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A new model of shear creep and its experimental verification

A new model of shear creep and its experimental verification Creep exerts a significant role in rock engineering safety. In engineering practice, it is helpful to develop a mathematical model representing rock creep behaviors. We used a shear rheometer to carry out shear creep tests of cubic mudstone specimens. The experimental results indicate that the mudstone creep can be divided into steady and accelerated stages when the applied shear stress is greater than the long-term shear strength. To capture the creep characteristics of the mudstone samples, in this paper, we propose a variable-parameter fractional derivative element based on fractional theory. A viscosity coefficient is considered to be a variable. We develop a mathematical model describing rock shear creep. The new model shows a visco-elastic-plastic property, which can effectively characterize two stages of rock creep process. The shear creep results show that the new model of shear creep is more accurate than that of the Nishihara model and the constant-parameter fractional creep model. Sensitivity analysis demonstrates that derivative orders have the greatest effect on shear creep. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

A new model of shear creep and its experimental verification

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References (39)

Publisher
Springer Journals
Copyright
Copyright © Springer Nature B.V. 2020
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-020-09453-1
Publisher site
See Article on Publisher Site

Abstract

Creep exerts a significant role in rock engineering safety. In engineering practice, it is helpful to develop a mathematical model representing rock creep behaviors. We used a shear rheometer to carry out shear creep tests of cubic mudstone specimens. The experimental results indicate that the mudstone creep can be divided into steady and accelerated stages when the applied shear stress is greater than the long-term shear strength. To capture the creep characteristics of the mudstone samples, in this paper, we propose a variable-parameter fractional derivative element based on fractional theory. A viscosity coefficient is considered to be a variable. We develop a mathematical model describing rock shear creep. The new model shows a visco-elastic-plastic property, which can effectively characterize two stages of rock creep process. The shear creep results show that the new model of shear creep is more accurate than that of the Nishihara model and the constant-parameter fractional creep model. Sensitivity analysis demonstrates that derivative orders have the greatest effect on shear creep.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Sep 1, 2021

Keywords: Rock mechanics; Creep model; Fractional theory; Variable parameter; Combination method

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