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Stress Smoothing Along Polygonal Boundaries

Author(s):

Premanand Shenoy , National Institute of Technology Karnataka; K S Babunarayan , National Institute of Technology Karnataka; Katta Venkataramana, National Institute of Technology Karnataka

Keywords:

Finite Element Method, Smoothing, Moving Least Square Method, Stress Recovery

Abstract

Finite Element Analysis applied to Solid Mechanics problems, leads to uniform Stresses to be throughout the element. This results in disparities at the intersection of elements along the edges and at nodes connecting a number of elements. Hence a smoothing technique is required to arrive at an appropriate stress value which could be obtained from those values in the vicinity, within certain accepted levels of accuracy. Moving Least Square Method with Moving Polynomial formulation has been conceptualized here to smoothen the stress values along the boundary of an area of influence of a node connecting a number of elements in a typical 2D elastic problem. Its utility to find the stresses at Gauss points along the boundary is illustrated and its applicability in interpolation is studied.

Other Details

Paper ID: IJSRDV3I50776
Published in: Volume : 3, Issue : 5
Publication Date: 01/08/2015
Page(s): 1223-1227

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