{"title":"半无限介质中广义热弹性的耦合有限元分析","authors":"Leping Zhou, D. Tang, N. Araki","doi":"10.1299/JSMEA.49.195","DOIUrl":null,"url":null,"abstract":"The equations for the extended Lord-Shulman (LS) and Green-Lindsay (GL) models are solved for thermoelastic analysis in a semi-infinite medium by employing a finite element method using the theory of virtual displacement and the implicit Newmark algorithm. Simulations for both one-dimensional (1D) and two-dimensional (2D) models are performed to achieve the best approximation under prescribed boundary conditions. The effects of thermoelastic coupling factors and relaxation parameters on thermomechanical behavior of the medium are discussed for the two models. The results are consistent with our previous work using the Laplace transformation method.","PeriodicalId":170519,"journal":{"name":"Jsme International Journal Series A-solid Mechanics and Material Engineering","volume":"75 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Coupled Finite Element Analysis of Generalized Thermoelasticity in Semi-Infinite Medium\",\"authors\":\"Leping Zhou, D. Tang, N. Araki\",\"doi\":\"10.1299/JSMEA.49.195\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The equations for the extended Lord-Shulman (LS) and Green-Lindsay (GL) models are solved for thermoelastic analysis in a semi-infinite medium by employing a finite element method using the theory of virtual displacement and the implicit Newmark algorithm. Simulations for both one-dimensional (1D) and two-dimensional (2D) models are performed to achieve the best approximation under prescribed boundary conditions. The effects of thermoelastic coupling factors and relaxation parameters on thermomechanical behavior of the medium are discussed for the two models. The results are consistent with our previous work using the Laplace transformation method.\",\"PeriodicalId\":170519,\"journal\":{\"name\":\"Jsme International Journal Series A-solid Mechanics and Material Engineering\",\"volume\":\"75 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jsme International Journal Series A-solid Mechanics and Material Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1299/JSMEA.49.195\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jsme International Journal Series A-solid Mechanics and Material Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1299/JSMEA.49.195","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Coupled Finite Element Analysis of Generalized Thermoelasticity in Semi-Infinite Medium
The equations for the extended Lord-Shulman (LS) and Green-Lindsay (GL) models are solved for thermoelastic analysis in a semi-infinite medium by employing a finite element method using the theory of virtual displacement and the implicit Newmark algorithm. Simulations for both one-dimensional (1D) and two-dimensional (2D) models are performed to achieve the best approximation under prescribed boundary conditions. The effects of thermoelastic coupling factors and relaxation parameters on thermomechanical behavior of the medium are discussed for the two models. The results are consistent with our previous work using the Laplace transformation method.