Journal ArticleDOI
Refined quadrilateral element based on Mindlin/Reissner plate theory
Chen Wanji,Y.K. Cheung +1 more
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TLDR
In this article, a new quadrilateral thin/thick plate element RDKQM based on the Mindlin/Reissner plate theory is proposed, which can pass the patch test required for the Kirchhoff thin plate elements, and most important, it is free from locking phenomenon for extremely thin plates.Abstract:
A new quadrilateral thin/thick plate element RDKQM based on the Mindlin/Reissner plate theory is proposed. The exact displacement function of the Timoshenko's beam is used to derive the element displacements of the refined element RDKQM. The convergence for the very thin plate can be ensured theoretically. Numerical examples presented show that the proposed model indeed possesses higher accuracy in the analysis of thin/thick plates. It can pass the patch test required for the Kirchhoff thin plate elements, and most important of all, it is free from locking phenomenon for extremely thin plates. Copyright © 2000 John Wiley & Sons, Ltd.read more
Citations
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A smoothed finite element method for plate analysis
TL;DR: In this paper, a quadrilateral element with smoothed curvatures for Mindlin-Reissner plates is proposed, where the curvature at each point is obtained by a non-local approximation via a smoothing function.
Finite Elements in Analysis andDesign
G.Y. Zhanga,G.R. Liua,Y. Lib +2 more
TL;DR: In this paper, the authors present a survey of the state of the art in the field of computer vision and artificial intelligence, and present their conclusions about the future of the field.
Journal ArticleDOI
A cell-based smoothed discrete shear gap method using triangular elements for static and free vibration analyses of Reissner–Mindlin plates
Trung Nguyen-Thoi,Trung Nguyen-Thoi,P. Phung-Van,Hung Nguyen-Xuan,Hung Nguyen-Xuan,C. Thai-Hoang +5 more
TL;DR: In this article, the cell-based smoothed discrete shear gap method (CS-DSG3) was proposed for static and free vibration analyses of Reissner-Mindlin plates.
Journal ArticleDOI
Geometrically nonlinear analysis of laminated composite plates by two new displacement-based quadrilateral plate elements
Yixia Zhang,K.S. Kim +1 more
TL;DR: In this article, a displacement-based 4-node quadrilateral element RDKQ-NL20 and a displacement based 4-Node Quadrilateral Plane Element (QPE) is proposed for geometrically nonlinear analysis of thin to moderately thick laminated composite plates.
Journal ArticleDOI
A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method
TL;DR: In this paper, a unified technique for solving the plate bending problems by extending the scaled boundary finite element method is presented, which is based on the three-dimensional governing equation without enforcing the kinematics of plate theory.
References
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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.
Journal ArticleDOI
Mixed finite element methods—reduced and selective integration techniques: a unification of concepts
D. S. Malkus,Thomas J. R. Hughes +1 more
TL;DR: The equivalence of certain classes of mixed finite element methods with displacement methods which employ reduced and selective integration techniques is established, which enables one to obtain the accuracy of the mixed formulation without incurring the additional computational expense engendered by the auxiliary field of the Mixed method.
Journal ArticleDOI
A simple and efficient finite element for plate bending
TL;DR: In this paper, a simple and efficient finite element is introduced for plate bending applications, where Bilinear displacement and rotation functions are employed in conjunction with selective reduced integration, and the element is surprisingly accurate.