衬砌圆洞弹性随机位移的拟解析解

衬砌圆洞弹性随机位移的拟解析解 English Version

基金项目: 国家自然科学基金

Department of Civil and Structural Engineering The University of Hong Kong, College of Structural Engineering Tongji University Shanghai 200092

摘要: 根据摄动方法和随机势能原理导出衬砌圆洞弹性随机位移的拟解析解及其随机特性。与之相应的随机应变场和随机应力场可用类似的方法加以研究
- 随机解 /
- 弹性 /
- 位移场 /
- 解析解 /
- 衬砌圆洞
Abstract: This paper studies the random displacement field in a stochastic materials, focusing particularly on the lining of a circular opening in geologic materials with random elastic properties. A pseudo analytic solution is deduced, including the expression of random displacement and its statistical characteristics, based on perturbation method and stochastic potential principle. The results clearly indicate that the random displacement is related not only to the properties of the random media, but also to the position in the random space.
- random field /
- elasticity /
- displacement /
- analytic solution /
- lining circular opening.