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Time domain method for calculating free field motion of a layered half-space subjected to obliquely incident body waves

Li Shanyou (李山有)1, Zhu Haiyan (朱海燕)2 and Gao Shufang (高淑芳)3

  1. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China
  2. Earthquake Administration of Fujian Province, Fuzhou 350003, China
  3. No.703 Team of Bureau of Geological Exploration of Nonferrous Metals of Heilongjiang Province, Harbin 150300, China

Abstract: In numerical simulation of wave scattering under oblique incident body waves using the finite element method, the free field motion at the incident lateral boundary induced by the background layered half-space complicates the computational area. In order to replace the complex frequency domain method, a time-domain method to calculate the free field motion of a layered half-space subjected to oblique incident body waves is developed in this paper. The new method decouples the equations of motion used in the finite element method and offers an interpolation formula of the free field motion. This formula is based on the fact that the apparent horizontal velocity of the free field motion is constant and can be calculated exactly. Both the theoretical analysis and numerical results demonstrate that the proposed method offers a high degree of accuracy.

Keywords: layered half-space; wave scattering; obliquely incidence; artificial boundary; explicit finite element method; Snell law

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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.