A stabilized co‐rotational curved quadrilateral composite shell element |
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| Authors: | Z X Li Y F Liu B A Izzuddin L Vu‐Quoc |
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| Affiliation: | 1. Department of Civil Engineering, Zhejiang University, Hangzhou 310058, People's Republic of China;2. Department of Civil and Environmental Engineering, Imperial College London, London SW7 2BU, U.K.;3. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611, U.S.A. |
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| Abstract: | A new curved quadrilateral composite shell element using vectorial rotational variables is presented. An advanced co‐rotational framework defined by the two vectors generated by the four corner nodes is employed to extract pure element deformation from large displacement/rotation problems, and thus an element‐independent formulation is obtained. The present line of formulation differs from other co‐rotational formulations in that (i) all nodal variables are additive in an incremental solution procedure, (ii) the resulting element tangent stiffness is symmetric, and (iii) is updated using the total values of the nodal variables, making solving dynamic problems highly efficient. To overcome locking problems, uniformly reduced integration is used to compute the internal force vector and the element tangent stiffness matrix. A stabilized assumed strain procedure is employed to avoid spurious zero‐energy modes. Several examples involving composite plates and shells with large displacements and large rotations are presented to testify to the reliability, computational efficiency, and accuracy of the present formulation. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | co‐rotational approach vectorial rotational variable additive rotational variable stabilization method composite shell element symmetry |
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