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A Refined Shear Deformation Theory of Bending of Isotropic Plates*

Mechanics of Structures and Machines, 1994
ABSTRACT A nonlinear, in-plane displacement assumption is proposed, based on an undetermined variation df/dz of transverse shear strains through the plate thickness. A second-order ordinary differential equation for f(z) and two surface conditions, as well as a set of eighth-order partial differential equations and four associated boundary conditions ...
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Refined First-Order Shear Deformation Theory Models for Composite Laminates

Journal of Applied Mechanics, 2003
In the present work, new mixed variational formulations for a first-order shear deformation laminate theory are proposed. The out-of-plane stresses are considered as primary variables of the problem. In particular, the shear stress profile is represented either by independent piecewise quadratic functions in the thickness or by satisfying the three ...
AURICCHIO, FERDINANDO, SACCO E.
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A family of shear-deformation beam theories and a refined Bernoulli-Euler theory

International Journal of Engineering Science, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the refined first-order shear deformation plate theory of Kármán type

Applied Mathematics and Mechanics, 2000
A large deflection theory for laminated plates is set up taking into account transverse shear rotations. Each shear strain component is assumed to depend on the corresponding shear force only, and the shear correction factors are set equal for both directions.
Zhang, Jianwu, Li, Qi, Shu, Yongping
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A refined nonlinear theory of plates with transverse shear deformation

International Journal of Solids and Structures, 1984
A higher-order shear deformation theory of plates accounting for the von Kármán strains is presented. The theory contains the same dependent unknowns as in the Hencky-Mindlin type first-order shear deformation theory and accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
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A refined theory of laminated shells with higher-order transverse shear deformation

International Journal of Solids and Structures, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometrically Nonlinear Study of Functionally Graded Saturated Porous Plates Based on Refined Shear Deformation Plate Theory and Biot’s Theory

International Journal of Structural Stability and Dynamics, 2022
This research presents the geometrically nonlinear investigation of functionally graded saturated porous material (FGSPM) plate under undrained conditions. In conjunction with von Karman’s nonlinearity, the refined shear deformation plate theory (RSDPT) is implemented to model the FGSPM plate.
H. S. Naveen Kumar   +4 more
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Static Analysis of Laminated Shells Using a Refined Shear Deformation Theory

Journal of Reinforced Plastics and Composites, 1995
In this paper the refinement of a previously published discrete-layer shear deformation laminated shell theory by the assumption that the transverse shear strains across any two layers are linearly dependent on each other is briefly described. The theory contains the same dependent variables as first-order shear deformation theory, but the set of ...
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A refined exponential shear deformation theory for free vibration of FGM beam with porosities

Geomechanics and Engineering, 2015
In this paper, a refined exponential shear deformation theory for free vibration analysis of functionally graded beam with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose, a new displacement field based on refined shear deformation theory is implemented.
Lazreg Hadji   +2 more
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Refined Mindlin–Reissner theory of forced vibrations of shear deformable plates

Engineering Structures, 2011
Two theories of shear deformable plate vibrations that account for the influence of the transverse normal stress component are derived. The first is a slightly modified Mindlin theory, including a shear correction factor, while in the second the use of the shear correction factor is replaced by stress components that exactly satisfy elasticity motion ...
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