The variational principles and application of nonlinear numerical manifold method

Luo Shao-ming; Zhang Xiang-wei; Cai Yong-chang

doi:10.1007/bf02459218

The variational principles and application of nonlinear numerical manifold method

Applied Mathematics and Mechanics ◽

10.1007/bf02459218 ◽

2000 ◽

Vol 21 (12) ◽

pp. 1401-1406 ◽

Cited By ~ 2

Author(s):

Luo Shao-ming ◽

Zhang Xiang-wei ◽

Cai Yong-chang

Keyword(s):

Variational Principles ◽

Numerical Manifold Method ◽

Numerical Manifold

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Time-dependent deformation and failure of granite based on the virtual crack incorporated numerical manifold method

Computers and Geotechnics ◽

10.1016/j.compgeo.2021.104070 ◽

2021 ◽

Vol 133 ◽

pp. 104070

Author(s):

Xian-yang Yu ◽

Tao Xu ◽

Michael J. Heap ◽

Patrick Baud ◽

Thierry Reuschlé ◽

...

Keyword(s):

Time Dependent ◽

Numerical Manifold Method ◽

Deformation And Failure ◽

Numerical Manifold

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An Improved numerical manifold method model for groundwater flow problems

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.12.017 ◽

2021 ◽

Vol 125 ◽

pp. 218-232

Author(s):

Yuan Wang ◽

Lingfeng Zhou ◽

Di Feng

Keyword(s):

Groundwater Flow ◽

Numerical Manifold Method ◽

Flow Problems ◽

Numerical Manifold ◽

Method Model

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Development of a four-node quadrilateral element-based high order numerical manifold method without linear dependency

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1889715 ◽

2021 ◽

pp. 1-19

Author(s):

Hasan Ghasemzadeh ◽

Peyman Mohsenzadeh ◽

Khosro Shabani

Keyword(s):

High Order ◽

Numerical Manifold Method ◽

Quadrilateral Element ◽

Linear Dependency ◽

Numerical Manifold

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Comprehensive simulations of rock fracturing with pre-existing cracks by the numerical manifold method

Acta Geotechnica ◽

10.1007/s11440-021-01252-3 ◽

2021 ◽

Author(s):

Ge Kang ◽

Youjun Ning ◽

Pengwan Chen ◽

Siping Pang ◽

Yongbo Shao

Keyword(s):

Numerical Manifold Method ◽

Rock Fracturing ◽

Numerical Manifold

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A high-order three-dimensional numerical manifold method enriched with derivative degrees of freedom

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.07.010 ◽

2017 ◽

Vol 83 ◽

pp. 229-241 ◽

Cited By ~ 6

Author(s):

Huo Fan ◽

Jidong Zhao ◽

Hong Zheng

Keyword(s):

Degrees Of Freedom ◽

Three Dimensional ◽

High Order ◽

Numerical Manifold Method ◽

Numerical Manifold

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A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media

Journal of Hydrology ◽

10.1016/j.jhydrol.2018.10.067 ◽

2019 ◽

Vol 568 ◽

pp. 119-134 ◽

Cited By ~ 7

Author(s):

G.W. Ma ◽

H.D. Wang ◽

L.F. Fan ◽

Y. Chen

Keyword(s):

Two Phase Flow ◽

Numerical Manifold Method ◽

Phase Flow ◽

Pipe Network ◽

Two Phase ◽

Numerical Manifold

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Elasto-plastic analysis of jointed rock masses using the numerical manifold method

Boundaries of Rock Mechanics ◽

10.1201/9780203883204.ch16 ◽

2008 ◽

pp. 83-88

Author(s):

J Jiao ◽

C Qiao

Keyword(s):

Jointed Rock ◽

Numerical Manifold Method ◽

Rock Masses ◽

Jointed Rock Masses ◽

Plastic Analysis ◽

Numerical Manifold

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Research on refined mesh Scheme of Manifold Element in Adaptive Numerical Manifold Method

Proceedings of the 2015 International Conference on Advanced Engineering Materials and Technology ◽

10.2991/icaemt-15.2015.63 ◽

2015 ◽

Author(s):

Hongfen Gao ◽

Gaofeng Wei

Keyword(s):

Numerical Manifold Method ◽

Numerical Manifold

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An explicit version of the numerical manifold method and its applications

Frontiers of Discontinuous Numerical Methods and Practical Simulations in Engineering and Disaster Prevention ◽

10.1201/b15791-43 ◽

2013 ◽

pp. 315-321

Author(s):

G Ma ◽

X Qu

Keyword(s):

Numerical Manifold Method ◽

Numerical Manifold

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High rock slope stability analysis based on current stress state during excavation using the Numerical Manifold Method

Frontiers of Discontinuous Numerical Methods and Practical Simulations in Engineering and Disaster Prevention ◽

10.1201/b15791-50 ◽

2013 ◽

pp. 365-370

Author(s):

W Zheng ◽

X Zhuang ◽

Y Cai

Keyword(s):

Stability Analysis ◽

Stress State ◽

Slope Stability ◽

Rock Slope ◽

Slope Stability Analysis ◽

Rock Slope Stability ◽

Numerical Manifold Method ◽

Current Stress ◽

High Rock Slope ◽

Numerical Manifold

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