A new 3D 6-node solid finite element based upon the “Space Fibre Rotation” concept

Authors

  • Kamel Meftah Department of Mechanics, University of Biskra, B.P. 145, R.P., 07000 Biskra, Algeria
  • Rezak Ayad Laboratoire d’Ingénierie & Sciences des Matériaux (LISM), Université de Reims Champagne-Ardenne, UFR SEN, Moulin de la Housse (15-18), BP 1039, 51687 Reims cedex 2, France;
  • Mabrouk Hecini Laboratory of Mechanical Engineering, University of Biskra, B.P. 145, R.P., 07000 Biskra, Algeria

Keywords:

3D finite element, wedge element, Space Fibre Rotation, zero-energy modes

Abstract

This paper presents the development of a new 6-node solid wedge element with three translational and three rotational degrees of freedom per node. It is based on the model Space Fibre Rotation (SFR). Using the rotation of a material fibre in 3D space, the SFR approach allows to get a more accurate displacement field, which becomes quadratic without changing the number of nodes of the element. It is economical since only two integration points are used. In order to evaluate the usual element stiffness, a small penalty stiffness is introduced so that no zero energy modes appear while preserving the advantage of reduced integration. Several benchmark tests have demonstrated the improved performance of the present element.

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Published

2013-01-01

How to Cite

Kamel Meftah, Rezak Ayad, & Mabrouk Hecini. (2013). A new 3D 6-node solid finite element based upon the “Space Fibre Rotation” concept. European Journal of Computational Mechanics, 22(1), 1–29. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1411

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