Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating

doi:10.1016/j.ijheatmasstransfer.2019.118664

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	Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating
	Li, Yan; Zhang, Pei; Li, Chenlin; He, Tianhu
刊名	International Journal of Heat and Mass Transfer
	2019-12-01
卷号	144
关键词	Contact resistance Gaussian beams Gaussian distribution Gaussian noise (electronic) Heat conduction Heat resistance Laplace transforms Laser pulses Micromachining Optical resonators Relaxation time Specific heat Thermal conductivity of solids Thermoelasticity Time delay Bi-layered structure Fractional order Generalized thermo-elasticity Generalized thermoelastic Laplace transform techniques Material characteristic parameters Non-Gaussian Thermal contact resistance
ISSN号	00179310
DOI	10.1016/j.ijheatmasstransfer.2019.118664
英文摘要	Ultrashort laser technology has been widely used in micro-machining due to its high power, precision of operation, low cost, high control and extremely short duration. This motivates us to investigate the transient response of a bi-layered structure subjected to a non-Gaussian laser beam on its bounding surface in the context of the time-fractional derivative based on generalized thermoelastic theories. Comparison studies between the fractional order and the memory-dependent derivative models are performed and the thermal contact resistance at the interface is also considered. The coupled governing equations involving with thermal relaxation time, fractional order parameter, time delay and kernel function, which can be chosen freely according to specific problems, are solved by using Laplace transform technique together with its numerical inversion. During the analysis, the first layer is selected as the copper material and the material characteristic parameters of the second layer such as the thermal conductivity, mass density and specific heat capacity are given by ratios to those of the first layer. The influences of the material characteristic parameters on the heat conduction and the structural responses are emphatically discussed, and the non-dimensional temperature, displacement as well as stress at different values of fractional order parameter, time delay factor, kernel function and thermal contact resistance are obtained and illustrated graphically. Finally, based on the obtained results, the bi-layered structure heated by a non-Gaussian laser beam may be reasonably designed in engineering. © 2019
WOS研究方向	Thermodynamics ; Engineering ; Mechanics
语种	英语
出版者	Elsevier Ltd
WOS记录号	WOS:000494883300060
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150470]
专题	经济管理学院研究生院
作者单位	School of Science, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Li, Yan,Zhang, Pei,Li, Chenlin,et al. Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating[J]. International Journal of Heat and Mass Transfer,2019,144.
APA	Li, Yan,Zhang, Pei,Li, Chenlin,&He, Tianhu.(2019).Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating.International Journal of Heat and Mass Transfer,144.
MLA	Li, Yan,et al."Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating".International Journal of Heat and Mass Transfer 144(2019).