A new strain-based finite element for plane elasticity problems

作者：Hamadi Djamal; Ayoub Ashraf^*; Maalem Toufik

来源：Engineering Computations, 2016, 33(2): 562-579.

DOI：10.1108/EC-09-2014-0181

• Analytical integration
• Quadrilateral element
• Static condensation
• Strain based

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.

• 出版日期2016