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含分数阶导数元件非线性蠕变模型的二次开发

张涛 何利军

华东交通大学学报2017,Vol.34Issue(5):21-28,8.
华东交通大学学报2017,Vol.34Issue(5):21-28,8.

含分数阶导数元件非线性蠕变模型的二次开发

Secondary Development of Non-linear Creep Model with Fractional Order Derivative Elements

张涛 1何利军1

作者信息

  • 1. 南昌航空大学土木与建筑学院,江西 南昌 330063
  • 折叠

摘要

Abstract

Triaxial creep test of Zhanjiang clay was conducted at constant confining pressure and under different deviatoric stress through GDS, which obtained several groups of data concerning the relationship between axial strain and time under different deviatoric stress. In view of the fact that traditional linear elements of nonlinear creep model does not accurately describe the clay problem, a fractional order derivative element was proposed to replace the two linear elements of the Newton's pot in the Burger model respectively. Then a non-linear creep model with two fractional derivatives was established. By using C++ language, the secondary development of the model in the FLAC3D was completed. Finally, comparison was made between numerical results under different stress and experimental data by establishing a triaxial numerical example. The results show that compared with the Burger model, the non-linear creep model is more favorable for the description of creep process for Zhan-jiang clay.

关键词

分数阶导数/二次开发/蠕变

Key words

fractional derivative/secondary development/creep

分类

建筑与水利

引用本文复制引用

张涛,何利军..含分数阶导数元件非线性蠕变模型的二次开发[J].华东交通大学学报,2017,34(5):21-28,8.

基金项目

南昌航空大学校级基金项目(EA201111317) (EA201111317)

华东交通大学学报

OACSTPCD

1005-0523

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