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Anti-plane deformations around arbitrary-shaped canyons on a wedge-shape half-space: moment method solutions

Nazaret Dermendjian1, Vincent W. Lee2 and Jianwen Liang (梁建文)3

  1. Department of Civil Engineering & Applied Mechanics, California State University, Northridge, California 91330-8347, USA

  2. Department of Civil & Environmental Engineering, University of Southern California, Los Angeles, California, 90089-2531, USA

  3. School of Civil Engineering, Tianjin University, Tianjin 300072, China.

Abstract: The wave propagation behavior in an elastic wedge-shaped medium with an arbitrary shaped cylindrical canyon at its vertex has been studied. Numerical computation of the wave displacement field is carried out on and near the canyon surfaces using weighted-residuals (moment method). The wave displacement fields are computed by the residual method for the cases of elliptic, circular, rounded-rectangular and flat-elliptic canyons. The analysis demonstrates that the resulting surface displacement depends, as in similar previous analyses, on several factors including, but not limited, to the angle of the wedge, the geometry of the vertex, the frequencies of the incident waves, the angles of incidence, and the material properties of the media. The analysis provides intriguing results that help to explain geophysical observations regarding the amplification of seismic energy as a function of site conditions.

Keywords: weighted-residual; moment method; wedge half-space; arbitrary-shaped: cicular, elliptic, rectangular canyons

 

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Copyright 2009 IEM. Journal of Earthquake Engineering and Engineering Vibration. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as described below, without written permission from the Publisher. Copying of articles is not permitted except for personal and internal use, to the extent permitted by national copyright law, or under the terms of a license issued by the National Reproduction Rights Organization of China.