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A refined theory for thick composite plates

Mechanics Research Communications, 1988
The present theory uses a displacement approach, as in the Reddy theory [\textit{J. N. Reddy}, J. Appl. Mech. 51, 745-752 (1984; Zbl 0549.73062)]. However, the displacement field form is dictated by the satisfaction of one condition: that is, the transverse shear stresses have to vanish on the plate surfaces and be nonzero elsewhere as in the Reddy ...
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Plate Theory Model for Thickness Tapered Composite Laminates

Journal of Reinforced Plastics and Composites, 2001
The influence of induced interlaminar loads on the structural performance of thickness-tapered laminates is investigated using an energy-based damage tolerance methodology. An analytical model based on the assumptions of shear deformation plate theory is presented.
Bruce R. Trethewey, John W. Gillespie
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On the theory of optimal, constant thickness, fibre-reinforced plates

International Journal of Mechanical Sciences, 1972
Abstract In the earlier papers in this series optimal fibre layouts have been given for a variety of domain shapes and boundary conditions. The general feature which most of these layouts possess is that the reinforcement fibres are parallel to one another within the various zones.
P.G. Lowe, R.E. Melchers
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Thick/Thin Plates. Reissner-Mindlin Theory

2013
Kirchhoff plate elements studied in the previous chapter are restricted to thin plate situations only (thickness/average side ≤ 0.10). Also the C 1 continuity requirement for Kirchhoff elements poses severe difficulties for deriving a conforming deflection field.
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Thick plate theory based on general solutions of elasticity

Acta Mechanica, 1997
Within this paper, by means of Papkovich-Neuber solution of elasticity, a new thick plate theory is derived which shows some difference to Reissner's plate theory. In doing so, representations of displacement components and stress components are given in terms of three generalized displacements.
Wang, W., Shi, M. X.
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Spline finite strip method incorporating different plate theories for thick piezoelectric composite plates

Smart Structures and Systems, 2009
In the present analysis, the spline finite strip with higher-order shear deformation is formulated for the static analysis of piezoelectric composite plates. The proposed method incorporates Reddy`s third-order shear deformation theory, Touratier`s "Sine" model, Afaq`s exponential model, Cho`s higher-order zigzag laminate theory, as well as the classic
G. Akhras, W.C. Li
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A refined theory of elastic thick plates for extensional deformation

Archive of Applied Mechanics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Yang, Zhao, Baosheng
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A new approach to plate theory based on through‐thickness homogenization

International Journal for Numerical Methods in Engineering, 2010
AbstractA new approach to linear plate theory for layered structures is introduced. The new theory distances itself from the classical strategy where through the thickness displacement functions are assumed a priori. Instead, the homogenization is based on a single assumption that the plate response is a superposition of fundamental states.
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An Improved Theory Of Plates Of Variable Thickness.

1957
PhD ; Mechanics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/181839/2/5800908 ...
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A full bending gradient theory for thick plates

2010
Since the wide acceptation of Reissner-Mindlin plate theory, the derivation of a constitutive equation for the transverse shear behavior of heterogenous plates has risen many difficulties. A first proposal for laminates was to take the average of transverse shear stiffness as constitutive equation.
Lebée, Arthur, Sab, Karam
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