1. 1. 2. 3. 4. 5. 6. 7. 8. © Finite Element Formulation Of A Third Order Laminated Finite Rotation Shell Element Balah, M; Al-Ghamedy, HN PERGAMON-ELSEVIER SCIENCE LTD, COMPUTERS STRUCTURES; pp: 1975-1990; Vol: 80 King Fahd University of Petroleum & Minerals http://www.kfupm.edu.sa Summary The present paper describes a geometrically nonlinear finite element formulation of a four-node isoparametric laminated shell element based on a cubic displacement field over the shell thickness. The finite element implementation is based on a formulation proposed recently by the authors [Acta Mech., submitted for publication]. A singularity free parametrization of the rotation field is adopted. A geometrically exact configuration update scheme which uses the exponential mapping is developed. A particular attention is devoted to the consistent linearization of the equilibrium equations in order to achieve quadratic rate of convergence typical for the Newton- Raphson solution procedure. The capability of the element to deal with strongly nonlinear situations is demonstrated by examples involving large rotations, buckling and postbuckling analysis. The results are compared with other formulations available in the literature. (C) 2002 Elsevier Science Ltd. All rights reserved. References: ARGYRIS JH, 1982, COMPUT METHS APPL ME, V32, P85 BALAH M, UNPUB ACTA MECH BASAR Y, 1993, INT J SOLIDS STRUCT, V30, P2611 BETSCH P, 1998, COMPUT METHOD APPL M, V155, P273 BISCHOFF M, 1997, INT J NUMER METH ENG, V40, P4427 BRANK B, 1995, COMPUT MECH, V16, P341 BRAUN M, 1994, COMPUT MECH, V15, P1 BUECHTER N, 1992, INT J NUMER METH ENG, V34, P39 Copyright: King Fahd University of Petroleum & Minerals; http://www.kfupm.edu.sa

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