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; Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent
	Li, Chenlin 1; Guo, Huili 1,3; Tian, Xiaogeng 3; He, Tianhu 2
刊名	JOURNAL OF THERMAL STRESSES ; JOURNAL OF THERMAL STRESSES
	2019-04 ; 2019-04
卷号	42 期号:8 页码:1051-1070
关键词	Fractional calculus Fractional calculus generalized thermoviscoelasticity generalized thermoviscoelasticity strain relaxation time strain relaxation time thermal relaxation time thermal relaxation time transient thermal shock transient thermal shock
ISSN号	0149-5739 ; 0149-5739
DOI	10.1080/01495739.2019.1587331 ; 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.; 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.
资助项目	National Natural Science Foundation of China[11372123]
WOS研究方向	Thermodynamics ; Thermodynamics ; Mechanics ; Mechanics
语种	英语 ; 英语
出版者	TAYLOR & FRANCIS INC ; TAYLOR & FRANCIS INC
WOS记录号	WOS:000465835300001 ; WOS:000465835300001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32017]
专题	研究生院
通讯作者	Li, Chenlin
作者单位	1.Lanzhou Jiaotong Univ, Sch Civil Engn, Lanzhou 730070, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China 3.Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian, Shaanxi, Peoples R 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, Generalized thermoviscoelastic analysis with fractional order strain in a thick viscoelastic plate of infinite extent[J]. JOURNAL OF THERMAL STRESSES, JOURNAL OF THERMAL STRESSES,2019, 2019,42, 42(8):1051-1070, 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.