Abstract
In this paper, a four-node quadrilateral flat shell element is proposed for geometrically nonlinear analysis based on updated Lagrangian formulation with the co-rotational kinematics concept. The flat shell element combines the membrane element with drilling degrees of freedom and the plate element with shear deformation. By means of these linearized elements, a simplified nonlinear analysis procedure allowing for warping of the flat shell element and large rotation is proposed. The tangent stiffness matrix and the internal force recovery are formulated in this paper. Several classic benchmark examples are presented to validate the accuracy and efficiency of the proposed new and more proficient element for practical engineering analysis of shell structures.
| Original language | English |
|---|---|
| Pages (from-to) | 1248-1272 |
| Number of pages | 25 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 108 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 7 Dec 2016 |
Keywords
- drilling degree of freedom
- geometric nonlinear
- large rotation
- quadrilateral flat shell element
- shear deformation
- warping
ASJC Scopus subject areas
- Numerical Analysis
- General Engineering
- Applied Mathematics