Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects

doi:10.1080/01495739.2022.2109543

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	Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects
	Qi, Zezhang; Peng, Wei; He, Tianhu
刊名	Journal of Thermal Stresses
	2022
卷号	45 期号:10 页码:773-792
关键词	Elasticity Heat transfer Laplace transforms Nanowires Numerical methods Thermoelasticity Transient analysis Memory-dependent derivative Modified couple stress theories Nano beams Nonlocal Nonlocal thermoelastic theory Ramp-type heating Size dependent Thermo-elastic theory Thermoelastic response Transient thermoelastic response
ISSN号	0149-5739
DOI	10.1080/01495739.2022.2109543
英文摘要	For nano/micro-scale structures, the classical continuum mechanics can’t properly depict the size-dependent effect arising in them anymore. In addition, Fourier’s law is limited in describing the heat transfer process in nano/microstructures due to its nature of predicting infinite heat speed. To amend such defects, the non-classical continuum mechanics based on the nonlocal elasticity theory and the modified couple stress theory incorporating the non-Fourier heat transfer model with memory-dependent effect is formulated to characterize the thermoelastic behaviors in micro/nano-scale system in the present work. Then, the model is used to study the dynamic response of an Euler-Bernoulli nanobeam subjected to a ramp-type heating. The corresponding governing equations are derived and then solved by Laplace transform method and its numerical inversion. The distributions of the non-dimensional transverse deflection, temperature and displacement are obtained and illustrated graphically. In calculation, the influences of the ramp heating time parameter, the material length parameter, the nonlocal parameter, the time-delay factor and the kernel functions on the considered physical quantities are examined and discussed in detail. © 2022 Taylor & Francis Group, LLC.
WOS研究方向	Thermodynamics ; Mechanics
语种	英语
出版者	Taylor and Francis Ltd.
WOS记录号	WOS:000843169500001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/159728]
专题	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	Qi, Zezhang,Peng, Wei,He, Tianhu. Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects[J]. Journal of Thermal Stresses,2022,45(10):773-792.
APA	Qi, Zezhang,Peng, Wei,&He, Tianhu.(2022).Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects.Journal of Thermal Stresses,45(10),773-792.
MLA	Qi, Zezhang,et al."Investigation on the thermoelastic response of a nanobeam in modified couple stress theory considering size-dependent and memory-dependent effects".Journal of Thermal Stresses 45.10(2022):773-792.