Media type: E-Article; Text Title: On two simple virtual Kirchhoff-Love plate elements for isotropic and anisotropic materials Contributor: Wriggers, P. [Author]; Hudobivnik, B. [Author]; Allix, O. [Author] imprint: Berlin; Heidelberg : Springer, 2021 Published in: Computational mechanics : solids, fluids, engineered materials, aging infrastructure, molecular dynamics, heat transfer, manufacturing processes, optimization, fracture & integrity 69 (2022), Nr. 2 ; Computational mechanics : solids, fluids, engineered materials, aging infrastructure, molecular dynamics, heat transfer, manufacturing processes, optimization, fracture & integrity Issue: published Version Language: English DOI: https://doi.org/10.15488/12913; https://doi.org/10.1007/s00466-021-02106-1 Keywords: Stabilisation ; Kirchhoff-Love theory ; Isotropic/anisotropic material ; Virtual plate element ; Finite plate element ; Virtual element method (VEM) Origination: Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen. Description: The virtual element method allows to revisit the construction of Kirchhoff-Love elements because the C1-continuity condition is much easier to handle in the VEM framework than in the traditional Finite Elements methodology. Here we study the two most simple VEM elements suitable for Kirchhoff-Love plates as stated in Brezzi and Marini (Comput Methods Appl Mech Eng 253:455–462, 2013). The formulation contains new ideas and different approaches for the stabilisation needed in a virtual element, including classic and energy stabilisations. An efficient stabilisation is crucial in the case of C1-continuous elements because the rank deficiency of the stiffness matrix associated to the projected part of the ansatz function is larger than for C-continuous elements. This paper aims at providing engineering inside in how to construct simple and efficient virtual plate elements for isotropic and anisotropic materials and at comparing different possibilities for the stabilisation. Different examples and convergence studies discuss and demonstrate the accuracy of the resulting VEM elements. Finally, reduction of virtual plate elements to triangular and quadrilateral elements with 3 and 4 nodes, respectively, yields finite element like plate elements. It will be shown that these C1-continuous elements can be easily incorporated in legacy codes and demonstrate an efficiency and accuracy that is much higher than provided by traditional finite elements for thin plates. © 2021, The Author(s). Access State: Open Access Rights information: Attribution (CC BY)