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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Analytical solution of a two variable refined plate theory for bending analysis of orthotropic Levy-type plates
Huu-Tai Thai,Seung-Eock Kim +1 more
TL;DR: In this article, a two-variable refined plate theory was proposed to account for parabolic variation of transverse shear stress through the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factor.
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Elastic/plastic buckling of thick plates
TL;DR: In this article, the authors considered the elastic/plastic buckling of thick plates of rectangular and circular shapes and derived elastic and plastic stability criteria for uniaxially and equibiaxially loaded rectangular plates with two opposite edges simply supported.
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Scattering of plate waves by a cylindrical inhomogeneity
TL;DR: In this paper, a theoretical and experimental investigation of the scattering behavior of extensional and flexural plate waves by a cylindrical inhomogeneity is presented, where exact solutions are obtained by using wave function expansion method, while the Born first approximation has been employed to derive explicit solutions that form the basis for efficient parametric inversion and eigenfunction back-propagation.
Refinement of Timoshenko Beam Theory for Composite and Sandwich Beams Using Zigzag Kinematics
TL;DR: In this article, a variationally consistent theory for laminated-composite and sandwich beams that contains the kinematics of the Timoshenko Beam Theory as a proper baseline subset is presented, and employs a piecewise linear zigzag function that provides a more realistic representation of the deformation states of transverse shear flexible beams than other similar theories.
References
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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.