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On the Generalization of Reissner Plate Theory to Laminated Plates, Part I: Theory

Journal of Elasticity, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lebée, Arthur, Sab, Karam
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Theory and refined theory of elasticity for transversely isotropic plates and a new theory for tnick plates

Applied Mathematics and Mechanics, 1988
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Zhong, Zhenghua, Luo, Jianhui
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A General Refined Plate Theory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000
AbstractStarting from the principle of virtual displacements, a plate theory is formulated which includes most classical and refined plate theories as special cases. The force and moment equilibrium and the correct formulation of the boundary conditions is obtained by introducing a certain virtual displacement field, and it w shown that generalized ...
Meenen, Johannes, Altenbach, Holm
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On the theory of berger plates

Journal of Applied Mathematics and Mechanics, 1983
Abstract It is shown that the Berger equations can be obtained on the basis of a sequential asymptotic procedure. M. Berger /1/ proposed simple approximate nonlinear equations for rectangular and circular plates. The results of /1/ were later extended to orthotropic plates /2/, membranes /3,4/, shallow spherical /4–8/ and cylindrical /8–10/ shells ...
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MICROPOLAR AND DIRECTOR THEORIES OF PLATES

The Quarterly Journal of Mechanics and Applied Mathematics, 1967
Abstract : After discussing the relationship between general theories based on dipolar displacement and micropolar displacement and the relations of these to a theory with a simple dipolar displacement (i.e., full displacement gradient), the remainder of the paper is concerned with linear theories of elastic plates in the presence of micropolar and ...
Green, A. E., Naghdi, P. M.
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Buckling of Circular Plates Based on Reddy Plate Theory

ASME 1997 Turbo Asia Conference, 1997
Treated herein is the elastic buckling of circular plates based on the Reddy plate theory. This plate theroy extends the Kirchhoff (or the classical thin) plate theory to allow for the effect of transverse shear deformation. Unlike the Mindlin’s shear deformation plate theory, there is no need for a shear correction factor in the Reddy plate theory. In
Wang, C. M., Lee, K. H., Reddy, J. N.
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Theory of Laminated Plates

Journal of Applied Mechanics, 1971
A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented.
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A Theory of Chiral Cosserat Elastic Plates

Journal of Elasticity, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE CICCO, SIMONA, D. Iesan
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Elasticity Theory of Plates and a Refined Theory

Journal of Applied Mechanics, 1979
A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
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The Exact Theory of Plate Bending

Journal of Elasticity, 2002
Summary: We introduce an approach for the analysis and computation of homogeneous isotropic elastic plates subjected to bending loads. This approach is based on a partitioning (which is independent of thickness) of three-dimensional reference solution into a part with large variation length, and a part with localized ects, whose generalized stress ...
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