Bending triangular finite element with a fictitious fourth node based on the strain approach

Abstract

We present a new plate bending triangular finite element. It is developed in perspective to building shell elements. Its formulation uses concepts related to the deformation approach, the fourth fictitious node, the static condensation and analytic integration. It is based on the assumptions of the theory of thin plates (Kirchhoff theory). The approach has resulted in a bending plate finite element (HIMEUR) competitive, robust and efficient.

Sektorski element za analizu debelih cijevi izloženih unutarnjem pritisku i promjeni temperature

“…The strain based approach has recently been cited in literature [1][2][3] with respect to the development of new finite elements, in which the displacement field can be obtained by strain integration. For plane stress problems, the simplest element shapes are obviously the triangle and rectangle with three or four nodes, respectively.…”