Computer Methods in Applied Mechanics and Engineering
A new one-point quadrature, quadrilateral shell element with drilling degrees of freedom
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Cited by (35)
Generalization of the Vlasov theory for lateral torsional buckling analysis of built-up monosymmetric assemblies
2020, Engineering StructuresMultilayered triangular and quadrilateral flat shell elements based on the Refined Zigzag Theory
2020, Composite StructuresCitation Excerpt :Since FSDT defines only the rotations around the two in-plane axes, it is not possible to associate a stiffness to the rotation around the normal axis (also known as drilling rotation). In literature several strategies that address this issue have been proposed and these methods may be classified in four classes according to the fact that are based on (1) adding a fictitious stiffness to the drilling rotation [54–56], (2) enhancing the strain field with non-conforming modes [57,58], (3) modifying the variational statement by bringing in an additional term related to the rotation around the element’s normal [59–62] (4) introducing the drilling rotation at the shape-function level [63–69]. In particular, in [67,68], the elimination of shear locking and the introduction of the drilling rotation are addressed together for plate elements based on FSDT [67] and on his {1,2} theory by Tessler [68].
A non-conforming plate facet-shell finite element with drilling stiffness
2011, Finite Elements in Analysis and DesignCitation Excerpt :Despite the applicability of the numerical strategies described in the previous section, a membrane formulation with natural drilling stiffness is obviously a better solution to introduce the out-plane rotation degrees-of-freedom into a facet-shell finite element. The fictitious terms introduced in the membrane formulation do not have a real physical meaning in the finite element deformation [8]. This limitation represents a classical issue in the development of improved membrane finite elements.
Analysis of shear wall structure using optimal membrane triangle element
2007, Finite Elements in Analysis and DesignCitation Excerpt :They showed that the new element was more efficient compared with the author's earlier proposed shell element. Zhu et al. [21] discussed the development of a new quadrilateral shell element with drilling degrees of freedom. One point quadrature was used for the analysis of nonlinear geometrical and material problems.
A unified stress update algorithm for explicit transient shell dynamics with combined isotropic-kinematic hardening in Eulerian rate-type phenomenological finite elasto-plasticity models
2007, Computer Methods in Applied Mechanics and Engineering
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