Smoothed numerical manifold method with physical patch‐based smoothing domains for linear elasticity Article Swipe

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Zhijun Liu , Peng Zhang , Cong Sun , Yongtao Yang ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.1002/nme.6547

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 for which elements align with the physical domain. We extend the strain smoothing in NS‐FEM to the numerical manifold method (NMM) with unfitted meshes, and propose a novel methodology named physical patch‐based smoothed NMM. Benchmark problems demonstrate the optimal convergence, stability in term of the condition number, upper‐bound property, suppression of the volumetric locking, as well as the stress stability.

Related Topics

Polygon Mesh

Finite Element Method

Benchmark (Surveying)

Mathematical Analysis

Geometry

Structural Engineering

Concepts

Smoothing Polygon mesh Finite element method Upper and lower bounds Convergence (economics) Applied mathematics Benchmark (surveying) Mathematics Elasticity (physics) Stability (learning theory) Smoothed finite element method Linear elasticity Numerical stability Algorithm Feature (linguistics) Computer science Mathematical optimization Numerical analysis Mathematical analysis Geometry Structural engineering Engineering Boundary knot method Physics Boundary element method Economic growth Economics Machine learning Philosophy Geography Geodesy Statistics Thermodynamics Linguistics

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Type: article
Language: en
Landing Page: https://doi.org/10.1002/nme.6547
OA Status: gold
Cited By: 17
References: 90
Related Works: 10
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DOI: https://doi.org/10.1002/nme.6547

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Title: Smoothed numerical manifold method with physical patch‐based smoothing domains for linear elasticity

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Language: en

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Publication year: 2020

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Publication date: 2020-09-21

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Authors: Zhijun Liu, Peng Zhang, Cong Sun, Yongtao Yang

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Landing page: https://doi.org/10.1002/nme.6547

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OA URL: https://ir.lzu.edu.cn/handle/262010/469925

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Concepts: Smoothing, Polygon mesh, Finite element method, Upper and lower bounds, Convergence (economics), Applied mathematics, Benchmark (surveying), Mathematics, Elasticity (physics), Stability (learning theory), Smoothed finite element method, Linear elasticity, Numerical stability, Algorithm, Feature (linguistics), Computer science, Mathematical optimization, Numerical analysis, Mathematical analysis, Geometry, Structural engineering, Engineering, Boundary knot method, Physics, Boundary element method, Economic growth, Economics, Machine learning, Philosophy, Geography, Geodesy, Statistics, Thermodynamics, Linguistics

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Cited by: 17

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Citations by year (recent): 2025: 1, 2024: 3, 2023: 6, 2022: 4, 2021: 2

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