezoelectric laminates. Acta Mechanica 134, 27–43.
S.P. Shen, Z.B. Kuang, 1998, Wave scattering from an interface crack in laminated anisotropic media. Mechanics Research Communication, 25, 509–517.
H.J. Yang, D.B. Bogy, 1985, Elastic wave scattering from an interface crack in a layered half-space. Journal of Applied Mechanics, 52, 42–50.
B. Gu, S.W. Yu, X.Q. Feng, 2002, Elastic wave scattering by an interface crack between a piezoelectric layer and an elastic substrate, Int. J. Fracture, 116, L29–34.
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Gu, B., Yu, SW., Feng, XQ. (2006). Elastic Sv-Wave Scattering by an Interface Crack Between a Piezoelectric Layer and an Elastic Substrate. In: Yang, W. (eds) IUTAM Symposium on Mechanics and Reliability of Actuating Materials. Solid Mechanics and Its Applications, vol 127. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4131-4_12
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DOI: https://doi.org/10.1007/1-4020-4131-4_12
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