An edge-based smoothed finite element method for 3D analysis of solid mechanics problems

SUMMARYThe edge‐based smoothed finite element method (ES‐FEM) was proposed recently in Liu, Nguyen‐Thoi, and Lam to improve the accuracy of the FEM for 2D problems. This method belongs to the wider family of the smoothed FEM for which smoothing cells are defined to perform the numerical integration...

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Vydáno v:International journal for numerical methods in engineering Ročník 94; číslo 8; s. 715 - 739
Hlavní autoři: Cazes, F., Meschke, G.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester Blackwell Publishing Ltd 25.05.2013
Wiley
Témata:
Exact sciences and technology
finite element methods
Fundamental areas of phenomenology (including applications)
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Sciences and techniques of general use
Solid mechanics
solids
Structural and continuum mechanics
structures
Solid mechanics
Finite element method
Polyhedron
System with n degrees of freedom
Numerical integration
solids
Smoothing
finite element methods
Meshless method
Tetrahedral shape
structures
Modeling
ISSN:0029-5981, 1097-0207
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Shrnutí:SUMMARYThe edge‐based smoothed finite element method (ES‐FEM) was proposed recently in Liu, Nguyen‐Thoi, and Lam to improve the accuracy of the FEM for 2D problems. This method belongs to the wider family of the smoothed FEM for which smoothing cells are defined to perform the numerical integration over the domain. Later, the face‐based smoothed FEM (FS‐FEM) was proposed to generalize the ES‐FEM to 3D problems. According to this method, the smoothing cells are centered along the faces of the tetrahedrons of the mesh. In the present paper, an alternative method for the extension of the ES‐FEM to 3D is investigated. This method is based on an underlying mesh composed of tetrahedrons, and the approximation of the field variables is associated with the tetrahedral elements; however, in contrast to the FS‐FEM, the smoothing cells of the proposed ES‐FEM are centered along the edges of the tetrahedrons of the mesh. From selected numerical benchmark problems, it is observed that the ES‐FEM is characterized by a higher accuracy and improved computational efficiency as compared with linear tetrahedral elements and to the FS‐FEM for a given number of degrees of freedom. Copyright © 2013 John Wiley & Sons, Ltd.
Bibliografie:ArticleID:NME4472
istex:480DB645B8FD55718DCE501744799B2FA07375FD
ark:/67375/WNG-FPV6GHBL-1
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4472