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Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element

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Summary

This paper presents a state of the art review on geometrically nonlinear analysis of shell structures that is limited to the co-rotational approach and to flat triangular shell finite elements. These shell elements are built up from flat triangular membranes and plates. We propose an element comprised of the constant strain triangle (CST) membrane element and the discrete Kirchhoff (DKT) plate element and describe its formulation while stressing two main issues: the derivation of the geometric stiffness matrix and the isolation of the rigid body motion from the total deformations. We further use it to solve a broad class of problems from the literature to validate its use.

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  1. Department of Structural Engineering Faculty of Engineering, Ben-Gurion University, 84105, Beer Sheva, Israel

    Erez Gal

  2. Faculty of Civil and Environmental Engineering, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Robert Levy

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Gal, E., Levy, R. Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element. ARCO 13, 331–388 (2006). https://doi.org/10.1007/BF02736397

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