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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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：研究了存在于各向异性薄板无应力边缘附近的波的存在，色散特性，速度和能量。从质量上显示了一些新的效果：在弯曲波之间，瑞利型波的速度可能不最小；波的衰减随着振荡而发生；在某种各向异性下，潮流可以等于零，并且可以改变正负号。著名的Leontovich-Lighthill定理不再成立。尽管相位和群速度的符号相同，但是功率流可以具有相同和相反的符号。

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来源
《NATO Advanced Research Workshop on Surface Waves in Anisotropic and Laminated Bodies and Defects Detection; 20011030-1102; Moscow(RU)》|2001年|P.173-186|共14页
会议地点 Moscow(RU)
作者
D. D. ZAKHAROV;
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作者单位

Inst. for Problems in Mechanics, 101-1 Vernadsky avenue, 117526 Moscow, Russia;

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会议组织
原文格式 PDF
正文语种 eng
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;尺度不变性;非尺度性;谱核;空间核;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

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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

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EDGE LOCALISED BENDING WAVES IN ANISOTROPIC MEDIA: ENERGY AND DISPERSION

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