Details
Original language | English |
---|---|
Pages (from-to) | 181-193 |
Number of pages | 13 |
Journal | Computational mechanics |
Volume | 34 |
Issue number | 3 |
Publication status | Published - 13 Jul 2004 |
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].
Keywords
- Finite rotations, Large strains, Thickness variation, Triangular shell element
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 34, No. 3, 13.07.2004, p. 181-193.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A fully nonlinear multi-parameter shell model with thickness variation and a triangular shell finite element
AU - Pimenta, P. M.
AU - Campello, E. M.B.
AU - Wriggers, Peter
PY - 2004/7/13
Y1 - 2004/7/13
N2 - 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].
AB - 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].
KW - Finite rotations
KW - Large strains
KW - Thickness variation
KW - Triangular shell element
UR - http://www.scopus.com/inward/record.url?scp=5444232950&partnerID=8YFLogxK
U2 - 10.1007/s00466-004-0564-2
DO - 10.1007/s00466-004-0564-2
M3 - Article
AN - SCOPUS:5444232950
VL - 34
SP - 181
EP - 193
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 3
ER -