Reference : A cell-based smoothed finite element method for three dimensional solid structures
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
A cell-based smoothed finite element method for three dimensional solid structures
Nguyen-Xuan, Hung [Dept. of Mechanics, Faculty of Mathematics and Computer Science, University of Science, Vietnam National University - HCM, Hochiminh 700000, Viet Nam, CENAERO, Rue des Frres Wright 29, 6041 Gosselies, Belgium]
Nguyen, Ha Manh mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Center for Research in Economic Analysis (CREA) >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rabczuk, Timon [School of Engineering, Institute of Theoretical, Applied and Computational Mechanics, Cardiff University, Wales, United Kingdom]
Duflot, Marc [Institute of Structural Mechanics, Bauhaus-University Weimar, 99423 Weimar, Germany]
KSCE Journal of Civil Engineering
[en] Cell-based ; Finite Element ; Hexahedral elements ; Lower stress ; Nearly incompressible ; Numerical example ; Quadrilateral finite element ; Smoothed finite element method ; Smoothed finite elements ; Smoothing techniques ; Stabilization techniques ; Three-dimensional solids ; Cells ; Elasticity ; Finite element method ; Stabilization ; Cytology
[en] This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided into 1 or several smoothing cells. It is observed that: 1) The CS-FEM using a single smoothing cell can produce higher stress accuracy, but insufficient rank and poor displacement accuracy; 2) The CS-FEM using several smoothing cells has proper rank, good displacement accuracy, but lower stress accuracy, especially for nearly incompressible and bending dominant problems. We therefore propose 1) an extension of strain smoothing to 8-noded hexahedral elements and 2) an alternative CS-FEM form, which associates the single smoothing cell issue with multi-smoothing cell one via a stabilization technique. Several numerical examples are provided to show the reliability and accuracy of the present formulation.
Vietnam National Foundation for Science and Technology Development (NAFOSTED); (Grant No. 107.02- 2012.17)

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