Rajesh Kumar, Vipin Gupta, Vijayata Pathania, Rajneesh Kumar, M. S. Barak
{"title":"具有非局部双相位滞后的不同介质边界面波的分析","authors":"Rajesh Kumar, Vipin Gupta, Vijayata Pathania, Rajneesh Kumar, M. S. Barak","doi":"10.1007/s40010-023-00850-y","DOIUrl":null,"url":null,"abstract":"<div><p>This study discusses the behavior of plane waves in a double porous thermoelastic with nonlocal dual-phase-lag solid half-space <span>\\((M_{1} )\\)</span> in contact with inviscid liquid half-space <span>\\((M_{2} )\\)</span>. The governing equations are expressed in two-dimensional form, and normal mode analysis is adopted to solve the problem for further investigation. It has been found that there exist four coupled longitudinal, one transverse wave in the medium <span>\\(M_{1}\\)</span>, and one mechanical wave in the medium <span>\\(M_{2}\\)</span>. These waves are under the influence of parameters of nonlocal dual-phase-lag and double porosity. Secular equations are determined by applying interfacial mechanical and thermal conditions. The compact form of wave characteristics like phase velocity, attenuation coefficient, penetrating depth, and specific loss is obtained. The component of displacement, temperature change, and volume fraction fields in the medium <span>\\(M_{1}\\)</span>, along with normal velocity and acoustic pressure in the medium, <span>\\(M_{2}\\)</span> are obtained in closed form. Numerically simulated results are displayed in the form of graphs to depict the behavior of nonlocal and phase lag on basic characteristics of waves.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"93 4","pages":"573 - 585"},"PeriodicalIF":0.8000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of Waves at Boundary Surfaces at Distinct Media with Nonlocal Dual-Phase-Lag\",\"authors\":\"Rajesh Kumar, Vipin Gupta, Vijayata Pathania, Rajneesh Kumar, M. S. Barak\",\"doi\":\"10.1007/s40010-023-00850-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study discusses the behavior of plane waves in a double porous thermoelastic with nonlocal dual-phase-lag solid half-space <span>\\\\((M_{1} )\\\\)</span> in contact with inviscid liquid half-space <span>\\\\((M_{2} )\\\\)</span>. The governing equations are expressed in two-dimensional form, and normal mode analysis is adopted to solve the problem for further investigation. It has been found that there exist four coupled longitudinal, one transverse wave in the medium <span>\\\\(M_{1}\\\\)</span>, and one mechanical wave in the medium <span>\\\\(M_{2}\\\\)</span>. These waves are under the influence of parameters of nonlocal dual-phase-lag and double porosity. Secular equations are determined by applying interfacial mechanical and thermal conditions. The compact form of wave characteristics like phase velocity, attenuation coefficient, penetrating depth, and specific loss is obtained. The component of displacement, temperature change, and volume fraction fields in the medium <span>\\\\(M_{1}\\\\)</span>, along with normal velocity and acoustic pressure in the medium, <span>\\\\(M_{2}\\\\)</span> are obtained in closed form. Numerically simulated results are displayed in the form of graphs to depict the behavior of nonlocal and phase lag on basic characteristics of waves.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"93 4\",\"pages\":\"573 - 585\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-023-00850-y\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00850-y","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Analysis of Waves at Boundary Surfaces at Distinct Media with Nonlocal Dual-Phase-Lag
This study discusses the behavior of plane waves in a double porous thermoelastic with nonlocal dual-phase-lag solid half-space \((M_{1} )\) in contact with inviscid liquid half-space \((M_{2} )\). The governing equations are expressed in two-dimensional form, and normal mode analysis is adopted to solve the problem for further investigation. It has been found that there exist four coupled longitudinal, one transverse wave in the medium \(M_{1}\), and one mechanical wave in the medium \(M_{2}\). These waves are under the influence of parameters of nonlocal dual-phase-lag and double porosity. Secular equations are determined by applying interfacial mechanical and thermal conditions. The compact form of wave characteristics like phase velocity, attenuation coefficient, penetrating depth, and specific loss is obtained. The component of displacement, temperature change, and volume fraction fields in the medium \(M_{1}\), along with normal velocity and acoustic pressure in the medium, \(M_{2}\) are obtained in closed form. Numerically simulated results are displayed in the form of graphs to depict the behavior of nonlocal and phase lag on basic characteristics of waves.