A new strain-based finite element for plane elasticity problems Available to Purchase

In 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 in the literature, 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 linear elasticity problems resulting in excellent results.

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