Enhanced Shell Elements For The Numerical Simulation Of
Industrial Processes
L. Neamtu
(*)
, F. Flores
(**)
, R. Weyler
(*)
, G. Duffett
(*)
(*)
QUANTECH ATZ, Barcelona, Spain
(**)
National University of Cordoba, Cordoba, Argentina
Abstract. This paper briefly describes a rotation-free three-node triangular shell elements enhanced formulation and
some industrial processes applications where the robustness and accuracy of the element behaviour have been validated.
The enhanced formulation is an extension of the rotation free lamina elements (BST, EBST), used for the analysis of
smooth surfaces, to the general study of complex branched surfaces behaviour (profiles).
INTRODUCTION
The concept of using rotation-free finite elements
for shells is not completely new and the basic
ingredients of the method are a mixed Hu-Washizu
formulation, a standard discretization into three node
triangles, a linear finite element interpolation of the
displacement field within each triangle and a finite
volume type approach for computing constant
curvature and bending moment fields within
appropriate non-overlapping control domains. The so-
called “cell-centered” and “cell-vertex” triangular
domains yield different families of rotation-free plate
and shell triangles. The termed BST (for Basic Shell
Triangle) shell element can be derived from the cell-
centered formulation. Here the “control domain” is an
individual triangle. The constant curvatures field
within a triangle is computed in terms of the
displacements of the six nodes belonging to the four
elements patch formed by the chosen triangle and the
three adjacent triangles. Details can be found in [1]. In
this paper an enhancement of the BST element is
briefly presented in order to deal with branched shells
behavior.
BASIC CONCEPTS
Let us consider a patch of four three node
triangles (FIGURE 1) where the nodes 1, 2 and 3 in
the main central triangle (M) are marked with circles
while the external nodes in the patch (4,5 and 6) are
marked with squares. The central triangles mid side
points are marked with smaller squares.
FIGURE 1. Patch of three node triangular element
including the central triangle (M) and three adjacent
triangles (1, 2 and 3)
FIGURE 2. Patch of elements in the isoparametric space
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