| 三维径向点插值无网格法及其在流固耦合中的应用 |
| |
| 引用本文： | 张琰,彭翀,李星.三维径向点插值无网格法及其在流固耦合中的应用[J].岩土力学,2011,32(6):1898-1904. |
| |
| 作者姓名： | 张琰 彭翀 李星 |
| |
| 作者单位： | 1. 中国电力科学研究院，北京 100192；2. 清华大学 水沙科学与水利水电工程国家重点实验室，北京100084； 3. 河北理工大学 轻工学院，河北 唐山 063000 |
| |
| 摘 要： | 径向基函数点插值无网格法(radial point interpolation method，RPIM)是一种新型的无网格法，其形函数具有插值特性，且形式简单，易于施加本质边界条件。文中介绍了径向基函数点插值无网格法的基本原理，推导了三维情况下点插值无网格法的基本公式。从变分原理出发，结合比奥固结理论，建立了流-固耦合的三维点插值无网格法基本方程和数值积分方法，并开发了相应计算程序。通过三维悬臂梁和单向固结问题的数值试验，验证了该方法对三维弹性问题和流-固耦合问题的适用性和有效性
|
| 关 键 词： | 无网格法 点插值 径向基函数 流固耦合 |
| 收稿时间： | 2010-07-12 |
Three-dimensional radial point interpolation meshfree method and its application to consolidation analysis |
| |
| ZHANG Yan,PENG Chong,LI Xing.Three-dimensional radial point interpolation meshfree method and its application to consolidation analysis[J].Rock and Soil Mechanics,2011,32(6):1898-1904. |
| |
| Authors: | ZHANG Yan PENG Chong LI Xing |
| |
| Institution: | ZHANG Yan1,PENG Chong2,LI Xing3(1.China Electric Power Research Institute,Beijing 100192,China,2.State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084,3.College of Light Industry,Hebei Polytechnic University,Tangshan,Hebei 063000,China) |
| |
| Abstract: | The radial point interpolation method(RPIM) is a new-style meshfree method.As its shape functions have the Kronecker delta functions property,essential boundary conditions can be enforced as easily as in the finite element method.The basic principle of RPIM is introduced;and the basic formulas of RPIM are derived.Based on the variational principle and Biot's consolidation theory,the basic equations and numerical integration method of RPIM are proposed;and the corresponding calculation program is developed.N... |
| |
| Keywords: | meshfree method point interpolation radial basis function consolidation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《岩土力学》浏览原始摘要信息 |
| 点击此处可从《岩土力学》下载免费的PDF全文 |
|
