Analysis of elastic-viscoplastic creep model based on variable-order differential operator

doi:10.1016/j.apm.2019.12.007

IR > 土木工程学院

	Analysis of elastic-viscoplastic creep model based on variable-order differential operator
	Wang, Li-ye 1; Zhou, Feng-xi1,2
	2020-05
发表期刊	APPLIED MATHEMATICAL MODELLING
ISSN	0307-904X
卷号	81 页码:37-49
摘要	Based on the variable-order differential operator (VODO), a variable-order elastic-viscoplastic (VO-EVP) creep model of geomaterials is established. Firstly, the variable-order strain rate model is established according to the newly defined Riesz-Caputo (RC) VODO, and the creep equation of the VO-EVP model is solved by Laplace transform. Then, the order function expression suitable for the creep of geomaterials is proposed by analyzing the existing order functions. A series of numerical analyses are carried out on the VO-EVP model and the order function. Finally, combined with the results of triaxial creep tests of Hong Kong marine deposits and Sackville clay, the effectiveness of the model under static load test and the sensitivity of the order function are analyzed. The results show that the VO-EVP model is significantly better than the conventional EVP model. Compared with the constant fractional EVP (CF-EVP) model, the VO-EVP model considering only the internal variables in time does not have obvious advantages in predicting the creep behavior of soil under static load, nor does it show strong time memory and parameter sensitivity. However, the VO-EVP model also has important significance in studying creep behavior. (C) 2019 Elsevier Inc. All rights reserved.
关键词	EVP model Numerical analysis Order functions Parameter sensitivity Variable-order differential operator
DOI	10.1016/j.apm.2019.12.007
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11962016][51978320]
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000521509900003
出版者	ELSEVIER SCIENCE INC
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/64114
专题	土木工程学院
通讯作者	Zhou, Feng-xi
作者单位	1.Lanzhou Univ Technol, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China 2.Minist Educ, Engn Res Ctr Disaster Mitigat Civil Engn, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Wang, Li-ye,Zhou, Feng-xi. Analysis of elastic-viscoplastic creep model based on variable-order differential operator[J]. APPLIED MATHEMATICAL MODELLING,2020,81:37-49.
APA	Wang, Li-ye,&Zhou, Feng-xi.(2020).Analysis of elastic-viscoplastic creep model based on variable-order differential operator.APPLIED MATHEMATICAL MODELLING,81,37-49.
MLA	Wang, Li-ye,et al."Analysis of elastic-viscoplastic creep model based on variable-order differential operator".APPLIED MATHEMATICAL MODELLING 81(2020):37-49.