The numerical manifold method for boundary integrals in elastostatics

NIE Zhi-bao; ZHENG Hong; WAN Tao; LIN Shan

doi:10.16285/j.rsm.2019.1028

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

The numerical manifold method for boundary integrals in elastostatics

更新时间：2026-06-25

- The numerical manifold method for boundary integrals in elastostatics
- Vol. 41, Issue 4, Pages: 1429-1436(2020)
- 作者机构：
  
  北京工业大学城市与工程安全减灾教育部重点实验室,北京,100124
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2019.1028
  CLC： O241.8;O343
- Online First：02 July 2020，
  
  Published：2020
- 稿件说明：
移动端阅览
NIE Zhi-bao, ZHENG Hong, WAN Tao, et al. The numerical manifold method for boundary integrals in elastostatics[J]. 2020, 41(4): 1429-1436.
DOI：

NIE Zhi-bao, ZHENG Hong, WAN Tao, et al. The numerical manifold method for boundary integrals in elastostatics[J]. 2020, 41(4): 1429-1436. DOI： 10.16285/j.rsm.2019.1028.

摘要

传统的数值流形法（NMM）一般均采用区域积分形式。结合边界单元法（BEM），提出了一种边界积分形式的数值流形法。该方法既能发挥NMM的可以灵活选取局部基的优势，又具有BEM降低问题求解维数的特点。针对二维的弹性静力学问题，对3个具有解析解的不同基准算例进行了数值应用，验证了所提方法的有效性和效率。计算结果表明，提高局部基的阶次可有效提高方法的计算精度。

Abstract

The traditional numerical manifold method (NMM) adopts the form of regional integration. This paper proposed a new NMM in the form of boundary integral by integrating the advantages of both the boundary element method (BEM) and the NMM

namely the dimension reduction of BEM and the flexibility of local base selection of NMM. For two-dimensional elastostatics problems

three different benchmark examples with analytical solutions are applied to verify the validity and efficiency of the newly proposed NMM. The results show that the accuracy of the proposed procedure can be effectively improved by increasing the order of the local basis.

关键词

Keywords

references

Views

143

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Mesh independence of numerical manifold method in treating strong singularity

Numerical analysis of influencing factors in stability of cracked surrounding rock of a laneway

Numerical analysis of shield tunneling construction through adjacent objects

T-splines local refinement algorithm for numerical manifold method

A linearly independent high-order numerical manifold method with physically meaningful degrees of freedom

Related Author

ZHENG Hong

XU Dong-dong

WAN De-lian

ZHAO Jian

WANG Lu-ming

PENG Fang-le1

YU Yan2

LIAO Shao-ming1

Related Institution

State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences

Nanyang Technological University

Hefei Science and Technology Innovation Station of General Staff Headquarters

Engineer Command Academy

China University of Mining and Technology

AI问答

⁰