Study of three-dimensional high-order numerical manifold method

JIANG Qing-hui1; Deng Shu-shen1; Zhou Chuangbing1

doi:10.16285/j.rsm.2006.09.007

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Study of three-dimensional high-order numerical manifold method

更新时间：2026-06-25

- Study of three-dimensional high-order numerical manifold method
- Issue 9, Pages: 1471-1474(2006)
- 作者机构：
  
  1. 水资源与水电工程科学国家重点实验室武汉大学
  2. 水资源与水电工程科学国家重点实验室武汉大学武汉430072中国科学院岩土力学重点实验室
  3. ,武汉,430071
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2006.09.007
  CLC： TV223
- Published：2006
- 稿件说明：
移动端阅览
[1]姜清辉,邓书申,周创兵.三维高阶数值流形方法研究[J].岩土力学,2006(09):1471-1474.

JIANG Qing-hui1, Deng Shu-shen1, Zhou Chuangbing1. Study of three-dimensional high-order numerical manifold method[J]. 2006, (9): 1471-1474.
[1]姜清辉,邓书申,周创兵.三维高阶数值流形方法研究[J].岩土力学,2006(09):1471-1474. DOI： 10.16285/j.rsm.2006.09.007.

JIANG Qing-hui1, Deng Shu-shen1, Zhou Chuangbing1. Study of three-dimensional high-order numerical manifold method[J]. 2006, (9): 1471-1474. DOI： 10.16285/j.rsm.2006.09.007.

摘要

将三维流形单元的位移函数从一阶拓展为二阶

基于最小势能原理建立了有限单元覆盖的高阶流形方法分析格式

详细推导了三维流形单元的刚度矩阵、等效节点荷载列阵以及位移约束矩阵。计算结果表明

提高物理覆盖函数的阶次可有效提高流形方法的计算精度。

Abstract

The three-dimensional numerical manifold with high-order displacement functions has been developed based on the tetrahedron element meshes. The global equilibrium equations of high-order manifold method are established by minimizing the total potential energy. The stiffness matrix

the loading matrix and displacement resistance matrix are derived and added to the global equations. The example of the cantilever bending under the area loading is calculated by the high-order manifold method and the numerical results agree well with theoretical solutions.

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