Smoothed Finite Element Method
Author(s)
Dai, K.Y.
Liu, Guirong
Date Issued
January 2007
Series/Report no.
Computational Engineering (CE)
Abstract
In this paper, the smoothed finite element method (SFEM) is proposed for 2D elastic problems by incorporation of the cell-wise strain smoothing operation into the conventional finite elements. When a constant smoothing function is chosen, area integration becomes line integration along cell boundaries and no derivative of shape functions is
needed in computing the field gradients. Both static and dynamic numerical examples are analyzed in the paper. Compared with the conventional FEM, the SFEM achieves more accurate results and generally higher convergence rate in energy without increasing computational cost. In addition, as no mapping or coordinate transformation is performed in
the SFEM, the element is allowed to be of arbitrary shape. Hence the well-known issue of the shape distortion of isoparametric elements can be resolved.
Subjects
Finite Element Method (FEM)
Gauss Quadrature
Isoparametric Element
Smoothed Finite Element Method (SFEM)
Strain Smoothing
Persistent DSpace Link
