{"title":"三相滞后热弹性条件下两温扩散瑞利波的传播","authors":"","doi":"10.1016/j.joes.2022.02.003","DOIUrl":null,"url":null,"abstract":"<div><p>The primary objective of this research problem is to analyze the Rayleigh wave propagation in homogeneous isotropic half space with mass diffusion in Three Phase Lag (TPL) thermoelasticity at two temperature. The governing equations of thermodiffusive elastic half space have been solved using the normal mode analysis in order to obtain the Rayleigh wave frequency equation at relevant boundary conditions. The variation of various parameters like non-dimensional speed, attenuation coefficient, penetration depth and specific loss corresponding to thermodiffusion parameter, relaxation time, wave number and frequency has been obtained. The effect of these parameters on Rayleigh wave propagation in thermoelastic half space are graphically demonstrated and variations of all these parameters have been compared within Lord–Shulman (L-S), Green–Nagdhi (GN-III) and Three Phase Lag (TPL) theory of thermoelasticity.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":null,"pages":null},"PeriodicalIF":13.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013322000286/pdfft?md5=4ad94f546d7e8c133524f526fe7067b3&pid=1-s2.0-S2468013322000286-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Rayleigh wave propagation with two temperature and diffusion in context of three phase lag thermoelasticity\",\"authors\":\"\",\"doi\":\"10.1016/j.joes.2022.02.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The primary objective of this research problem is to analyze the Rayleigh wave propagation in homogeneous isotropic half space with mass diffusion in Three Phase Lag (TPL) thermoelasticity at two temperature. The governing equations of thermodiffusive elastic half space have been solved using the normal mode analysis in order to obtain the Rayleigh wave frequency equation at relevant boundary conditions. The variation of various parameters like non-dimensional speed, attenuation coefficient, penetration depth and specific loss corresponding to thermodiffusion parameter, relaxation time, wave number and frequency has been obtained. The effect of these parameters on Rayleigh wave propagation in thermoelastic half space are graphically demonstrated and variations of all these parameters have been compared within Lord–Shulman (L-S), Green–Nagdhi (GN-III) and Three Phase Lag (TPL) theory of thermoelasticity.</p></div>\",\"PeriodicalId\":48514,\"journal\":{\"name\":\"Journal of Ocean Engineering and Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":13.0000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2468013322000286/pdfft?md5=4ad94f546d7e8c133524f526fe7067b3&pid=1-s2.0-S2468013322000286-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Ocean Engineering and Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2468013322000286\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MARINE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Ocean Engineering and Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2468013322000286","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MARINE","Score":null,"Total":0}
引用次数: 0
摘要
本研究问题的主要目的是分析在两个温度下三相滞后(TPL)热弹性中带有质量扩散的均质各向同性半空间中的瑞利波传播。利用法模分析法求解了热扩散弹性半空间的支配方程,从而得到了相关边界条件下的瑞利波频率方程。得到了非尺寸速度、衰减系数、穿透深度和比损耗等各种参数与热扩散参数、弛豫时间、波数和频率相对应的变化。这些参数对瑞利波在热弹性半空间中传播的影响以图表形式展示,所有这些参数的变化都在热弹性的 Lord-Shulman (L-S)、Green-Nagdhi (GN-III) 和 Three Phase Lag (TPL) 理论中进行了比较。
Rayleigh wave propagation with two temperature and diffusion in context of three phase lag thermoelasticity
The primary objective of this research problem is to analyze the Rayleigh wave propagation in homogeneous isotropic half space with mass diffusion in Three Phase Lag (TPL) thermoelasticity at two temperature. The governing equations of thermodiffusive elastic half space have been solved using the normal mode analysis in order to obtain the Rayleigh wave frequency equation at relevant boundary conditions. The variation of various parameters like non-dimensional speed, attenuation coefficient, penetration depth and specific loss corresponding to thermodiffusion parameter, relaxation time, wave number and frequency has been obtained. The effect of these parameters on Rayleigh wave propagation in thermoelastic half space are graphically demonstrated and variations of all these parameters have been compared within Lord–Shulman (L-S), Green–Nagdhi (GN-III) and Three Phase Lag (TPL) theory of thermoelasticity.
期刊介绍:
The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science.
JOES encourages the submission of papers covering various aspects of ocean engineering and science.