Smoothed numerical manifold method with physical patch‐based smoothing domains for linear elasticity
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6547
Abstract: Smoothed finite element method with the node‐based strain smoothing domains (NS‐FEM) is remarkable for the upper‐bound feature and insensitivity to the volumetric locking. As a mesh‐based methodology, its application is limited by the burdensome meshing… read more here.
Keywords: physical patch; smoothing domains; methodology; numerical manifold ... See more keywords
Investigation of the Rock Fragmentation Process by a Single TBM Cutter Using a Voronoi Element-Based Numerical Manifold Method
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DOI: 10.1007/s00603-017-1381-1
Abstract: In this study, a two-dimensional Voronoi element-based numerical manifold method (VE-NMM) is developed to analyze the granite fragmentation process by a single tunnel boring machine (TBM) cutter under different confining stresses. A Voronoi tessellation technique… read more here.
Keywords: manifold method; process; tbm cutter; numerical manifold ... See more keywords
Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method
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DOI: 10.1007/s00707-016-1720-4
Abstract: By studying the transverse dynamics of the axially moving beam, the linear and nonlinear complex modes of gyroscopic continua are investigated based on the invariant manifold method. The nonlinear partial differential equations are truncated into… read more here.
Keywords: linear nonlinear; based invariant; manifold method; invariant manifold ... See more keywords
Modeling phase change problems using a new implementation of the numerical manifold method
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DOI: 10.1016/j.apm.2017.01.022
Abstract: Abstract A phase change is a typical discontinuous problem that occurs when phase interfaces move. This discontinuity can be modeled using the numerical manifold method according to the new implementation described in this study. This… read more here.
Keywords: phase; phase change; manifold method; new implementation ... See more keywords
A high-order numerical manifold method with continuous stress/strain field
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DOI: 10.1016/j.apm.2019.09.034
Abstract: Abstract 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 (HONMM) which is able to obtain continuous stress/strain field… read more here.
Keywords: manifold method; method; continuous stress; stress ... See more keywords
Exact solutions of nonlinear fractional order partial differential equations via singular manifold method
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DOI: 10.1016/j.cjph.2019.09.005
Abstract: Abstract Singular manifold method is applied to solve nonlinear fractional partial differential equations (NLFPDEs). Fractional complex transformation is firstly used to reduce the equations to ordinary differential equations (ODEs). Using Backlund transformation the Schwarzian derivatives… read more here.
Keywords: partial differential; singular manifold; manifold method; nonlinear fractional ... See more keywords
Time-dependent deformation and failure of granite based on the virtual crack incorporated numerical manifold method
Sign Up to like & getrecommendations! Published in 2021 at "Computers and Geotechnics"
DOI: 10.1016/j.compgeo.2021.104070
Abstract: Abstract Micro-cracks are known to greatly affect the mechanical properties of granite and subcritical crack growth (SCG) is considered to be the main mechanism of brittle creep in rocks, including granite. Here, we provide new… read more here.
Keywords: manifold method; method; deformation; brittle creep ... See more keywords
An edge-based smoothed numerical manifold method and its application to static, free and forced vibration analyses
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DOI: 10.1016/j.enganabound.2017.10.006
Abstract: Abstract As a partition of unity (PU) method, the numerical manifold method (NMM) is able to solve continuous and discontinuous problems in a unified manner. However, the accuracy obtained through the traditional NMM (t-NMM) is… read more here.
Keywords: manifold method; edge based; static free; method ... See more keywords
Three-dimensional MLS-based numerical manifold method for static and dynamic analysis
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DOI: 10.1016/j.enganabound.2019.09.014
Abstract: Abstract Due to its unique feature for both continuous and discontinuous problems, Numerical Manifold Method (NMM) has made great achievements in many fields in recent years; however, most of them focused on two dimensions. One… read more here.
Keywords: three dimensional; mls based; manifold method; method ... See more keywords
Stability analysis of soil-rock-mixture slopes using the numerical manifold method
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DOI: 10.1016/j.enganabound.2019.09.020
Abstract: Abstract Recently, fruitful results of geotechnical problems solved by the numerical manifold method (NMM) have been gained. In the present work, the shear strength reduction technique (SSRT) together with the ϕ–υ inequality is implemented into… read more here.
Keywords: stability analysis; manifold method; analysis; numerical manifold ... See more keywords
Local refinement with arbitrary irregular meshes and implementation in numerical manifold method
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DOI: 10.1016/j.enganabound.2021.07.010
Abstract: Abstract The solution accuracy based on finite element interpolation strongly depends on mesh quality. Thus, the numerical manifold method advocates that if a finite element mesh is selected as the mathematical cover, the mesh should… read more here.
Keywords: manifold method; local refinement; refinement arbitrary; irregular meshes ... See more keywords