{"title":"声波在预变形材料中传播的动态方程","authors":"A. A. Markin, M. Yu. Sokolova","doi":"10.1134/S0025654423601350","DOIUrl":null,"url":null,"abstract":"<p>Two approaches to obtaining dynamic equations for the propagation of small displacement disturbances, based on the use of models of hyperelastic and hypoelastic materials, are considered. It is shown that these equations are interrelated. For the case of a plane monochromatic wave, expressions for the acoustic tensors are obtained. A comparative analysis of the influence of preliminary deformations on the speed of propagation of acoustic waves in isotropic and anisotropic materials was carried out. Effects have been identified that can only be described within the framework of a hypoelastic medium model.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 2","pages":"679 - 688"},"PeriodicalIF":0.6000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Equations for the Propagation of Acoustic Waves in Pre-Deformed Materials\",\"authors\":\"A. A. Markin, M. Yu. Sokolova\",\"doi\":\"10.1134/S0025654423601350\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Two approaches to obtaining dynamic equations for the propagation of small displacement disturbances, based on the use of models of hyperelastic and hypoelastic materials, are considered. It is shown that these equations are interrelated. For the case of a plane monochromatic wave, expressions for the acoustic tensors are obtained. A comparative analysis of the influence of preliminary deformations on the speed of propagation of acoustic waves in isotropic and anisotropic materials was carried out. Effects have been identified that can only be described within the framework of a hypoelastic medium model.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 2\",\"pages\":\"679 - 688\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-09-12\",\"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/S0025654423601350\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654423601350","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Dynamic Equations for the Propagation of Acoustic Waves in Pre-Deformed Materials
Two approaches to obtaining dynamic equations for the propagation of small displacement disturbances, based on the use of models of hyperelastic and hypoelastic materials, are considered. It is shown that these equations are interrelated. For the case of a plane monochromatic wave, expressions for the acoustic tensors are obtained. A comparative analysis of the influence of preliminary deformations on the speed of propagation of acoustic waves in isotropic and anisotropic materials was carried out. Effects have been identified that can only be described within the framework of a hypoelastic medium model.
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.
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