WAVES AT A FLEXIBLY BONDED INTERFACE
WAVES AT A FLEXIBLY BONDED INTERFACE
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DOI：
10.1115/1.3607854
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发表时间：
1967-01-01
期刊：
影响因子：
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通讯作者：
WHITTIER, JS
中科院分区：
文献类型：
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作者：
JONES, JP;WHITTIER, JS
研究了用弹性键连接在平面界面上的两个不同半空间的平面应变-弹性波传播。假设键厚度相对于波长较小，并对键行为进行了适当的简化描述。重点关注界面波沿键传播的解。发现界面波的存在是由一个涉及键刚度和波长的参数控制的。无限刚性键的极限情况对应于最初由Stoneley解决的界面波问题，并表明本分析在该极限下得到Stoneley频率方程。此外，发现无限软键的极限情况如预期的那样会产生两个瑞利表面波，每种介质中各有一个。分析表明，对于中间键刚度，根据键和介质的性质，可能会出现零、一或两个界面波。给出了说明性数值算例。本研究的结论是，必须考虑到键的刚度和扰动的波长，才能适当地说在键合界面上存在或不存在界面波。
Plane strain-elastic wave propagation is studied for two dissimilar half spaces joined together at a plane interface by an elastic bond. The bond thickness is assumed to be small compared to the wavelength, and an appropriately simplified description of the bond behavior is introduced. Attention is focused on solutions corresponding to the propagation of interface waves along the bond. The existence of interface waves is found to be governed by a parameter involving bond stiffness and wavelength. The limiting case of an infinitely stiff bond corresponds to the interface wave problem first solved by Stoneley, and it is shown that the present analysis yields Stoneley’s frequency equation in this limit. Also, the limiting case of an infinitely soft bond is found as expected to give two Rayleigh surface waves, one in each medium. It is shown analytically that, for intermediate bond stiffnesses, there may occur zero, one, or two interface waves, depending on the properties of the bond and the media. Illustrative numerical examples are presented. It is the conclusion of this study that account must be taken of the stiffness of the bond and the wavelength of the disturbance before it is proper to speak of an interface wave existing or not existing at a bonded interface.