TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Nguyen, Hiep Vinh
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
A1  - Duflot, Marc
T1  - A cell-based smoothed finite element method for three dimensional solid structures
T2  - KSCE Journal of Civil Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
UR  - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/3324
SP  - 1230
EP  - 1242
ER  -