A New Quadratic Membrane Element
In finite element method, the order of complete polynomial of the interpolation function is related to the number of nodes in the element. This paper presents a four-node quadrilateral element with quadratic function on it. The presented displacement functions maintain C0-continuity. Meanwhile, the element stiffness matrix is derived from the displacement functions. Test problems show that high accuracy can be achieved by the use of the new displacement function on the element.
Kikuo Kishimoto, Masanori Kikuchi, Tetsuo Shoji and Masumi Saka
S. L. Wang et al., "A New Quadratic Membrane Element", Key Engineering Materials, Vols. 261-263, pp. 537-542, 2004