Discussion on “mass-conservation” in numerical manifold method

LIN Xing-chao   WANG Xiao-gang   WANG Yu-jie   LI Xu   HAN Xin-ye

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Discussion on “mass-conservation” in numerical manifold method

更新时间：2026-06-25

- Discussion on “mass-conservation” in numerical manifold method
- Vol. 32, Issue 10, (2011)
- 作者机构：
  
  中国水利水电科学研究院岩土工程研究所,北京,100048
- 作者简介：
- 基金信息：
- DOI：
  CLC： O241
- Online First：13 October 2011，
  
  Published：2011
- 稿件说明：
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LIN Xing-chao WANG Xiao-gang WANG Yu-jie LI Xu HAN Xin-ye. Discussion on “mass-conservation” in numerical manifold method[J]. 2011, 32(10).
DOI：

LIN Xing-chao WANG Xiao-gang WANG Yu-jie LI Xu HAN Xin-ye. Discussion on “mass-conservation” in numerical manifold method[J]. 2011, 32(10). DOI：

摘要

数值流形法是至少包含流形法（NMM）、有限元法（FEM）和非连续变形分析（DDA）的数值方法体系。将数值流形法中物理单元与数学单元完全重合，去掉接触理论，流形元能够回归到有限元，将通过简单的板压缩数值试验验证这一点。在以前的数值流形法法中，质量守恒问题一直被忽视，物理单元的质量会随着单元体积改变，计算结果存在一定的误差。通过改变计算过程中单元密度实现计算过程中的“质量守恒”，完善了现有数值流形法的理论基础

Abstract

Numerical manifold method (NMM) is a numerical system which contains manifold method

finite elements and discontinuous deformation analysis (DDA). NMM can return to finite elements when physical elements and mathematical elements in NMM are superposition completely; and contact theory is removed. It will be verified by plate compression numerical experiment in the paper. In previous NNM

the problem of mass-conservation is neglected

which the weight of the physical elements will change with changes in its volume; so there are certain error in the calculation results. Mass-conservation can be realized by changing the elements density in the process of calculation; that will perfect the theoretical basis of numerical manifold methods.

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