Open Access

ABSTRACT

Geometrically Exact Assumed Stress-Strain Four-Node Element Based on the 9-Parameter Shell Model

G.M. Kulikov¹, E. Carrera², S.V. Plotnikova¹, S. Brischetto²

1 Tambov Technical University, 392000 Tambov, Russia, kulikov@apmath.tstu.ru
2 Politecnico di Torino, 10129 Torino, Italy, erasmo.carrera@polito.it

The International Conference on Computational & Experimental Engineering and Sciences 2008, 5(3), 187-192. https://doi.org/10.3970/icces.2008.005.187

Abstract

This paper presents the geometrically exact assumed stress-strain four-node element with nine displacement degrees of freedom per node. The finite element formulation developed is based on the 9-parameter shell model by employing a new concept of interpolation surfaces (I-surfaces) inside the shell body. We introduce three I-surfaces and choose nine displacements of these surfaces as fundamental shell unknowns. Such choice allows us to represent the higher-order shell formulation in a very compact form and to derive in curvilinear reference surface coordinates the strain-displacement relationships, which are objective, i.e. invariant under all rigid-body motions.

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