A new strain-based finite element for plane elasticity problems

Hamadi, D., Ayoub, A. & Maalem, T. (2016). A new strain-based finite element for plane elasticity problems. Engineering Computations, 33(2), pp. 562-579. doi: 10.1108/EC-09-2014-0181

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Abstract

Purpose
The purpose of this paper is to develop a new quadrilateral strain-based element. The element has five nodes, four at the corners as well as an internal node.

Design/methodology/approach
Through the introduction of the internal node, the numerical performance of the element proved to be superior to existing elements in the literature, even though a static condensation is required.

Findings
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 linear elasticity problems resulting in excellent results.

Originality/value
The results obtained are comparable with those given by the robust element Q8.

Item Type: Article
Uncontrolled Keywords: Analytical integration, Quadrilateral element, Static condensation, Strain based
Subjects: Q Science > QC Physics
T Technology > TJ Mechanical engineering and machinery
Divisions: School of Engineering & Mathematical Sciences > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/15884

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