{"title":"Transformation of a Longitudinal Elastic Wave into a Pochhammer Wave","authors":"M. N. Krivosheina, E. V. Tuch","doi":"10.1134/S1029959923040094","DOIUrl":null,"url":null,"abstract":"<p>The paper reports on a dynamic finite element simulation of the propagation of longitudinal elastic waves in cylindrical plates and Pochhammer waves in rods. The simulation shows that in cylindrical specimens of compact shape, a single longitudinal wave first propagates till unloading waves from their lateral surfaces start to interact, and then, two types of longitudinal elastic waves propagate at a time. In rods, first comes a longitudinal elastic wave, and then, two concurrent waves—a longitudinal elastic wave and a Pochhammer wave—due to the effect of unloading from their lateral surfaces. With the example of aluminum, it is demonstrated in which range of geometric parameters the elastic properties of near-compact specimens cannot be analyzed by ultrasonic methods.</p>","PeriodicalId":726,"journal":{"name":"Physical Mesomechanics","volume":"26 4","pages":"477 - 482"},"PeriodicalIF":1.8000,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Mesomechanics","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1029959923040094","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
The paper reports on a dynamic finite element simulation of the propagation of longitudinal elastic waves in cylindrical plates and Pochhammer waves in rods. The simulation shows that in cylindrical specimens of compact shape, a single longitudinal wave first propagates till unloading waves from their lateral surfaces start to interact, and then, two types of longitudinal elastic waves propagate at a time. In rods, first comes a longitudinal elastic wave, and then, two concurrent waves—a longitudinal elastic wave and a Pochhammer wave—due to the effect of unloading from their lateral surfaces. With the example of aluminum, it is demonstrated in which range of geometric parameters the elastic properties of near-compact specimens cannot be analyzed by ultrasonic methods.
期刊介绍：
The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.
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