Premium
Smoothed numerical manifold method with physical patch‐based smoothing domains for linear elasticity
Author(s) -
Liu Zhijun,
Zhang Peng,
Sun Cong,
Yang Yongtao
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6547
Subject(s) - smoothing , finite element method , polygon mesh , upper and lower bounds , mathematics , convergence (economics) , smoothed finite element method , linear elasticity , stability (learning theory) , elasticity (physics) , numerical stability , benchmark (surveying) , algorithm , computer science , mathematical optimization , numerical analysis , mathematical analysis , geometry , structural engineering , engineering , boundary knot method , physics , statistics , geodesy , machine learning , boundary element method , geography , economics , economic growth , thermodynamics
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.