A generalized thermoelastic diffusion problem with memory-dependent derivative | |
Li, Yan; He, Tianhu | |
刊名 | Mathematics and Mechanics of Solids
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2019-05-01 | |
卷号 | 24期号:5页码:1438-1462 |
关键词 | Chemical potential Geometry Heat conduction Laplace transforms Thermoelasticity Time delay Transient analysis Delay factors Dimensional temperatures Displacement and stress Generalized diffusion Generalized thermoelastic diffusions Kernel function Numerical inversion Thermoelastic diffusion |
ISSN号 | 10812865 |
DOI | 10.1177/1081286518797988 |
英文摘要 | Based on the generalized thermoelastic diffusion theory with memory-dependent derivative in both the generalized heat conduction law and the generalized diffusion law, the transient response is investigated of a half-space subjected to a thermal shock and a chemical potential shock on its bounding surface. The coupled governing equations containing time-delay factors and kernel functions, which can be chosen freely according to specific problems, are solved by the Laplace transform together with its numerical inversion. The non-dimensional temperature, chemical potential, displacement, stress, as well as concentration at different values of time, time-delay factors, and kernel functions are obtained and illustrated graphically. The results show that: all the considered variables have obvious changes with the passage of time; the thermal time-delay and kernel functions hardly influence the distributions of the non-dimensional chemical potential, modestly influence the distributions of the non-dimensional concentration, while appreciably influence the distributions of the non-dimensional temperature, displacement, and stress; the diffusion time-delay and kernel functions barely affect the distributions of the non-dimensional temperature, slightly affect the distributions of the non-dimensional concentration, while remarkably affect the distributions of the non-dimensional chemical potential, displacement and stress. © The Author(s) 2018. |
WOS研究方向 | Materials Science ; Mathematics ; Mechanics |
语种 | 英语 |
出版者 | SAGE Publications Inc., United States |
WOS记录号 | WOS:000466541500012 |
内容类型 | 期刊论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/150464] ![]() |
专题 | 经济管理学院 研究生院 |
作者单位 | School of Science, Lanzhou University of Technology, Lanzhou, China |
推荐引用方式 GB/T 7714 | Li, Yan,He, Tianhu. A generalized thermoelastic diffusion problem with memory-dependent derivative[J]. Mathematics and Mechanics of Solids,2019,24(5):1438-1462. |
APA | Li, Yan,&He, Tianhu.(2019).A generalized thermoelastic diffusion problem with memory-dependent derivative.Mathematics and Mechanics of Solids,24(5),1438-1462. |
MLA | Li, Yan,et al."A generalized thermoelastic diffusion problem with memory-dependent derivative".Mathematics and Mechanics of Solids 24.5(2019):1438-1462. |
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