A generalized thermoelastic diffusion problem with memory-dependent derivative

doi:10.1177/1081286518797988

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	A generalized thermoelastic diffusion problem with memory-dependent derivative
	Li, Yan; He, Tianhu
	2019-05-01
发表期刊	Mathematics and Mechanics of Solids
ISSN	10812865
卷号	24 期号:5 页码:1438-1462
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.
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
DOI	10.1177/1081286518797988
收录类别	EI ; SCIE
语种	英语
WOS研究方向	Materials Science ; Mathematics ; Mechanics
WOS类目	Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000466541500012
出版者	SAGE Publications Inc., United States
EI入藏号	20190506437437
EI主题词	Diffusion
EI分类号	641.2 Heat Transfer ; 713 Electronic Circuits ; 801.4 Physical Chemistry ; 921 Mathematics ; 921.3 Mathematical Transformations ; 931.2 Physical Properties of Gases, Liquids and Solids
引用统计	被引频次：21[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/150464
专题	经济管理学院研究生院
通讯作者	He, Tianhu
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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.