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On free wave propagation in anisotropic layered media

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Abstract

The method of reverberation-ray matrix (MRRM) is extended and modified for the analysis of free wave propagation in anisotropic layered elastic media. A general, numerically stable formulation is established within the state space framework. The compatibility of physical variables in local dual coordinates gives the phase relation, from which exponentially growing functions are excluded. The interface and boundary conditions lead to the scattering relation, which avoids matrix inversion operation. Numerical examples are given to show the high accuracy of the present MRRM.

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Author notes

  1. Yongqiang Guo

    Present address: Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, and School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

Authors and Affiliations

  1. Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education; Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, China

    Yongqiang Guo & Weiqiu Chen

Authors
  1. Yongqiang Guo
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  2. Weiqiu Chen
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Corresponding author

Correspondence to Weiqiu Chen.

Additional information

Project supported by the National Natural Science Foundation of China (Nos.10725210, 10832009 and 10432030), the Specialized Research Fund for the Doctoral Program of Higher Education (No.20060335107) and the Program for New Century Excellent Talents in University (No.NCET-05-05010).

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Guo, Y., Chen, W. On free wave propagation in anisotropic layered media. Acta Mech. Solida Sin. 21, 500–506 (2008). https://doi.org/10.1007/s10338-008-0860-z

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  • DOI: https://doi.org/10.1007/s10338-008-0860-z

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