A new strain-based finite element for plane elasticity problems

Abstract

This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent A New Strain-Based Finite Element for Plane Elasticity Problems ABSTRACTIn this paper, a new quadrilateral strain-based element is developed. The element has five nodes, four at the corners as well as an internal node. Through the introduction of the internal node, the numerical performance of the element proved to be superior to existing elements, even though a static condensation is required. From several numerical examples, it is shown that convergence can be achieved with the use of only a small number of finite elements. The proposed element can be used to solve general plane elasticity problems resulting in excellent results. The results obtained are comparable with those given by the robust element Q8.

Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements

“…In short, many researchers have presented new formulations for the strain-based elements that satisfy both compatibility and equilibrium conditions [20] , [21] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] , [32] , [33] . However, only a handful of them (such as [20] , [21] , 25 , 33] ) have described the techniques used to obtain the functions that satisfy both conditions, causing the techniques used in the remainder to be left unknown.…”

A four-node rectangular plate finite element using Airy functions with transverse shear

“…A set of elements have been developed by many researchers to analyze numerically different engineering problems. A new quadrilateral strain based for linear elasticity problems have been formulated by Djamal et al . (2016a) and the results obtained are very significant.…”

A Study on Formulation of Strain-Based Triangular Elements

“…Since then, new strain-based elements have started to emerge, particularly in the form of plane elements for plane elasticity problems [4,5]. Application of the strain-based elements can also be seen in plate bending [6,7], linear and dynamic analysis [8,9], fracture mechanics [10] and so on.…”