Original scientific paper

MIXED MESHLESS PLATE ANALYSIS USING B-SPLINE INTERPOLATION

Jurica Sorić ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Josip Hoster ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Tomislav Jarak ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Boris Jalušić ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia

Abstract

A new mixed meshless approach using the interpolation of both stress and displacement has been proposed for the analysis of plate deformation responses. Kinematic of a three dimensional solid is adopted and discretization is performed by nodes located on the upper and lower plate surfaces. Governing equations are derived by employing the local Petrov-Galerkin approach. The approximation of all unknown field variables is carried out by using the B-spline interpolation and the moving least squares functions in the in-plane directions, while linear polynomials are applied in the transversal direction. In order to eliminate the thickness locking effect, the hierarchical quadratic interpolation of the transversal displacement component through the thickness is used. The shear locking effect is efficiently suppressed by the interpolation of the stress field independently from the displacement. The numerical efficiency of the derived algorithm is demonstrated by numerical examples.

Keywords

mixed meshless approach; plates; B-spline interpolation; shear locking; thickness locking

Hrčak ID:

138261

URI

https://hrcak.srce.hr/138261

Publication date:

17.4.2015.

Visits: 1.613 *