Advances in Shell Finite Elements

Les elements finis " rotation free " constituent une alternative seduisante aux elements plaques-coques classiques. Cependant la principale limitation de ces elements a notre sens, est leur sensibilite a la distorsion du maillage, seuls des maillages reguliers peuvent conduire a des resultats tres precis. Dans ce contexte, l'objectif de ce papier est la presentation d'un nouvel element (appele SFE3) qui, tout en etant precis, presente une tres faible sensibilite a la distorsion du maillage.

https://hal.archives-ouvertes.fr/hal-01413176/document

Un nouvel élément fini triangulaire coque sans degré de liberté de rotation: insensible à la distorsion du maillage et adapté aux transformations finies

This article deals with the improvement of curvature calcul ation of the SFE thin shell finite elements. This element has only three degrees of freedom in translation per node. In order to calculate the curvature, tranlastions at nodes of adjacent elements are needed. So, this element is called " Semi-Finite Element". The effeciency of computation depends on the accuracy of curvature calculation. Three new curvature formulations are studied : normal linear interpolation, polynomial interpolation and Sibson inter polants. Then they are compared with the current formulation on two meshes that curvature is known. The results sho w a quite good accuracy of the formulation based on polynomial interpolation.

Sylvain Couedo

Papers

Advances in Shell Finite Elements

Un nouvel élément fini triangulaire coque sans degré de liberté de rotation: insensible à la distorsion du maillage et adapté aux transformations finies

Amélioration du calcul de la courbure des éléments finis coques sfe