Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity

doi:10.1080/17455030.2019.1648910

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	Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity
	Li, Chenlin 3; Tian, Xiaogeng 2; He, Tianhu 1
刊名	WAVES IN RANDOM AND COMPLEX MEDIA
	2019-08
关键词	Transient responses memory-dependent derivative variable thermal conductivity and diffusivity spherical shell perfect conducting medium
ISSN号	1745-5030
DOI	10.1080/17455030.2019.1648910
英文摘要	With the great development of micro-electromechanical devices and wide application of subpicosecond/femtosecond ultrafast laser technology in micro-machining of micro-electromechanical devices, the investigations of interactions between thermodiffusion and deformation become significantly important. To accurate modeling the thermo-elasto-diffusive coupling, a new time fractional-order (i.e. memory-dependent derivative) based model of generalized thermoelastic diffusion for a perfect thermally and isotropic conducting medium which is assumed to have variable thermal conductivity and diffusivity is given in this work. This model is applied to investigate transient responses of a spherical shell subjected to instantaneous thermal and chemical shock loadings at external surface, whilst it is assumed that a permeating substance is in contact with the rigid surface at its internal surface. The solutions in the Laplace transform domain are obtained by using Kirchhoff and Laplace transform techniques and then the numerical inversion process based on fast Fourier transformation is carried out to derive the transient solutions in the time domain. Numerical computations for all the physical quantities considered are implemented and represented graphically. The results show that the variable thermal conductivity and diffusivity as well as memory-dependent parameters have the varying degrees of influences on the structural transient thermo-elasto-diffusive responses.
资助项目	National Natural Science Foundation of China[11572237] ; National Natural Science Foundation of China[11372123]
WOS研究方向	Physics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000479947500001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31688]
专题	研究生院
通讯作者	Li, Chenlin
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China 2.Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian, Shaanxi, Peoples R China 3.Lanzhou Jiaotong Univ, Sch Civil Engn, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Li, Chenlin,Tian, Xiaogeng,He, Tianhu. Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity[J]. WAVES IN RANDOM AND COMPLEX MEDIA,2019.
APA	Li, Chenlin,Tian, Xiaogeng,&He, Tianhu.(2019).Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity.WAVES IN RANDOM AND COMPLEX MEDIA.
MLA	Li, Chenlin,et al."Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity".WAVES IN RANDOM AND COMPLEX MEDIA (2019).