A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element

Pimenta, PM

doi:10.1007/s00466-004-0564-2

A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element

2004-07-13

43

PRE

AI

P

Pimenta, PM *

E

Eduardo M. B. Campello

P

Peter Wriggers

DOI：10.1007/s00466-004-0564-2

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Abstract

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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].

Keywords:

thickness variation

large strains

finite rotations

triangular shell element

A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element

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