A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative

doi:10.1007/s11043-021-09508-x

CORC > 兰州理工大学 > 兰州理工大学 > 土木工程学院

	A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative
	Zhou, Feng-xi 1,2; Wang, Li-ye 1; Liu, Zhi-yi 1; Zhao, Wen-cang 1
刊名	MECHANICS OF TIME-DEPENDENT MATERIALS
	2021-06
关键词	Variable-order fractional derivative Mechanical rheological model Viscoelastic-viscoplastic response Order function
ISSN号	1385-2000
DOI	10.1007/s11043-021-09508-x
英文摘要	A fractional viscoelastic-viscoplastic model is developed for time-dependent materials, by considering the reference stress in the fractional viscoelastic body. Using this model, the creep, stress relaxation and strain rate behavior is numerically analyzed for frozen soil and zeonex results, with the consideration of continuous order functions that conform to the order interval limits. Subsequently, a variable-order viscoelastic-viscoplastic creep model and also a variable-order viscoelastic-viscoplastic strain rate model are established by the developed variable-order viscoplastic and fractional viscoelastic models, respectively. Finally, the rheological behavior of frozen soil and Zeonex is simulated using the variable-order viscoelastic-viscoplastic creep model and variable-order viscoelastic-viscoplastic strain rate model, and the model parameters are analyzed. The results show that the proposed order function equation is continuous and conforms to the interval effect of the definition. The variable-order viscoelastic-viscoplastic rheological model takes into account the elastic-visco-plastic behavior of the material in the rheological process, and has high accuracy.
WOS研究方向	Mechanics ; Materials Science
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000668414900001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148716]
专题	土木工程学院
作者单位	1.Lanzhou Univ Technol, Sch Civil Engn, Gansu 730050, Peoples R China; 2.Minist Educ, Engn Res Ctr Disaster Mitigat Civil Engn, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Feng-xi,Wang, Li-ye,Liu, Zhi-yi,et al. A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative[J]. MECHANICS OF TIME-DEPENDENT MATERIALS,2021.
APA	Zhou, Feng-xi,Wang, Li-ye,Liu, Zhi-yi,&Zhao, Wen-cang.(2021).A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative.MECHANICS OF TIME-DEPENDENT MATERIALS.
MLA	Zhou, Feng-xi,et al."A viscoelastic-viscoplastic mechanical model of time-dependent materials based on variable-order fractional derivative".MECHANICS OF TIME-DEPENDENT MATERIALS (2021).