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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.
openaire   +2 more sources

IMPROVED TRANSVERSE SHEAR STRESSES IN COMPOSITE FINITE ELEMENTS BASED ON FIRST ORDER SHEAR DEFORMATION THEORY

International Journal for Numerical Methods in Engineering, 1997
A method for calculating improved transverse shear stresses in laminated composite plates, which bases on the first-order shear deformation theory is developed. In contrast to many recently established methods, either higher-order lamination theories or layerwise theories, it is easily applicable to finite elements, since only C0-continuity is ...
Rolfes, R., Rohwer. K.,
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On a consistent first-order shear-deformation theory for laminated plates

Composites Part B: Engineering, 1997
Abstract This paper systematically states the consistent first-order shear-deformation theory for laminated plates recently proposed by Qi and Knight. It assumes that only in an average sense does a straight line originally normal to the midplane remain straight and rotate relative to the normal of the midplane, and in a local sense a slight ...
Norman F. Knight, Yunqian Qi
openaire   +1 more source

Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory

Journal of Intelligent Materials Systems and Structures, 2019
This article investigates geometrically nonlinear and linear analysis of multilayered shells with integrated piezoelectric materials. An efficient nonlinear shell element is developed to solve piezoelastic response of laminated structure with embedded ...
H. Mallek, H. Jrad, M. Wali, F. Dammak
semanticscholar   +1 more source

Vibration analysis of twisted plates using first order shear deformation theory

Journal of Sound and Vibration, 2004
Abstract Based on general shell theory and the first order shear deformation theory, an accurate relationship between strains and displacements of a twisted plate is derived by the Green strain tensor. An equation of equilibrium for free vibration is given by the principle of virtual work and the governing equation is solved by using the Rayleigh ...
X.X. Hu   +4 more
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Buckling analysis of nanocomposite sandwich plates with piezoelectric face sheets based on flexoelectricity and first-order shear deformation theory

Journal of Sandwich Structures and Materials, 2018
In piezoelectric materials and at the nano-scale, there is a coupling between electrical polarization and strain gradients fields, which is called flexoelectricity. The effects of this phenomenon seem to be negligible in micro/macro scales.
S. Amir   +2 more
semanticscholar   +1 more source

A simple first-order shear deformation theory for laminated composite plates

Composite Structures, 2013
Abstract In this paper, a simple first-order shear deformation theory is presented for laminated composite plates. Unlike the existing first-order shear deformation theory, the present one contains only four unknowns and has strong similarities with the classical plate theory in many aspects such as equations of motion, boundary conditions, and ...
Huu-Tai Thai, Dong-Ho Choi
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Dynamic Stiffness Formulation for Plates Using First Order Shear Deformation Theory

51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 18th AIAA/ASME/AHS Adaptive Structures Conference<BR> 12th, 2010
The dynamic stiffness method for plates is developed to carry out an exact free vibration analysis by using both classical theory and first order shear deformation theory. Hamiltonian mechanics is used to provide a systematic general procedure for the development of the method.
Marco Boscolo, Ranjan Banerjee
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A novel first-order shear deformation theory for laminated composite plates

Steel and Composite Structures, 2014
In the present study, a new simple first-order shear deformation theory is presented for laminated composite plates. Moreover, the number of unknowns of this theory is the least one comparing with the traditional first-order and the other higher-order shear deformation theories.
Mohamed Sadoune   +3 more
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Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

Journal of Applied Mechanics, 2005
A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness.
Jun-Sik Kim, Maenghyo Cho
openaire   +1 more source

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