Journal ArticleDOI
A robust triangular plate bending element of the Reissner–Mindlin type
O. C. Zienkiewicz,D. Lefebvre +1 more
TLDR
In this paper, a new triangular plate element is presented based on independent interpolations for slopes, displacement and shear forces, and it is shown that it does not suffer from any defect common to other Mindlin plate elements.Abstract:
A new triangular plate element is presented. This new element is based on independent interpolations for slopes, displacement and shear forces, and it is shown that it does not suffer from any defect common to other Mindlin plate elements. Several examples are presented to illustrate the behaviour of this new element.read more
Citations
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Journal ArticleDOI
Adaptivity and mesh generation
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: The paper considers all three aspects of error estimation, introducing some novel concepts in error estimation and discussing in some detail the problem of mesh generation, and introduces the other papers of this special issue, which discuss various aspects in more detail.
Journal ArticleDOI
An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates
TL;DR: An edge-based smoothed finite element method (ES-FEM) for static, free vibration and buckling analyses of Reissner-Mindlin plates using 3-node triangular elements is studied in this paper.
Journal ArticleDOI
Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments
Wei Zeng,Gui-Rong Liu +1 more
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
BookDOI
Mixed Finite Elements, Compatibility Conditions, and Applications
Daniele Boffi,Franco Brezzi,Leszek Demkowicz,Ricardo G. Durán,Richard S. Falk,Michel Fortin,Lucia Gastaldi +6 more
TL;DR: Since the early 70’s, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities, and their use has been introduced in several commercial codes.
Journal ArticleDOI
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
Hung Nguyen-Xuan,Hung Nguyen-Xuan,Timon Rabczuk,Nhon Nguyen-Thanh,Trung Nguyen-Thoi,Trung Nguyen-Thoi,Stéphane Bordas +6 more
TL;DR: In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
Journal ArticleDOI
The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more
Journal ArticleDOI
Reduced integration technique in general analysis of plates and shells
TL;DR: In this article, a simple extension is made which allows the element to be economically used in all situations by reducing the order of numerical integration applied to certain terms without sacrificing convergence properties.
Journal ArticleDOI
A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
TL;DR: In this article, a 4-node plate bending element for linear elastic analysis is presented, as a special case, from a general nonlinear continuum mechanics based four-node shell element formulation.