Analysis of elastic-viscoplastic creep model based on variable-order differential operator
Wang, Li-ye1; Zhou, Feng-xi1,2
2020-05
Source PublicationAPPLIED MATHEMATICAL MODELLING
ISSN0307-904X
Volume81Pages:37-49
AbstractBased 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.
KeywordEVP model Numerical analysis Order functions Parameter sensitivity Variable-order differential operator
DOI10.1016/j.apm.2019.12.007
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11962016][51978320]
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000521509900003
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64114
Collection土木工程学院
Corresponding AuthorZhou, Feng-xi
Affiliation1.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
First Author AffilicationLanzhou University of Technology
Corresponding Author AffilicationLanzhou University of Technology
First Signature AffilicationLanzhou University of Technology
Recommended Citation
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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.
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