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Dynamic Green's Functions for Anisotropic Materials Under Anti-Plane Deformation

Published online by Cambridge University Press:  05 May 2011

Kuang-Chong Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
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Abstract

The dynamic Green's function due to an impulse in an infinite anisotropic medium under anti-plane deformation is derived by the method of Smirnov [1] for two-dimensional wave equation. The Green's function is inversely proportional to the time t and an effective dynamic shear modulus. It is shown that the tractions on the planes passing through the source point vanish identically. Based on the free-space Green's function, the Green's functions for wedges, semi-infinite media and strips are obtained.

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Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

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References

1.Smirnov, V. I., A Course of Higher Mathematics, (translated by Brown, D. E.) Pergamon Press, Oxford (1964).Google Scholar
2.Cagniard, L., Reflection and Refraction of Seismic Waves, (translated and revised by Flinn, E. A. and Dix, C. H.) McGraw-Hill, New York (1962).Google Scholar
3.Synge, J. L., “Elastic Waves in Anisotropic Media,” J. Math. Phys., Vol. 35, pp. 323334 (1956).CrossRefGoogle Scholar
4.Wu, K.-C. and Chiu, Y.-T., “Anti-Plane Shear Interface Cracks in Anisotropic Bimaterials,” J. of Appl. Mech., Vol. 58, pp. 399403 (1991).CrossRefGoogle Scholar
5.Ting, T. C. T., Anisotropic Elasticity-Theory and Application, Oxford University Press, New York (1996).Google Scholar

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