A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source

doi:10.1007/s10483-022-2835-9

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	A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source
	Peng, Wei 1; Chen, Like 3; He, Tianhu 1,2
刊名	Applied Mathematics and Mechanics (English Edition)
	2022-04-01
卷号	43 期号:4 页码:507-522
关键词	Anelastic relaxation Laplace transforms Stress-strain curves Fractional order Fractional-order strain Fractional-order thermal conduction Generalized thermo-viscoelasticity Moving heat sources O343.6 Size-dependent effect Thermal conduction Thermoviscoelasticity
ISSN号	0253-4827
DOI	10.1007/s10483-022-2835-9
英文摘要	Classical thermo-viscoelastic models may be challenged to predict the precise thermo-mechanical behavior of viscoelastic materials without considering the memory-dependent effect. Meanwhile, with the miniaturization of devices, the size-dependent effect on elastic deformation is becoming more and more important. To capture the memory-dependent effect and the size-dependent effect, the present study aims at developing a modified fractional-order thermo-viscoelastic coupling model at the micro-scale to account for two fundamentally distinct fractional-order models which govern the memory-dependent features of thermal conduction and stress-strain relation, respectively. Then, the modified theory is used to study the dynamic response of a polymer micro-rod heated by a moving heat source. The governing equations are obtained and solved by the Laplace transform method. In calculation, the effects of the fractional-order parameter, the fractional-order strain parameter, the mechanical relaxation parameter, and the nonlocal parameter on the variations of the considered variables are analyzed and discussed in detail. © 2022, Shanghai University.
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	Springer Science and Business Media B.V.
WOS记录号	WOS:000773826200002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/157911]
专题	研究生院
作者单位	1.Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou; 730050, China; 2.School of Science, Lanzhou University of Technology, Lanzhou; 730050, China 3.School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou; 730000, China;
推荐引用方式 GB/T 7714	Peng, Wei,Chen, Like,He, Tianhu. A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source[J]. Applied Mathematics and Mechanics (English Edition),2022,43(4):507-522.
APA	Peng, Wei,Chen, Like,&He, Tianhu.(2022).A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source.Applied Mathematics and Mechanics (English Edition),43(4),507-522.
MLA	Peng, Wei,et al."A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source".Applied Mathematics and Mechanics (English Edition) 43.4(2022):507-522.