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首页> 外文会议>Proceedings of the 28th international conference on ocean, offshore and arctic engineering 2009 >EFFECTIVE MEDIUM PROPERTIES OF PERIODIC ELASTIC LAYERS BY HOMOGENIZATION
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EFFECTIVE MEDIUM PROPERTIES OF PERIODIC ELASTIC LAYERS BY HOMOGENIZATION

机译：均质作用的周期性弹性层的有效介质性质

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摘要

In this study, we examine effective modes of acoustic waves in periodic solid layers embedded in ideal or viscous fluids. In particular, at the long-wavelength limit, a three-scale homoge-nization analysis is developed to derive the effective group velocities in analytical forms for the shear-vertical (SV) waves as well as for the longitudinal-shear-horizontal (P-SH) waves. It is found that propagating modes, i.e., modes with real group velocities, may be supported even if the fluid phase is viscous. A criterion for the existence of a vanishing effective viscosity is derived based on composite medium constants and the filling ratio of the fluid phase. The critical filling ratios at which an evanescent mode changes to a propagating mode are given for various solid-water systems. Finally, we would like to acknowledge that the analysis presented here benefited greatly from the article drawn attention to the first author by Prof. Mei some ten years ago: "C. Mei, J-L. Auriault, and C. O. Ng (1996) Some Applications of the Homogenization Theory, Advances in Applied Mechanics, Vol. 32, edited by J. Hutchinson and T. Y. Wu, Academic Press, New York."
机译：在这项研究中，我们研究了理想或粘性流体中嵌入的周期性固体层中声波的有效模式。特别是，在长波长范围内，进行了三尺度均化分析，以解析形式获得了剪切-垂直（SV）波和纵向-剪切-水平（P -SH）波。已经发现，即使流体相是粘性的，也可以支持传播模式，即具有真实群速度的模式。基于复合介质常数和液相的填充率，得出有效粘度消失的判据。对于各种固体水系统，给出了从消逝模式改变为传播模式的临界填充率。最后，我们想承认，本文所介绍的分析得益于10年前梅教授的第一作者的关注：“ C。Mei，JL。Auriault和Ng（1996） “均质化理论，应用力学进展”，第32卷，由J. Hutchinson和TY Wu编辑，纽约学术出版社。”

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  • 会议地点 Honolulu HI(US);Honolulu HI(US);Honolulu HI(US)
  • 作者

    Ying-Hong Liu; Chien C. Chang; Chih-Yu Kuo;

  • 作者单位

    Division of Mechanics Research Center for Applied Sciences, Academia Sinica Taipei 115, Taiwan (ROC) Division of Mechanics Institute of Applied Mechanics, National Taiwan University Taipei 106, Taiwan (ROC);

    Division of Mechanics Research Center for Applied Sciences, Academia Sinica Taipei 115, Taiwan (ROC) Division of Mechanics Institute of Applied Mechanics, National Taiwan University Taipei 106, Taiwan (ROC);

    Division of Mechanics Research Center for Applied Sciences, Academia Sinica Taipei 115, Taiwan (ROC) Division of Mechanics Institute of Applied Mechanics, National Taiwan University Taipei 106, Taiwan (ROC);

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  • 正文语种 eng
  • 中图分类 海洋工程;
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