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Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly
2005 Vol.6 No.9 P.950-955
Waves scattering induced by an interface crack in a coated material
Abstract: This paper deals with the two-dimensional problem of elastic wave scattering from a finite crack at the interface between a coated material layer and its substrate. By adopting the Fourier transform method and introducing the crack opening displacement function, the boundary value problem is simplified for numerically solving a system of Cauchy-type singular integral equations by means of Jacobi polynomial expansion. The stress intensity factors and the crack opening displacements are defined in terms of the integral equations solutions. The influence of the dimensionless wave number and the ratio of crack length to layer thickness on the stress intensity factors and crack opening displacements are discussed.
Key words: Wave scattering, Interfacial crack, Coated materials
References:
[1] Feng, W.J., 1999. The Scattering of Elastic Waves by Multiple Cylindrical Interface Cracks and the Elastic Wave Identification of Two Dimensional Flaws. Ph.D Thesis. Harbin Institute of Technology (in Chinese).
[2] Qu, J.M., 1994. Interface crack loaded by a time harmonic plane wave. Int. J. Solids Structures, 31(3):329-345.
[3] Qu, J.M., 1995. Scattering of plane waves from an interface crack. Int. J. Engrg. Sci., 33(2):179-194.
[4] Shen, S.P., Kuang, Z.B., Nishioka, T., 2000. Wave scattering from an interface crack in multileveled piezoelectric plate. Eur. J. Mech. A/Solids, 19:547-559.
[5] Wang, X.Y., 1997. The Generalized Interlayer Modal in Interface Fracture and the Scattering of Elastic Waves by An Interface Cylindrical Crack. Ph.D Thesis, Harbin Institute of Technology (in Chinese).
[6] Wang, X.D., 2001. On the dynamic behavior of interacting interfacial cracks in piezoelectric media. International Journal of Solids and Structures, 38:815-831.
[7] Wu, K.C., 2004. Diffraction of a plane stress wave by a semi-infinite crack in a general an isotropic elastic material. Wave Motion, 40:359-372.
[8] Yang, H.J., Bogy, D.B., 1985. Elastic wave scattering from an interface crack in a layered half space. ASME J. Appl. Mech., 52:42-50.
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DOI:
10.1631/jzus.2005.A0950
CLC number:
O347.4
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Received:
2005-03-01
Revision Accepted:
2005-04-05
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