Static analysis of reissner-mindlin plates by a cell-based smoothed discrete shear gap method (cs-dsg3) using triangular elements

Abstract

The cell-based strain smoothing technique is combined with  discrete shear gap method  (DSG3) using three-node triangular elements to give a so-called the cell-based smoothed discrete shear gap method (CS-DSG3) for static  analysis of Reissner-Mindlin plates.  In the process of formulating  the CS-DSG3, each triangular element is divided into three sub-triangles, and in each sub-triangle, the stabilized DSG3 is used to compute the strains and to avoid the transverse shear locking. Then the strain smoothing technique on whole the triangular element is used to smooth the strains on these three  sub-triangles.  The  numerical  examples  demonstrated  that  the  CS-DSG3  is  free  of  shear locking, passes the patch test  and achieves the high accuracy compared to others existing elements.

Keywords:  Reissner-Mindlin  plate,  shear  locking,  cell-based  smoothed  discrete  shear  gap technique (CS-DSG3), discrete shear gap method (DSG), strain smoothing technique.