Analytical solution for buckling of embedded laminated plates based on higher order shear deformation plate theory

Baseri, Vahid; Jafari, Gholamreza Soleimani; Kolahchi, Reza

doi:10.12989/scs.2016.21.4.883

Cited by 21 publications

(5 citation statements)

References 38 publications

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“…7and FEM in Eqs. (10) and (16), the following formulation can be obtained based on the Green-Lagrange nonlinear strain and displacement relations (see Carrera et al [55]):…”

Section: Linearized Buckling Equationsmentioning

confidence: 99%

“…Several investigations based on numerical models [3,11,12] and experimental tests [13] demonstrated the advantages of VAT panels in preventing buckling. Moreover, the analysis of VAT structures has not been limited to simple problems but has dealt with various cases such as composite cylinders [14,15], thin plates and thinwalled structures [16,17,18], for improving first ply failure modes [19], and simply supported rectangular plates under non-uniform uniaxial compression [20]. In addition, the introduction of VAT composites can improve the buckling and postbuckling load-carrying capacity under in-plane positive and negative shear loading [21].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

Fallahi

Viglietti²,

Carrera

et al. 2020

FU Mech Eng

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In this work, the effect of the fiber orientation on the mechanical response of variable angle tow (VAT) panels is investigated. A computationally efficient high-order one-dimensional model, derived under the framework of the Carrera unified formulation (CUF), is used. In detail, a layerwise approach is adopted to predict the complex phenomena that may appear in VAT panels. Static, free-vibration and buckling analyses are performed, considering several material properties, geometries, and boundary conditions, and the results are assessed with those obtained using existing approaches. Considering the findings of the comparative analysis, several best design practices are suggested to improve the mechanical performances of VAT panels.

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“…7and FEM in Eqs. (10) and (16), the following formulation can be obtained based on the Green-Lagrange nonlinear strain and displacement relations (see Carrera et al [55]):…”

Section: Linearized Buckling Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

Fallahi

Viglietti²,

Carrera

et al. 2020

FU Mech Eng

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“…Therefore, high-order beam theory and shear deformation plate theory are very significant for such type of structures. Wave vibration analysis based on shear deformation theory in the functionally graded piezoelectric nanoplates or bars are discussed by some authors (Arani et al, 2015, 2016; Arani and Kolahchi, 2016; Baseri et al, 2016; Kolahchi, 2017; Kolahchi and Bidgoli, 2016; Kolahchi et al, 2016a, 2016b, 2017a, 2017b; Safari et al, 2016). SH wave propagation through different piezoelectric plates (viz.…”

Section: Introductionmentioning

confidence: 99%

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

Singh

Sahu

Singhal

et al. 2018

Journal of Intelligent Material Systems and Structures

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In mathematical physics, the Wentzel–Kramers–Brillouin approximation or Wentzel–Kramers–Brillouin method is a technique for finding approximate solutions to linear differential equations with spatially varying coefficients. An attempt has been made to approximate the velocity of surface seismic wave in a piezo-composite structure. In particular, this article studies the dispersion behaviour of Love-type seismic waves in functionally graded piezoelectric material layer bonded between initially stressed piezoelectric layer and pre-stressed piezoelectric half-space. In functionally graded piezoelectric material stratum, theoretical derivations are obtained by the Wentzel–Kramers–Brillouin method where variations in material gradient are taken exponentially. In the upper layer and lower half-space, the displacement components are obtained by employing separation of variables method. Dispersion equations are obtained for both electrically open and short cases. Numerical example and graphical manifestation have been provided to illustrate the effect of influencing parameters on the phase velocity of considered surface wave. Obtained relation has been deduced to some existing results, as particular case of this study. Variation in cut-off frequency and group velocity against the wave number are shown graphically. This study provides a theoretical basis and practical utilization for the development and construction of surface acoustics wave devices.

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“…Kolahchi and his co-workers have studied the nonlinear buckling, bending, nonlinear dynamic stability, and nonlinear transverse vibration of nano-FG plate, nano-composite plate, nano-sandwich plates, and piezoelectric plate reinforced with single walled carbon nanotubes, respectively [37–44].…”

Section: Introductionmentioning

confidence: 99%

A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations

Mahmoudi¹,

Benyoucef²,

Tounsi³

et al. 2017

Jnl of Sandwich Structures & Materials

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In this paper, a refined quasi-three-dimensional shear deformation theory for thermo-mechanical analysis of functionally graded sandwich plates resting on a two-parameter (Pasternak model) elastic foundation is developed. Unlike the other higher-order theories the number of unknowns and governing equations of the present theory is only four against six or more unknown displacement functions used in the corresponding ones. Furthermore, this theory takes into account the stretching effect due to its quasi-three-dimensional nature. The boundary conditions in the top and bottoms surfaces of the sandwich functionally graded plate are satisfied and no correction factor is required. Various types of functionally graded material sandwich plates are considered. The governing equations and boundary conditions are derived using the principle of virtual displacements. Numerical examples, selected from the literature, are illustrated. A good agreement is obtained between numerical results of the refined theory and the reference solutions. A parametric study is presented to examine the effect of the material gradation and elastic foundation on the deflections and stresses of functionally graded sandwich plate resting on elastic foundation subjected to thermo-mechanical loading.

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Analytical solution for buckling of embedded laminated plates based on higher order shear deformation plate theory

Cited by 21 publications

References 38 publications

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations

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