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Journal ArticleDOI

Finite element analysis of geometrically nonlinear plate behaviour using a mindlin formulation

A. Pica, +2 more
- 01 Mar 1980 - 
- Vol. 11, Iss: 3, pp 203-215
TLDR
In this article, a finite element analysis of the geometrically nonlinear behaviour of plates using a Mindlin formulation with the assumption of small rotations is presented, and a comparison of the performance of Linear, Serendipity, Lagrangian and Heterosis elements is given for square, skew, circular and elliptical plates subjected to distributed and point loading.
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This article is published in Computers & Structures.The article was published on 1980-03-01. It has received 155 citations till now. The article focuses on the topics: Mixed finite element method & Finite element method.

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Citations
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Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads

TL;DR: In this paper, a generalized shear deformation theory in combination with isogeometric (IGA) approach for nonlinear transient analysis of smart piezoelectric functionally graded material (FGM) plates is presented.
Journal ArticleDOI

A family of quadrilateral Mindlin plate elements with substitute shear strain fields

TL;DR: In this article, it is shown that selectively integrated Mindlin plate elements may be viewed as fully integrated elements with substitute shear strain fields, and the defects of these elements are briefly reviewed and the 4-node element introduced by Bathe and Dvorkin is then generalised into a family of elements which is then studied.
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Low-velocity impact-induced damage of continuous fiber-reinforced composite laminates. Part I. An FEM numerical model

TL;DR: In this paper, a numerical model for simulating the process of low-velocity impact damage in composite laminates using the finite element method is presented, and the impact process between a rigid ball and laminated plates is a stiff system, therefore a kind of A(α) stable method has been advocated here to solve the motion equation of the rigid ball.
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Dynamic instability of composite laminates using a higher order theory

TL;DR: In this paper, a higher order shear deformation theory is used to investigate the instability associated with composite plates subject to dynamic loads, both transverse shear and rotary inertia effects are taken into account.
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An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates

TL;DR: An efficient computational approach based on a generalized unconstrained approach in conjunction with isogeometric analysis (IGA) are proposed for dynamic control of smart piezoelectric composite plates for actuator input voltages.
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

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.
Journal ArticleDOI

Reduced and selective integration techniques in the finite element analysis of plates

TL;DR: In this paper, the authors developed a thin plate theory in which transverse shear strains are accounted for, and the variables in the theory are all kinematic, namely, displacements and independent rotations.