Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent

doi:10.1080/01495739.2019.1587331

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	Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent
	Li, Chenlin 3; Guo, Huili 2,3; Tian, Xiaogeng 2; He, Tianhu 1
刊名	Journal of Thermal Stresses
	2019-08-03
卷号	42 期号:8 页码:1051-1070
关键词	Calculations Concrete industry Heat flux Laplace transforms Petroleum industry Plates (structural components) Relaxation time Rubber industry Strain relaxation Thermal shock Thermoelasticity Fractional calculus Laplace transformations Multi-functional materials Thermal relaxation time Thermoviscoelastic response Thermoviscoelasticity Ultrafast pulsed lasers Visco-elastic material
ISSN号	01495739
DOI	10.1080/01495739.2019.1587331
英文摘要	Viscoelastic materials (e.g. rubber, resin, concrete skeleton, etc.) serve as one of the most promising candidate for new multifunctional materials due to their excellent rheological properties, as they are widely used in biology, petroleum industry, chemical and civil engineering, and other areas. The interaction of high-heat-flux loads (e.g. ultrafast pulsed lasers) with viscoelastic materials is a hot topic of numerous theoretical and experimental studies. Nevertheless, classical and extended generalized thermoviscoelasticity models available in literatures cannot characterize the strain relaxation behavior for viscoelastic materials. In this work, the time-based fractional thermoviscoelasticity model is further extended with a new consideration of fractional order strain. The governing equations involving strain and thermal relaxation times as well as fractional order parameters of strain and heat flux are formulated and are also applied to investigate thermal shock problem of a transient heated thick viscoelastic plate of infinite extent. With the aids of Laplace transformation methods, the transient solutions are also obtained. Finally, the effects of fractional order parameters of strain and heat flux on the transient thermoviscoelastic responses are studied and discussed. © 2019, © 2019 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:000465835300001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150611]
专题	研究生院
作者单位	1.School of Science, Lanzhou University of Technology, Lanzhou, Gansu, China 2.State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi’an; Shaanxi, China; 3.School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou; Gansu, China;
推荐引用方式 GB/T 7714	Li, Chenlin,Guo, Huili,Tian, Xiaogeng,et al. Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent[J]. Journal of Thermal Stresses,2019,42(8):1051-1070.
APA	Li, Chenlin,Guo, Huili,Tian, Xiaogeng,&He, Tianhu.(2019).Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent.Journal of Thermal Stresses,42(8),1051-1070.
MLA	Li, Chenlin,et al."Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent".Journal of Thermal Stresses 42.8(2019):1051-1070.