Scattering of Anti-Plane Shear Waves in a Functionally Graded Material Strip With an Off-Center Vertical Crack

LI Lin; ZHOU Zhen-gong; WANG Biao

Volume 27 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(6): 646-654

LI Lin, ZHOU Zhen-gong, WANG Biao. Scattering of Anti-Plane Shear Waves in a Functionally Graded Material Strip With an Off-Center Vertical Crack[J]. Applied Mathematics and Mechanics, 2006, 27(6): 646-654.

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Scattering of Anti-Plane Shear Waves in a Functionally Graded Material Strip With an Off-Center Vertical Crack

1.
Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P. R. China;

Received Date: 2004-10-15
Rev Recd Date: 2006-02-26
Publish Date: 2006-06-15

Abstract

Abstract

The scattering problem of anti_plane shear waves in a functionally graded material strip with an off_center crack is investigated by use of Schmidt method.The crack is vertically to the edge of the strip.By using the Fourier transform,the problem can be solved with the help of a pair of dual integral equations that the unknown variable is the jump of the displacement across the crack surfaces.To solve the dual integral equations,the jump of the displacement across the crack surfaces was expanded in a series of Jacobi polynomials.Numerical examples were provided to show the effects of the parameter describing the functionally graded materials,the position of the crack and the frequency of the incident waves upon the stress intensity factors of the crack.
- crack,
- elastic wave,
- functionally graded material

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References(16)

References

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