Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
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This article is published in Journal of Applied Mechanics-transactions of The Asme.The article was published on 1951-03-01. It has received 4554 citations till now. The article focuses on the topics: Elasticity (economics) & Rotary inertia.read more
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Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes
TL;DR: In this article, the mechanical buckling of a functionally graded nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes (SWCNTs) subjected to uniaxial and baoxial in-plane loadings is investigated.
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∞6 Mixed plate theories based on the Generalized Unified Formulation. Part I: Governing equations
TL;DR: The generalized unified formulation (GUF) as mentioned in this paper is a formal technique which was introduced in the framework of displacement-based theories and has been extended for the first time to the case in which a mixed variational statement is used.
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Identification of material properties of composite plate specimens
TL;DR: In this paper, an indirect identification technique to predict the mechanical properties of composite plate specimens is presented, which makes use of experimental eigenfrequencies, the corresponding numerical eigenvalue evaluation, sensitivity analysis and optimization.
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A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets:
Aicha Bessaim,Aicha Bessaim,M.S.A. Houari,M.S.A. Houari,Abdelouahed Tounsi,S. R. Mahmoud,El Abbes Adda Bedia +6 more
TL;DR: In this article, a higher-order shear and normal deformation theory for the bending and free vibration analysis of sandwich plates with functionally graded isotropic face sheets is developed, which accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor.
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An improved treatment of transverse shear in the mindlin-type four-node quadrilateral element
TL;DR: In this paper, an improved displacement methodology based on Mindlin theory is developed and applied to a four-node, twelve degrees-of-freedom quadrilateral element, with special attention directed toward enhancement of the transverse shear energy representation.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
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LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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X. On the transverse vibrations of bars of uniform cross-section
TL;DR: In this article, the transverse vibrations of bars of uniform cross-section were studied and the authors proposed a method to measure the transversal vibrations of a bar of uniform shape.
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Über die Berücksichtigung der Schubverzerrung in ebenen Platten
TL;DR: Ausgehend von einem kinematischen Schema wird eine Methode entwickelt, welche es moglich macht, den Anschlus der technischen Festigkeitslehre an die mathematische Elastizitatstheorie zu bewerkstelligen.