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A triaxial creep model for salt rocks based on variable-order fractional derivative
Mechanics of Time-Dependent Materials ( IF 2.1 ) Pub Date : 2020-09-28 , DOI: 10.1007/s11043-020-09470-0
Wu Fei , Liu Jie , Zou Quanle , Li Cunbao , Chen Jie , Gao Renbo

This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep stage, by replacing the Newtonian dashpot in the Maxwell model with the variable-order fractional derivative component and extending it from one to three dimensions. The experimental data were obtained from the creep of salt rock under multistage loading for approximately five months to examine the applicability of the new model. The fitting results show that the new model can accurately describe the creep behavior of the salt rock and can fully reflect the accelerative rheological property of the salt rock. Compared with the traditional nonlinear rheological model, the new model has fewer parameters and increased accuracy of the fitting results, and is anticipated to have an increased application area.



中文翻译:

基于变分分数阶导数的盐岩三轴蠕变模型

本文打算通过用可变阶分数阶导数分量代替Maxwell模型中的牛顿阻尼器,并将其从一个扩展到一个,将盐岩在三轴载荷下的整个蠕变过程(特别是在加速蠕变阶段的蠕变特性)描述出来。三个维度。实验数据是从盐岩在多阶段荷载下蠕变大约五个月获得的,以检验新模型的适用性。拟合结果表明,新模型能够准确描述盐岩的蠕变行为,并能充分反映盐岩的加速流变特性。与传统的非线性流变模型相比,新模型的参数更少,拟合结果的准确性更高,

更新日期:2020-09-28
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