EDGE LOCALISED BENDING WAVES IN ANISOTROPIC MEDIA: ENERGY AND DISPERSION

机译：各向异性介质中的边缘局部弯曲波：能量和色散

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摘要

Existence, dispersion properties, velocities and energy of waves, localized near the stress-free edge of thin anisotropic plates, are investigated. Some qualitatively new effects are shown: velocity of Rayleigh type waves can be not minimal between bending waves; wave decay takes place with oscillations; under some type of anisotropy power flow can equal zero, and can change the sign. The famous Leontovich-Lighthill theorem does not hold any longer; despite the same sign of the phase and group velocities the power flow can have the same and opposite sign.

机译：研究了薄透明板的无应力边缘的波的存在，分散性，速度和能量，局部局部化。一些定性新的效果显示：瑞利型波的速度在弯曲波之间不会最小;波衰减用振荡进行;在某种类型的各向异性电流下可以等于零，可以改变标志。着名的Leontovich-Lighthill定理不再持有;尽管相同的阶段和群体速度的迹象，功率流量可以具有相同和相反的标志。

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来源
《NATO Advanced Research Workshop on Surface Waves in Anisotropic and Laminated Bodies and Defects Detection》|2004年||共14页
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作者
D. D. ZAKHAROV; NATO;
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原文格式 PDF
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中图分类 O315.02;
关键词
nonlinear surface waves; elasticity; rayleigh waves; scale invariance; nonlo-cality; spectral kernel; spatial kernel; hilbert transform;

机译：非线性表面波;弹性;瑞利波;规模不变性;非光度;光谱核;空间内核;希尔伯特变换;

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1. On the Energy Flux of Stationary Electromagnetic Waves in Anisotropic Dissipative Media with Spatial Dispersion [J] . M. D. Tokman, E. Westerhof, M. A. Gavrilova Journal of Experimental and Theoretical Physics . 2000,第6期

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2. Bending, splitting, compressing and expanding of electromagnetic waves in infinitely anisotropic media [J] . Zhang Youming, Zhang Baile Journal of optics . 2018,第1期

机译：无限各向异性介质的电磁波弯曲，分裂，压缩和扩展
3. Rayleigh type bending waves in anisotropic media [J] . Zakharov DD., Becker W. Journal of Sound and Vibration . 2003,第5期

机译：各向异性介质中的瑞利型弯曲波
4. EDGE LOCALISED BENDING WAVES IN ANISOTROPIC MEDIA: ENERGY AND DISPERSION [C] . D. D. ZAKHAROV, NATO NATO Advanced Research Workshop on Surface Waves in Anisotropic and Laminated Bodies and Defects Detection . 2004

机译：各向异性介质中的边缘局部弯曲波：能量和色散
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EDGE LOCALISED BENDING WAVES IN ANISOTROPIC MEDIA: ENERGY AND DISPERSION

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