New strategies for some issues of numerical manifold method in simulation of crack propagation

H Zheng, D Xu - International Journal for Numerical Methods in …, 2014 - Wiley Online Library
Aiming to solve, in a unified way, continuous and discontinuous problems in geotechnical
engineering, the numerical manifold method introduces two covers, namely, the …

Footwall slope stability analysis with the numerical manifold method

YJ Ning, XM An, GW Ma - International Journal of Rock Mechanics and …, 2011 - Elsevier
This paper extends the numerical manifold method (NMM) for footwall slope stability
analysis. A fracturing algorithm based on the Mohr–Coulomb criterion with a tensile cutoff is …

The MLS-based numerical manifold method with applications to crack analysis

H Zheng, F Liu, C Li - International Journal of Fracture, 2014 - Springer
In order to solve problems, from a continuum point of view and in a unified way, involving
continuum and discontinuum deformation, and small deformation and large movement, the …

[HTML][HTML] Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry

H Guo, H Zheng, X Zhuang - Applied Mathematical Modelling, 2019 - Elsevier
Many rectangular plate elements developed in the history of finite element method (FEM)
have displayed excellent numerical properties, yet their applications have been limited due …

A numerical manifold method model for analyzing fully coupled hydro-mechanical processes in porous rock masses with discrete fractures

M Hu, J Rutqvist, Y Wang - Advances in water resources, 2017 - Elsevier
In this study, a numerical manifold method (NMM) model was developed for fully coupled
analysis of hydro-mechanical (HM) processes in porous rock masses with discrete fractures …

Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems

H Zheng, Z Liu, X Ge - International Journal for Numerical …, 2013 - Wiley Online Library
For second‐order problems, where the behavior is described by second‐order partial
differential equations, the numerical manifold method (NMM) has gained great success …

Improved XFEM—An extra-dof free, well-conditioning, and interpolating XFEM

R Tian, L Wen - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
Although its unprecedentedly success in approximating the singular field around a crack tip
independent of mesh discretization, XFEM still has been long hindered in engineering …

3D crack propagation by the numerical manifold method

S Yang, M Cao, X Ren, G Ma, J Zhang, H Wang - Computers & Structures, 2018 - Elsevier
A method for three-dimensional crack propagation by the numerical manifold method (NMM)
is analyzed. With the help of mathematical cover and physical cover, no Heaviside function …

A practical model for fluid flow in discrete-fracture porous media by using the numerical manifold method

M Hu, J Rutqvist, Y Wang - Advances in water resources, 2016 - Elsevier
In this study, a numerical manifold method (NMM) model is developed to analyze flow in
porous media with discrete fractures in a non-conforming mesh. This new model is based on …

A new way to treat material discontinuities in the numerical manifold method

X An, G Ma, Y Cai, H Zhu - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
A new technique to describe the material discontinuities within the numerical manifold
method framework is presented. A new concept of 'weak-discontinuous physical covers' is …