{"title":"Soliton-Like Dispersive Lamb Waves in an Anisotropic Layer","authors":"A. V. Ilyashenko","doi":"10.1134/S0025654425600187","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2420 - 2427"},"PeriodicalIF":0.9000,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654425600187","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.