Abstract
This work presents a fully nonlinear multi-parameter shell formulation together with a triangular shell finite element for the solution of static boundary value problems. Our approach accounts for thickness variation as additional nodal DOFs, using a director theory with a standard Reissner-Mindlin kinematical assumption. Finite rotations are exactly treated by the Euler-Rodrigues formula in a pure Lagrangean framework, and elastic constitutive equations are consistently derived from fully three-dimensional finite strain constitutive models. The corresponding 6-node triangular shell element is presented as a generalization of the T6-3i triangle introduced by the authors in [3].
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Fellowship funding from FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) and CNPq (Conselho Nacional de Pesquisa), together with the material support and stimulating discussions in IBNM (Institut für Baumechanik und Numerische Mechanik), are gratefully acknowledged in this work.
Received December 2003
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Pimenta, P., Campello, E. & Wriggers, P. A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element. Computational Mechanics 34, 181–193 (2004). https://doi.org/10.1007/s00466-004-0564-2
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DOI: https://doi.org/10.1007/s00466-004-0564-2