Doaa M. Salah, A. M. Abd-Alla, S. M. Abo-Dahab, Amnah M. Alharbi, M. A. Abdelhafez
{"title":"双曲双温光热波下具有扩散性的磁致热弹性半导体介质","authors":"Doaa M. Salah, A. M. Abd-Alla, S. M. Abo-Dahab, Amnah M. Alharbi, M. A. Abdelhafez","doi":"10.1134/S0025654424603768","DOIUrl":null,"url":null,"abstract":"<p>The purpose of this research is to examine the effects of magnetic field and thermal diffusion on a photo-thermoelastic semiconducting medium under the theory of hyperbolic two-temperature. During the formulation of the problem using the hyperbolic two-temperature theory, the relation between plasma and thermoelastic waves was explored. The medium is assumed to be a semiconducting medium with isotropic and homogeneous characteristics. The Laplace transform technique is used to construct analytic formulations for physical quantities such as stresses, displacement components, temperature field, and mass concentration. To show the results, numerical computations are done using the MATHEMATICA program for the selected material (Si). To demonstrate the significance and effectiveness of the obtained results, the full solutions of the major physical variables in the space-time domain are found using a numerical method based on the inverse of the Laplace transform. A comparison is carried out with and without a magnetic field, at different theories (CTE, LS, GL) and with another research that agree with the previous paper when the new parameters neglected.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Magneto-Thermoelastic Semiconductor Medium with Diffusion under the Hyperbolic Two-Temperature Photothermal Waves\",\"authors\":\"Doaa M. Salah, A. M. Abd-Alla, S. M. Abo-Dahab, Amnah M. Alharbi, M. A. Abdelhafez\",\"doi\":\"10.1134/S0025654424603768\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The purpose of this research is to examine the effects of magnetic field and thermal diffusion on a photo-thermoelastic semiconducting medium under the theory of hyperbolic two-temperature. During the formulation of the problem using the hyperbolic two-temperature theory, the relation between plasma and thermoelastic waves was explored. The medium is assumed to be a semiconducting medium with isotropic and homogeneous characteristics. The Laplace transform technique is used to construct analytic formulations for physical quantities such as stresses, displacement components, temperature field, and mass concentration. To show the results, numerical computations are done using the MATHEMATICA program for the selected material (Si). To demonstrate the significance and effectiveness of the obtained results, the full solutions of the major physical variables in the space-time domain are found using a numerical method based on the inverse of the Laplace transform. A comparison is carried out with and without a magnetic field, at different theories (CTE, LS, GL) and with another research that agree with the previous paper when the new parameters neglected.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654424603768\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424603768","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Magneto-Thermoelastic Semiconductor Medium with Diffusion under the Hyperbolic Two-Temperature Photothermal Waves
The purpose of this research is to examine the effects of magnetic field and thermal diffusion on a photo-thermoelastic semiconducting medium under the theory of hyperbolic two-temperature. During the formulation of the problem using the hyperbolic two-temperature theory, the relation between plasma and thermoelastic waves was explored. The medium is assumed to be a semiconducting medium with isotropic and homogeneous characteristics. The Laplace transform technique is used to construct analytic formulations for physical quantities such as stresses, displacement components, temperature field, and mass concentration. To show the results, numerical computations are done using the MATHEMATICA program for the selected material (Si). To demonstrate the significance and effectiveness of the obtained results, the full solutions of the major physical variables in the space-time domain are found using a numerical method based on the inverse of the Laplace transform. A comparison is carried out with and without a magnetic field, at different theories (CTE, LS, GL) and with another research that agree with the previous paper when the new parameters neglected.
期刊介绍:
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.