A 4-Node Co-Rotational Quadrilateral Composite Shell Element

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Title: A 4-Node Co-Rotational Quadrilateral Composite Shell Element
Author(s): Li, ZX
Zheng, T
Vu-Quoc, L
Izzuddin, BA
Item Type: Journal Article
Abstract: A 4-node co-rotational quadrilateral composite shell element is presented. The local coordinate system of the element is a co-rotational framework defined by the two bisectors of the diagonal vectors generated from the four corner nodes and their cross product. Thus, the element rigid-body rotations are excluded in calculating the local nodal variables from the global nodal variables. Compared with other existing co-rotational finite-element formulations, the present element has two features: (i) The two smallest components of the mid-surface normal vector at each node are defined as the rotational variables, leading to the desired additive property for all nodal variables in a nonlinear incremental solution procedure; (ii) both element tangent stiffness matrices in the local and global coordinate systems are symmetric owing to the commutativity of the nodal variables in calculating the second derivatives of strain energy with respect to the local nodal variables and, through chain differentiation with respect to the global nodal variables. In the modeling of composite structures, the first-order shear deformable laminated plate theory is adopted in the local element formulation, where both the thickness deformation and the normal stress in the direction of the shell thickness are ignored, and an assumed strain method is employed to alleviate the membrane and shear locking phenomena. Several examples involving composite plates and shells with large displacements and large rotations are presented to testify to the reliability and convergence of the present formulation.
Publication Date: 25-Sep-2015
Date of Acceptance: 11-Aug-2015
URI: http://hdl.handle.net/10044/1/49898
DOI: https://dx.doi.org/10.1142/S0219455415500534
ISSN: 0219-4554
Publisher: World Scientific Publishing
Journal / Book Title: International Journal of Structural Stability and Dynamics
Volume: 16
Issue: 9
Copyright Statement: © 2015 World Scientific Publishing Company. Electronic version of an article published as International Journal of Structural Stability and Dynamics, Vol. 16, No. 09, 2015, 29 pages 10.1142/S0219455415500534. https://dx.doi.org/10.1142/S0219455415500534
Keywords: Science & Technology
Technology
Engineering, Civil
Engineering, Mechanical
Mechanics
Engineering
4-node quadrilateral shell element
composite
co-rotational approach
vectorial rotational variable
assumed strain method
additive rotational variable
GEOMETRICALLY NONLINEAR-ANALYSIS
VECTORIAL ROTATIONAL VARIABLES
EXACT SANDWICH SHELLS
HIGHER-ORDER THEORY
FINITE-ELEMENT
PIEZOELECTRIC LAYERS
FORMULATION
PLATES
EFFICIENT
DYNAMICS
0905 Civil Engineering
0913 Mechanical Engineering
Publication Status: Published
Article Number: ARTN 1550053
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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