Lamb波的非半单简并

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2024-12-28 DOI:10.1134/S0025654424603458

A. I. Karakozova, S. V. Kuznetsov

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引用次数: 0

摘要

在柯西六分形形式主义的框架下，观察和分析了出现在基阵非半简并处的异常导波。对于具有任意弹性各向异性的无牵引力层中传播的兰姆波，明确地构造了其非半简单简并条件。得到了一种新的色散方程和相应的色散解。讨论了与非瑞利型表面波的关系。

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Non-Semisimple Degeneracy of Lamb Waves

Anomalous guided waves appearing at a non-semisimple degeneracy of the fundamental matrix are observed and analyzed in the framework of the Cauchy sextic formalism. The non-semisimple degeneracy condition is explicitly constructed for the most general case of Lamb waves propagating in a traction-free layer with arbitrary elastic anisotropy. A new type of dispersion equation and the corresponding dispersion solution are obtained. The connection with surface waves of the non-Rayleigh type is discussed.

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.