A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements

This paper presents a novel face‐based smoothed finite element method (FS‐FEM) to improve the accuracy of the finite element method (FEM) for three‐dimensional (3D) problems. The FS‐FEM uses 4‐node tetrahedral elements that can be generated automatically for complicated domains. In the FS‐FEM, the s...

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Vydáno v:International journal for numerical methods in engineering Ročník 78; číslo 3; s. 324 - 353
Hlavní autoři: Nguyen-Thoi, T., Liu, G. R., Lam, K. Y., Zhang, G. Y.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 16.04.2009
Wiley
Témata:
Computational techniques
Exact sciences and technology
face-based smoothed finite element method (FS-FEM)
finite element method (FEM)
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
meshfree methods
numerical methods
Physics
smoothed finite element method (SFEM)
smoothed technique
Solid mechanics
Structural and continuum mechanics
tetrahedral elements
Solid mechanics
Stiffness matrix
numerical methods
Tetrahedral shape
Displacement(deformation)
smoothed finite element method (SFEM)
face-based smoothed finite element method (FS-FEM)
finite element method (FEM)
Incompressible material
Modeling
Penalty method
Finite element method
meshfree methods
smoothed technique
Smoothing
Meshless method
tetrahedral elements
ISSN:0029-5981, 1097-0207
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Shrnutí:This paper presents a novel face‐based smoothed finite element method (FS‐FEM) to improve the accuracy of the finite element method (FEM) for three‐dimensional (3D) problems. The FS‐FEM uses 4‐node tetrahedral elements that can be generated automatically for complicated domains. In the FS‐FEM, the system stiffness matrix is computed using strains smoothed over the smoothing domains associated with the faces of the tetrahedral elements. The results demonstrated that the FS‐FEM is significantly more accurate than the FEM using tetrahedral elements for both linear and geometrically non‐linear solid mechanics problems. In addition, a novel domain‐based selective scheme is proposed leading to a combined FS/NS‐FEM model that is immune from volumetric locking and hence works well for nearly incompressible materials. The implementation of the FS‐FEM is straightforward and no penalty parameters or additional degrees of freedom are used. The computational efficiency of the FS‐FEM is found better than that of the FEM. Copyright © 2008 John Wiley & Sons, Ltd.
Bibliografie:istex:22548B260C098F56E0B79CB03458E3D962EB4408
ArticleID:NME2491
ark:/67375/WNG-R4P40NJB-Q
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2491