Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element |
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Authors: | Erez Gal Robert Levy |
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Affiliation: | (1) Department of Structural Engineering Faculty of Engineering, Ben-Gurion University, 84105 Beer Sheva, Israel;(2) Faculty of Civil and Environmental Engineering, Technion-Israel Institute of Technology, 32000 Haifa, Israel |
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Abstract: | 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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