A higher order shear deformation model of a periodically sectioned plate

2017 ◽  
Vol 141 (5) ◽  
pp. 3746-3746
Author(s):  
Andrew J. Hull
Keyword(s):  
Shear Deformation ◽  
Higher Order ◽  
Deformation Model

A new higher order shear deformation model for functionally graded beams

2015 ◽  
Vol 20 (5) ◽  
pp. 1835-1841 ◽  
Author(s):  
Lazreg Hadji ◽  
Zoubida Khelifa ◽  
Adda Bedia El Abbes
Keyword(s):  
Shear Deformation ◽  
Higher Order ◽  
Functionally Graded ◽  
Deformation Model

A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

2013 ◽  
Vol 5 (03) ◽  
pp. 351-364 ◽  
Author(s):  
Tahar Hassaine Daouadji ◽  
Abdelouahed Tounsi ◽  
El Abbes Adda Bedia
Keyword(s):  
Shear Stress ◽  
Shear Deformation ◽  
Transverse Shear ◽  
Volume Fraction ◽  
Higher Order ◽  
Functionally Graded ◽  
Shear Stresses ◽  
Deformation Model ◽  
Functionally Graded Plates ◽  
Static Behavior

AbstractIn this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Numerical illustrations concerned flexural behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

A New Higher Order Shear Deformation Model of Functionally Graded Beams Based on Neutral Surface Position

2015 ◽  
Vol 69 (3) ◽  
pp. 683-691 ◽  
Author(s):  
Khelifa Zoubida ◽  
Tahar Hassaine Daouadji ◽  
Lazreg Hadji ◽  
Abdelouahed Tounsi ◽  
Adda Bedia El Abbes
Keyword(s):  
Shear Deformation ◽  
Higher Order ◽  
Functionally Graded ◽  
Deformation Model ◽  
Neutral Surface ◽  
Neutral Surface Position

A Higher-Order Shear Deformation Model of a Periodically Sectioned Plate

2016 ◽  
Vol 138 (5) ◽  
Author(s):  
Andrew J. Hull
Keyword(s):  
Wave Propagation ◽  
Shear Deformation ◽  
Structural Properties ◽  
Displacement Field ◽  
Plate Theory ◽  
Constant Term ◽  
Higher Order ◽  
Deformation Model ◽  
Transverse Displacement ◽  
Periodic Analysis

This paper develops a higher-order shear deformation model of a periodically sectioned plate. A parabolic deformation expression is used with periodic analysis methods to calculate the displacement field as a function of plate spatial location. The problem is formulated by writing the transverse displacement field and the in-plane rotations as a series solution of unknown wave propagation coefficients multiplied by an exponential indexed wavenumber term in the direction of varying structural properties multiplied by an exponential constant term in the direction of constant structural properties. These expansions, along with various structural properties written using Fourier summations, are inserted into the governing differential equations that were derived using Hamilton's principle. The equations are now algebraic expressions that can be orthogonalized and written in a global matrix format whose solution is the wave propagation coefficients, thus yielding the transverse and in-plane displacements of the system. This new model is validated with finite-element theory and Kirchhoff plate theory for a thin plate simulation and verified with comparison to experimental results for a 0.0191 m thick sectional plate.

A New Nonlinear Higher-Order Shear Deformation Theory for Nonlinear Vibrations of Laminated Shells

2010 ◽  
Author(s):  
M. Amabili ◽  
J. N. Reddy
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Nonlinear Vibrations ◽  
Circular Cylindrical Shell ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Curvilinear Coordinates ◽  
Geometrically Nonlinear ◽  
Geometric Imperfections ◽  
Laminated Shells

A consistent higher-order shear deformation nonlinear theory is developed for shells of generic shape; taking geometric imperfections into account. The geometrically nonlinear strain-displacement relationships are derived retaining full nonlinear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only nonlinear terms of the von Ka´rma´n type. Results show that inaccurate results are obtained by keeping only nonlinear terms of the von Ka´rma´n type for vibration amplitudes of about two times the shell thickness for the studied case.

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