| 具有分数Kelvin模型的粘弹性岩体中水平圆形硐室的变形特性 |
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| 引用本文： | 刘林超,张卫.具有分数Kelvin模型的粘弹性岩体中水平圆形硐室的变形特性[J].岩土力学,2005,26(2):287-289. |
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| 作者姓名： | 刘林超 张卫 |
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| 作者单位： | 暨南大学 应用力学研究所，广东 广州 510632 |
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| 摘 要： | 在忽略体积变形的情况下进行水平图形硐室变形特性研究，建议采用分数代数Kelvin本构关系模拟岩体的粘弹性，提出了一种分析粘弹性岩体中水平圆形硐室变形特性的新思路，讨论了硐室位移及应变随时间变化的规律并与经典的Kelvin模型进行了比较。从分析的结果表明，分数代数能很好地模拟出粘弹性体松驰特性，通过改变分数代数的阶数又可以模拟各种粘弹性岩体、比经典粘弹性模型具有更大的适用范围。
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| 关 键 词： | 分数代数 粘弹性 Mittag-Leffler函数 |
| 文章编号： | 1000-7598-(2005)02-0287-03 |
| 收稿时间： | 2003-11-19 |
| 修稿时间： | 2003年11月19 |
Deformation properties of horizontal round adits in viscoelastic rocks with fractional Kelvin model |
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| LIU Lin-chao,ZHANG Wei.Deformation properties of horizontal round adits in viscoelastic rocks with fractional Kelvin model[J].Rock and Soil Mechanics,2005,26(2):287-289. |
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| Authors: | LIU Lin-chao ZHANG Wei |
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| Institution: | Institute of Applied Mechanics Jinan University, Guangzhou 510632, China |
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| Abstract: | The mechanical behavior of the horizontal round adits in viscoelastic rock was studied by fractional Kelvin constitutive law. The imcompression of viscoelastic rock is assumed. And the analytical results were compared with those from classical Kelvin model. Therefore a new way to study the related subjects in viscoelastic rocks was proposed. The fractional derivative model can model any viscoelastic rock mass and its relaxation properties, and which have a wider area than classical model. |
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| Keywords: | fractional calculus viscoelasticity Mittag-Leffler function |
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