Geometrically Exact Assumed Stress-Strain Four-Node Element Based on the 9-Parameter Shell Model
G.M. Kulikov; E. Carrera; S.V. Plotnikova$^ 1 $, S. Brischetto$^ 2 $
Source ICCES, Vol. 5, No. 3, pp. 187-192
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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.