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A new model of shear creep and its experimental verification
Mechanics of Time-Dependent Materials ( IF 2.5 ) Pub Date : 2020-06-22 , DOI: 10.1007/s11043-020-09453-1
L. Z. Wu , X. H. Luo , S. H. Li

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.



中文翻译:

剪切蠕变的新模型及其实验验证

蠕变在岩石工程安全中起着重要作用。在工程实践中,开发代表岩石蠕变行为的数学模型很有帮助。我们使用剪切流变仪对立方泥岩样品进行了剪切蠕变测试。实验结果表明,当施加的剪切应力大于长期剪切强度时,泥岩蠕变可分为稳定阶段和加速阶段。为了捕获泥岩样品的蠕变特征,本文基于分数理论提出了一种变参数分数阶导数元素。粘度系数被认为是变量。我们开发了描述岩石剪切蠕变的数学模型。新模型显示了粘弹塑性特性,可以有效地表征岩石蠕变过程的两个阶段。剪切蠕变结果表明,新的剪切蠕变模型比Nishihara模型和恒定参数分数蠕变模型更精确。敏感性分析表明,导数阶数对剪切蠕变的影响最大。

更新日期:2020-06-22
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