A simple finite element model for the geometrically nonlinear analysis of thin shells |
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| Authors: | E Providas M A Kattis |
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| Affiliation: | (1) Department of Mechanical and Industrial Engineering, University of Thessaly, Volos 383 34, Greece, GR;(2) Department of Civil Engineering, University of Thessaly, Volos 383 34, Greece, GR |
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| Abstract: | A triangular flat finite element for the analysis of thin shells which undergo large displacements is proposed. It is based
upon the geometrically nonlinear theory of von Kármán for thin plates and the total Lagrangian approach. It has a total of
only twelve degrees of freedom, namely, three translations at each vertex and one rotation at each mid-side. The stiffness
matrix and the tangent stiffness matrix are derived explicitly. The element is tested against nonlinear patch test solutions
and its performance is evaluated by solving several standard problems. The directional derivatives of the potential energy
function required for the stability analysis are also provided.
Received 10 September 1997 |
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