| 一种分析软土黏弹性的分数导数开尔文模型 |
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| 引用本文： | 孙海忠,张卫.一种分析软土黏弹性的分数导数开尔文模型[J].岩土力学,2007,28(9):1983-1986. |
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| 作者姓名： | 孙海忠 张卫 |
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| 作者单位： | 1. 同济大学,地下建筑与工程系,上海,200092
2. 暨南大学,力学与土木工程系,广州,510632 |
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| 基金项目： | 致谢：感谢暨南大学力学与土木工程系陈晓平教授、朱鸿鹄博士的指导和帮助! |
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| 摘 要： | 软土是一种黏、弹、塑性材料,采用分数微积分模型来研究软土的蠕变规律目前尚未见到。选取了珠江三角洲南沙地区典型软土作为研究对象,在对其进行大量相关试验的基础上,采用含分数阶导数的开尔文模型来模拟该地区软土的蠕变规律,讨论了含分数阶导数的开尔文模型的蠕变柔量和松驰模量及其应用。与传统的开尔文模型相比较,分数阶导数的开尔文模型可以更好地拟合蠕变曲线,而且其形式简单、统一,在计算过程中需要调整的参数很少。可以预见,含分数阶导数的开尔文体在软土的流变本构研究领域及其计算中将有着广泛的应用前景。
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| 关 键 词： | 软土 黏弹性 分数阶导数 蠕变 |
| 文章编号： | 1000-7598-（2007）09-1983-04 |
| 收稿时间： | 2005-09-23 |
| 修稿时间： | 2005-09-23 |
Analysis of soft soil with viscoelastic fractional derivative Kelvin model |
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| SUN Hai-zhong,ZHANG Wei.Analysis of soft soil with viscoelastic fractional derivative Kelvin model[J].Rock and Soil Mechanics,2007,28(9):1983-1986. |
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| Authors: | SUN Hai-zhong ZHANG Wei |
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| Institution: | 1.Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2.Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, China |
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| Abstract: | Soft soil is a material with the characteristics of viscosity,elasticity and plasticity.Till now,we have not yet seen researches on the creep laws of soft soil by using the models of fractional calculus.A number of one-dimensional consolidation tests for the Pearl River Delta typical soft soil have been carried out;and the creep laws of the soft soil are simulated by using fractional Kelvin model.The creep compliance and relaxation modulus of fractional Kelvin model and its application are discussed.It is shown by comparison with the traditional Kelvin model that fractional Kelvin model can simulate the creep compliance curves accurately.It has a simple and uniform form,only a few of the parameters should be adjusted in the calculation processes.It is predictable that fractional Kelvin body will have wide applications to the field of rheological constitution of soft soil and its calculation. |
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| Keywords: | soft soil viscoelasticity fractional order derivative creep |
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