Analysis of elastic-viscoplastic creep model based on variable-order differential operator | |
Wang, Li-ye1; Zhou, Feng-xi1,2 | |
刊名 | APPLIED MATHEMATICAL MODELLING |
2020-05 | |
卷号 | 81页码:37-49 |
关键词 | EVP model Numerical analysis Order functions Parameter sensitivity Variable-order differential operator |
ISSN号 | 0307-904X |
DOI | 10.1016/j.apm.2019.12.007 |
英文摘要 | 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. |
资助项目 | National Natural Science Foundation of China[11962016][51978320] |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000521509900003 |
内容类型 | 期刊论文 |
源URL | [http://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 |
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. |
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