A Corner Sampling Point Quadrature Method for 3 Node Triangular Element for the Evaluation of Element Stiffness Matrix in Finite Element Analysis

Abstract

Recently many literature study focuses on development on new elements in finite elements. This paper aims to develop a new quadrature for the 3 node triangular element for the purpose evaluation of element stiffness matrix. The analysis of triangular element is usually done in a quadrilateral element by dividing the quadrilateral element into two. The corner sampling point quadrature is a mimics of Gauss numerical integration scheme. This sampling integration scheme consists of 5 sampling points and weights where four sampling points are at the corner and one at the Centre of the element. Accuracy of results, Convergence of the results and stability of values been tested using standard benchmarked problems defined by various research studies.

Keywords: Quadrature, Triangular Element, Finite Element, Stiffness Matrix.