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Axisymmetric Elastodynamic Response from a Penny-Shaped Interface Crack in Layered Composites

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Computational Mechanics ’88

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Summary

This paper is concerned with the scattering of time harmonic longitudinal wave by a penny-shaped interface crack in layered composites. By Hankel and Abel integral transform, the problem is reduced to a set of singular integral equations which are treated numerically by Jacobi polynomials. The improper integrals in the equations are delt with by contour integral technique so that the accuracy of numerically computing is guaranteed. As an example, the scattering surface displacement field of elastic wave by a penny-shaped interface crack in a layered half space has been investigated in far field case. The theoretical results show that the surface displacements are composed of Rayleigh-Like-Mode waves predominantly. The scattered amplitudes for the first two modes are plotted versus the incident frequency, and it is observed that the multi-resonances occur in a frequency range.

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References

  1. Ma **ngrui et al., Proc. of ICMD, 1987, Shenyang, China, 678–681.

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  2. Srivastava, K.N. et al., Int.J.Fracture, 15(1979) 591–599.

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  3. Erdogan, F., SIAM J.Math., 17(1969) 1041–1065.

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Author information

Authors and Affiliations

  1. Department of Applied Mechanics, Harbin Institute of Technology, Harbin, China

    Zou Zhenzhu, Ma **ngrui, Huang Wenhu & Shao Chengxun

Authors
  1. Zou Zhenzhu
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  2. Ma **ngrui
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  3. Huang Wenhu
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  4. Shao Chengxun
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Editor information

Editors and Affiliations

  1. Center for the Advancement of Computational Mechanics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    S. N. Atluri

  2. Department of Nuclear Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113, Japan

    G. Yagawa

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© 1988 Springer-Verlag Berlin Heidelberg

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Zhenzhu, Z., **ngrui, M., Wenhu, H., Chengxun, S. (1988). Axisymmetric Elastodynamic Response from a Penny-Shaped Interface Crack in Layered Composites. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_82

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  • DOI: https://doi.org/10.1007/978-3-642-61381-4_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

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