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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Forced Thickness-Shear and Flexural Vibrations of Piezoelectric Crystal Plates
TL;DR: In this paper, an approximate theory for the vibrations of piezoelectric crystal plates in thickness-shear and flexural modes, including the interaction between the elastic and electric fields, is given.
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On the linear theory of micropolar plates
TL;DR: In this paper, the authors considered the plate as a deformable surface and derived the effective stiffness tensors appearing in the two-dimensional constitutive equations of a micropolar material.
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An Overall View of Laminate Theories Based on Displacement Hypothesis
Dahsin Liu,Xiaoyu Li +1 more
TL;DR: In this paper, a generalized polynominal form is used to unify the displacement hypothesis and a series of Quasi-layerwise Theories are presented, and a compromising theory, the generalized Zigzag theory, is presented.
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Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position
Hichem Bellifa,Kouider Halim Benrahou,Lazreg Hadji,Mohammed Sid Ahmed Houari,Abdelouahed Tounsi +4 more
TL;DR: In this article, a new first-order shear deformation theory is developed for bending and dynamic behaviors of functionally graded plates, and the number of unknowns of this theory is the least one comparing with the traditional firstorder and the other higher order deformation theories.
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A Simple Finite Element Formulation of a Higher-order Theory for Unsymmetrically Laminated Composite Plates
Tarun Kant,B.N. Pandya +1 more
TL;DR: In this paper, a higher-order theory which satisfies zero transverse shear stress conditions on the bounding planes of a generally laminated fiber-reinforced composite plate subjected to transverse loads is developed.
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.
Journal ArticleDOI
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.