.png){kind=icon}
.png){kind=icon}
Return
Element-Free Numerical Manifold Method (E-NMM) Without Generating Manifold Elements: A Solution for 3D Continuous-Discontinuous Problems
.png){kind=icon}
PRE
AI
Z
武
C
H
Z
Z
DOI：10.1002/nme.70341.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Aiming at the core bottleneck of the traditional numerical manifold method (NMM)—difficulty in 3D extension caused by its reliance on complex geometric Boolean operations when solving 3D continuous-discontinuous problems—this paper proposes an element-free numerical manifold method (E-NMM) that does not generate manifold element (ME). The method replaces the ME generation process with voxel discretization technology, and uses numerical manifold point (NMP) to undertake integral representation and post-processing functions, completely avoiding 3D Boolean operations; it achieves accurate reconstruction of physical cover (PC) by combining enhanced connected component analysis. The effectiveness of E-NMM and its applicability to complex engineering problems are verified through multiple sets of numerical examples. E-NMM retains the core feature of NMM, that is, the unified solution for continuous and discontinuous problems, and provides an efficient and reliable numerical solution tool for 3D complex continuous-discontinuous problems in fields such as rock mechanics and tunnel engineering.
Keywords:
3D numerical simulation
continuous-discontinuous problems
element-free numerical manifold method (E-NMM)
numerical manifold method (NMM)
voxel discretization
Journal
IF:
2.9
Papers:
419
Citations:
2.2W
Organization
Cited Papers