Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity

doi:10.1002/zamm.202000379

IR > 理学院

	Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity
	Peng, Wei 1; Ma, Yongbin2 ; He, Tianhu1,2
	2021-10
发表期刊	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN	0044-2267
卷号	101 期号:10
摘要	With the miniaturization of structures, such as MEMS/NEMS, the size-dependent effect has become an issue and attracted much attention. The well-known theories describing the size-dependent effect mainly include the nonlocal elasticity theory, the strain gradient theory and the modified coupled stress theory. Based on these theories, a number of works have been conducted to explore the size-dependent behaviors of structures or devices in micro/nano-scale, among them, majorities are on elastic performances, while, minorities are on thermoelastic performances. It is inevitable for structures suffering changeable temperature, as a consequence, thermal-induced stress and deformation occur in structures and they are worth being fully concerned. For thermoelastic behaviors limited to small scale problems, the classical Fourier's heat conduction law may fail, meanwhile, new models, for example, fractional order heat conduction model, have been developed to modify Fourier's law. In present paper, the transient thermoelastic response of a nanobeam subjected to a ramp heating is investigated by combining the nonlocal elasticity theory and the fractional order heat conduction model. The governing equations are formulated and then solved by Laplace transform and its numerical inversion. The non-dimensional temperature, displacement, stress, and deflection in the nanobeam are obtained and illustrated graphically. In calculation, the effects of the ramp-heating time parameter, the nonlocal parameter and the fractional order parameter on the considered physical quantities are examined and discussed in detail.
关键词	fractional order derivative nonlocal thermoelastic theory ramp‐ type heating size‐ dependent effect transient thermoelastic response
DOI	10.1002/zamm.202000379
收录类别	SCIE ; SCOPUS ; EI
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000649237600001
出版者	WILEY-V C H VERLAG GMBH
EI入藏号	20211910341269
EI主题词	Transient analysis
EI分类号	641.2 Heat Transfer - 761 Nanotechnology - 921.3 Mathematical Transformations - 931.2 Physical Properties of Gases, Liquids and Solids - 933 Solid State Physics
来源库	WOS
引用统计	被引频次：1[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/148213
专题	理学院研究生院
通讯作者	He, Tianhu
作者单位	1.Lanzhou Univ Technol, Key Lab Disaster Prevent & Mitigat Civil Engn Gan, Lanzhou 730050, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学; 理学院
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Peng, Wei,Ma, Yongbin,He, Tianhu. Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2021,101(10).
APA	Peng, Wei,Ma, Yongbin,&He, Tianhu.(2021).Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,101(10).
MLA	Peng, Wei,et al."Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 101.10(2021).