| 各向异性固体弹性介质中群速度的解析表达式 |
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| 引用本文： | 钮金真,沈建中.各向异性固体弹性介质中群速度的解析表达式[J].湖南科技大学学报(自然科学版),2002,17(2):92-94. |
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| 作者姓名： | 钮金真 沈建中 |
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| 作者单位： | 1. 中央民族大学,物理与电子工程系,北京,100081
2. 中国科学院声学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金资助 (编号 1 98740 70 ) |
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| 摘 要： | 通过引入一个仅仅与介质弹性常数有关的矩阵M ,将Christoffel系数矩阵分解成M和一个与波传播方向有关的矢量 P两个部分的乘积 .由此推导出适用于计算各种各向异性固体弹性介质弹性波群速度的普适解析表达式 .群速度作为弹性波波矢的函数 .在特殊对称性方向上该解析表达式的结果与已有文献的结果一致 .利用Matlab软件数值求解Chritoffel方程 ,得到对应于任意方向上的相速度 .图 2 ,参 7.
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| 关 键 词： | 各向异性弹性介质 相速度 群速度 |
| 文章编号： | 1000-9930(2002)02-0092-03 |
| 修稿时间： | 2001年10月15 |
Analytic expression calculating group velocity for anisotropic elastic media |
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| NIU Jin-zhen ,SHEN Jian-zhong.Analytic expression calculating group velocity for anisotropic elastic media[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2002,17(2):92-94. |
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| Authors: | NIU Jin-zhen SHEN Jian-zhong |
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| Institution: | NIU Jin-zhen 1,SHEN Jian-zhong 2 |
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| Abstract: | The Christoffel matrix was decomposed to two parts,which are a matrix M and a vector .M is solely a function of elastic constants,and is of the wave propagation direction. Based on this,the general analytical formula to calculate the group velocities of elastic waves in an elastic medium was deduced. The group velocities are functions of the wave vector of elastic waves. The results deduced from the general formula in the special symmetrical directions are identical with the one of the publications. The Christoffel equation could be solved by means of MATLAB software to find all the phase velocities in any wave direction.2tabs.,7refs. |
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| Keywords: | anisotropic elastic media group velocity phase velocity |
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