{"title":"Acoustic nonlinearity parameters in hyperelastic solids with quadratic nonlinearity","authors":"Jianmin Qu","doi":"10.1016/j.ultras.2025.107621","DOIUrl":null,"url":null,"abstract":"<div><div>In general, the nonlinear behavior of an elastic wave in isotropic hyperelastic solids with quadratic nonlinearity depends on five independent elastic constants, namely, the three third-order elastic constants and two second-order elastic constants. In this article, we show that such nonlinear behavior can be described fully by only three independent non-dimensional parameters if the wave motion is two-dimensional. Furthermore, if the motion is a plane wave, only two independent non-dimensional parameters are needed to fully describe the nonlinear behavior of the wave. These results are useful for conducting numerical simulations and for interpreting experimental measurement data.</div></div>","PeriodicalId":23522,"journal":{"name":"Ultrasonics","volume":"151 ","pages":"Article 107621"},"PeriodicalIF":3.8000,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ultrasonics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0041624X25000587","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In general, the nonlinear behavior of an elastic wave in isotropic hyperelastic solids with quadratic nonlinearity depends on five independent elastic constants, namely, the three third-order elastic constants and two second-order elastic constants. In this article, we show that such nonlinear behavior can be described fully by only three independent non-dimensional parameters if the wave motion is two-dimensional. Furthermore, if the motion is a plane wave, only two independent non-dimensional parameters are needed to fully describe the nonlinear behavior of the wave. These results are useful for conducting numerical simulations and for interpreting experimental measurement data.
期刊介绍：
Ultrasonics is the only internationally established journal which covers the entire field of ultrasound research and technology and all its many applications. Ultrasonics contains a variety of sections to keep readers fully informed and up-to-date on the whole spectrum of research and development throughout the world. Ultrasonics publishes papers of exceptional quality and of relevance to both academia and industry. Manuscripts in which ultrasonics is a central issue and not simply an incidental tool or minor issue, are welcomed.
As well as top quality original research papers and review articles by world renowned experts, Ultrasonics also regularly features short communications, a calendar of forthcoming events and special issues dedicated to topical subjects.
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