各向异性层中的类孤子色散兰姆波

IF 0.9 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-10-08 DOI:10.1134/S0025654425600187

A. V. Ilyashenko

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引用次数: 0

摘要

对于具有任意弹性各向异性的各向异性层，构造了谐波平面Lamb波的色散关系，并分析了无限小频率（类孤子波）下对称基模的解。得到了兰姆波的频散方程，并给出了相应的极限值。

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Soliton-Like Dispersive Lamb Waves in an Anisotropic Layer

For an anisotropic layer with arbitrary elastic anisotropy, dispersion relations for harmonic plane Lamb waves are constructed, and an analysis of solutions for a symmetric fundamental mode at an infinitely small frequency (soliton-like waves) is performed. Dispersion equations for Lamb waves, including the corresponding limiting values, are obtained in explicit form.

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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.