| 分数导数型圆形隧道粘弹性围岩的应变位移分析 |
| |
| 引用本文： | 黄学玉,闫启方,刘林超.分数导数型圆形隧道粘弹性围岩的应变位移分析[J].信阳师范学院学报(自然科学版),2007,20(2):162-166. |
| |
| 作者姓名： | 黄学玉 闫启方 刘林超 |
| |
| 作者单位： | 信阳师范学院,建筑工程系,河南,信阳,464000 |
| |
| 基金项目： | 信阳师范学院校科研和教改项目 |
| |
| 摘 要： | 利用能较好地描述岩体粘弹性力学行为的分数导数本构模型,并运用弹性—粘弹性对应原理和分数导数的性质,通过Laplace逆变换得到了分数导数描述的圆形隧道粘弹性围岩的应变和位移的解析解,并对结果进行了讨论.结果表明,分数导数本构模型在描述岩体粘弹性力学行为方面具有建模精确,应用范围广等优点.
|
| 关 键 词： | 分数导数 粘弹性 Mittag-Leffler函数 |
| 文章编号： | 1003-0972（2007）02-0162-05 |
| 收稿时间： | 2006-02-15 |
| 修稿时间： | 2007-01-10 |
Strain and Displacement Analysis of Viscoelastic Surrounding Rocks for Circular Tunnels Described by Fractional Derivative Model |
| |
| HUANG Xue-yu,YAN Qi-fang,LIU Lin-chao.Strain and Displacement Analysis of Viscoelastic Surrounding Rocks for Circular Tunnels Described by Fractional Derivative Model[J].Journal of Xinyang Teachers College(Natural Science Edition),2007,20(2):162-166. |
| |
| Authors: | HUANG Xue-yu YAN Qi-fang LIU Lin-chao |
| |
| Abstract: | Solutions to the strain and displacement is given for viscoelastic surrounding rocks described with fractional derivative by using elastic-viscoelastic correspondence principle,proprieties of fractional derivative and inverse Laplace transformation.Result shows that fractional derivative model describes viscoelastic mechanical of rocks precisely and has a wide application. |
| |
| Keywords: | fractional derivative viscoelasticity Mittag-Leffler function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
