[HTML][HTML] An overview of particle-based numerical manifold method and its application to dynamic rock fracturing
This review summarizes the development of particle-based numerical manifold method
(PNMM) and its applications to rock dynamics. The fundamental principle of numerical …
(PNMM) and its applications to rock dynamics. The fundamental principle of numerical …
[HTML][HTML] A high-order numerical manifold method with continuous stress/strain field
Y Yang, G Sun, H Zheng - Applied Mathematical Modelling, 2020 - Elsevier
Recent attempts to solve solid mechanical problems using the numerical manifold method
(NMM) are very fruitful. In the present work, a high-order numerical manifold method …
(NMM) are very fruitful. In the present work, a high-order numerical manifold method …
On hp refinements of independent cover numerical manifold method—some strategies and observations
In this paper, strategies are provided for a powerful numerical manifold method (NMM) with
h and p refinement in analyses of elasticity and elasto-plasticity. The new NMM is based on …
h and p refinement in analyses of elasticity and elasto-plasticity. The new NMM is based on …
A new strategy for 3D non-persistent crack propagation by the numerical manifold method with tetrahedral meshes
S Yang, R Chen - Engineering Analysis with Boundary Elements, 2023 - Elsevier
A new strategy for 3D non-persistent crack propagation by the numerical manifold method
(NMM) with tetrahedral meshes is proposed and corresponding computer programs are …
(NMM) with tetrahedral meshes is proposed and corresponding computer programs are …
Enrichment of three-dimensional numerical manifold method with cover-based contact theory for static and dynamic mechanical response analysis
Based on the mathematical grid of 4-node tetrahedral finite element form, the dual cover
system, weight function and displacement function of three-dimensional numerical manifold …
system, weight function and displacement function of three-dimensional numerical manifold …
3D crack propagation by the numerical manifold method
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 …
is analyzed. With the help of mathematical cover and physical cover, no Heaviside function …
Development of three-dimensional numerical manifold method with cover-based contact theory
G Kang, Q Ouyang, Y Ning, P Chen - Engineering Analysis with Boundary …, 2023 - Elsevier
Numerical manifold method (NMM) is a typical continuous-discontinuous coupling method. It
unifies the continuous and discontinuous theories in the same program framework. In the …
unifies the continuous and discontinuous theories in the same program framework. In the …
A high-order three dimensional numerical manifold method with continuous stress/strain field
Y Yang, W Wu, H Zheng, X Liu - Engineering Analysis with Boundary …, 2020 - Elsevier
A high-order (HO) three dimensional numerical manifold method (HO3DNMM) is proposed.
In the present numerical model, HO global displacement function can be built without using …
In the present numerical model, HO global displacement function can be built without using …
A GPU-parallelized data-driven numerical manifold method with enhanced kd tree algorithm for simulation of rock mechanical behaviors
This study presents a GPU-accelerated data-driven numerical manifold method (DD-NMM)
aiming at efficiently reproducing rock mechanical behaviors by directly using the rock …
aiming at efficiently reproducing rock mechanical behaviors by directly using the rock …
A stable one-point quadrature rule for three-dimensional numerical manifold method
We present a numerically stable one-point quadrature rule for the stiffness matrix and mass
matrix of the three-dimensional numerical manifold method (3D NMM). The rule simplifies …
matrix of the three-dimensional numerical manifold method (3D NMM). The rule simplifies …