{"title":"半导体和压电介质的数学建模","authors":"Ashwani Kumar","doi":"10.9734/ajr2p/2021/v4i430147","DOIUrl":null,"url":null,"abstract":"In this analysis the importance of mathematical modelling of the physical systems has been outlined. The constitutive relations and basic governing equations of motion for homogeneous isotropic elastic semiconductor (n-type) and homogeneous transversely isotropic ( class) piezoelectric elastic media, in the absence of body forces and electric sources are made non-dimensional in order to reduce the mathematical complexity. All the obtained equations are rewritten in matrix form. Then considering the harmonic wave solution the eigen values and eigen vectors are calculated to obtained the formal solution of the problem.","PeriodicalId":8529,"journal":{"name":"Asian Journal of Research and Reviews in Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Modelling for Semiconductor and Piezoelectric Media\",\"authors\":\"Ashwani Kumar\",\"doi\":\"10.9734/ajr2p/2021/v4i430147\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this analysis the importance of mathematical modelling of the physical systems has been outlined. The constitutive relations and basic governing equations of motion for homogeneous isotropic elastic semiconductor (n-type) and homogeneous transversely isotropic ( class) piezoelectric elastic media, in the absence of body forces and electric sources are made non-dimensional in order to reduce the mathematical complexity. All the obtained equations are rewritten in matrix form. Then considering the harmonic wave solution the eigen values and eigen vectors are calculated to obtained the formal solution of the problem.\",\"PeriodicalId\":8529,\"journal\":{\"name\":\"Asian Journal of Research and Reviews in Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Research and Reviews in Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/ajr2p/2021/v4i430147\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Research and Reviews in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/ajr2p/2021/v4i430147","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical Modelling for Semiconductor and Piezoelectric Media
In this analysis the importance of mathematical modelling of the physical systems has been outlined. The constitutive relations and basic governing equations of motion for homogeneous isotropic elastic semiconductor (n-type) and homogeneous transversely isotropic ( class) piezoelectric elastic media, in the absence of body forces and electric sources are made non-dimensional in order to reduce the mathematical complexity. All the obtained equations are rewritten in matrix form. Then considering the harmonic wave solution the eigen values and eigen vectors are calculated to obtained the formal solution of the problem.
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