A Green Function of Vertical Interfacial Point Source SH Wave Scattering by a Circular Lining in an Elastic Quarter Space

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An anti-plane Green function is formulated for steady state solution of a circular lining impacted by a vertical interfacial point source in an elastic quarter space. Series forms of scattering and stationary wave of the circular lining are constructed with Fourier wave function expansion method. Basic solution of the anti-plane point source is employed to represent displacement fields of incident wave. Stress-free conditions on the quarter bounds are satisfied by using image method. Displacement and stress continuity conditions of the lining are expanded as Fourier series to determine definite equations of unknown coefficients of wave function series.

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1569-1572

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Y.H. Pao, C.C. Mow: Diffraction of Elastic Waves and Dynamic Stress Concentrations (Crane & Russak, New York 1973).

Google Scholar

[2] J.D. Achenbach: Wave Propagation in Elastic Solids (North-Holland, Amsterdam 1973).

Google Scholar

[3] D.K. Liu, B.Z. Gai, G.Y. Tao: Wave Motion Vol. 4 (1982), p.293.

Google Scholar

[4] H. Qi, J. Yang, Y. Shi: Journal of Mechanics Vol. 27 (2011), p.37.

Google Scholar

[5] H. Qi, J. Yang, J.Y. Tian: Journal of Mechanics Vol. 28 (2012), p.143.

Google Scholar

[6] H. Qi, J. Yang: European Journal of Mechanics - A/Solids Vol. 36 (2012), p.18.

Google Scholar

[7] F. Martin, S. Matsushima, H. Kawase: Bulletin of the Seismological Society of America Vol. 103 (2013), p.3289.

Google Scholar

[8] T.V. Rangelov, G.D. Manolis: Mechanics Research Communications Vol. 56 (2014), p.90.

Google Scholar

[9] H.M. Shodja, H. Jarfi, E. Rashidinejad: Mechanics of Materials Vol. 75 (2014), p.1.

Google Scholar

[10] T.D. Williams, W.J. Parnell: Quarterly Journal of Mechanics and Applied Mathematics Vol. 67 (2014), p.311.

Google Scholar