Bending of cross-ply laminated plates resting on elastic foundations under thermo-mechanical loading

Zenkour, Ashraf M.; Allam, M. N. M.; Radwan, Ahmed F.

doi:10.1007/s10999-012-9212-8

Cited by 48 publications

(21 citation statements)

References 23 publications

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“…The thermal expansion coefficients for the kth layer in the laminated reference coordinate is expressed as [8]: α k x = α L cos 2 θ + α T sin 2 θ, α k y = α L sin 2 θ + α T cos 2 θ , in which θ(θ = 0 • or θ = 90 • ) is the lamination angle between the principal fiber direction and the x-axis of the individual layer. The results of references [34,35] are rigorously analyzed. It is found that the thermal expansion coefficients for the kth layer are set as α k x = α L , α k y = α T for θ = 0 • and 90 • , which might be a mistake out of carelessness.…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…It is found that the thermal expansion coefficients for the kth layer are set as α k x = α L , α k y = α T for θ = 0 • and 90 • , which might be a mistake out of carelessness. Accordingly, the results of references [34,35] are re-computed in this paper using the corrected hygrothermal expansion coefficients α k x , α k y , β k x and β k y . Table 3 Displacement and stresses of four-ply composite square plates subjected to hygrothermal effects (q 0 = 0, Transverse displacements of three-ply rectangular plates resting on elastic foundation and subjected to thermal loading (T 1 = 100 • C) are presented in Table 1.…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

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Effects of hygro-thermo-mechanical loading on composite plate resting on elastic foundation

Wang

Ren

2015

Arch Appl Mech

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The plate resting on the elastic foundation is an issue of mutual action between two media. The elastic foundation has important impact on static response of composite plates, while accurate prediction on transverse shear stresses of laminated composite plates resting on elastic foundation and subjected to hygrothermo-mechanical effects is scare in literature. To fill this gap, this paper proposes a higher-order global-local model (HGLM) satisfying the continuity conditions of transverse shear stresses at interfaces. Based on the model HGLM, analytical solution for the governing differential equations of the simply supported composite plate subjected to mechanical loading, temperature and moisture concentrations is developed by employing Navier's technique followed by the procedure of the separation of variables. Comparing the present results with the available elasticity solutions, it is found that the proposed model HGLM can produce promising transverse shear stresses directly from constitutive equations. Based on the model HGLM, the elastic foundation parameters, stacking sequence and thermal expansion coefficients did have significant effects on the hygrothermo-elastic response of composite plates. However, the other models lose capacity to simulate the effects of the elastic foundation parameters on displacements and stresses for hygrothermal expansion of composite plates.

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Section: Numerical Examples and Discussionmentioning

confidence: 99%

Section: Numerical Examples and Discussionmentioning

confidence: 99%

Effects of hygro-thermo-mechanical loading on composite plate resting on elastic foundation

Wang

Ren

2015

Arch Appl Mech

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“…Shen (2011) analyzed postbuckling, nonlinear bending and nonlinear vibration analysis of thin film resting on elastic foundation in thermal environments. Zenkour et al(2013) investigated the bending response of an orthotropic rectangular plate resting on two-parameter elastic foundations under thermomechanical loadings. proposed a new efficient global-local higher-order model for the thermoelastic analysis of laminated composite and sandwich plates.…”

Section: Afyon Kocatepe üNiversitesi Fen Ve Mühendislik Bilimleri Dermentioning

confidence: 99%

Nonlinear Vibration Analysis of Composite Plates on Elastic Foundations in Thermal Environments

Küçükrendeci¹

2017

AKU-J. Sci. Eng.

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Nonlinear vibrations of composite plates on an elastic foundation in thermal environments are presented in this study. Graphite/epoxy is selected as the plate material. The properties of composite material are assumed to be temperature-dependent. Nonlinear free vibrations of laminated composite plates are investigated in the fully clamped boundary conditions. The classical finite element method is used and a specially prepared computer code is written in the Matlab software. Vibrations of the spring supported laminated composite plate are directly influenced by the boundary conditions and dimensions of plate.In this study, generated graphical values reveal that foundation stiffness and temperature have significant effects on the linear and nonlinear frequencies of composite plates.

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“…Extensive studies about elastic or viscoelastic foundations can be found in the literature. [42][43][44][45][46][47][48][49][50][51] In this article, bending, buckling, and vibration behaviors of viscoelastic FG curved nanobeam embedded in an elastic medium are investigated based on nonlocal strain gradient theory. For the viscoelastic FG curved nanobeam, the material properties are graded in radial direction using two power-law forms.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal strain gradient theory for bending, buckling, and vibration of viscoelastic functionally graded curved nanobeam embedded in an elastic medium

Allam

Radwan

2019

Advances in Mechanical Engineering

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This article investigates bending, buckling, and vibration analysis in viscoelastic functionally graded curved nanobeam embedded in an elastic medium under different boundary conditions. The stresses can be calculated based on not only the nonlocal stress field but also the strain gradient stress field according to the nonlocal strain gradient elasticity theory. The present higher order refined curved nanobeam theory which captures shear deformation influence does not need any shear correction factors. Two power-law models are used to describe the continuous variation of material properties of viscoelastic functionally graded curved nanobeam. Governing equations of nonlocal strain gradient viscoelastic functionally graded curved nanobeam are obtained using Hamilton's principle. To establish the present model, the results are compared with those of functionally graded curved nanobeams. The effects of nonlocal parameter, length scale parameter, viscoelastic damping coefficient, spring stiffness, boundary conditions, and power-law exponent on the bending, buckling, and vibration responses of viscoelastic functionally graded curved nanobeam are discussed.

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Bending of cross-ply laminated plates resting on elastic foundations under thermo-mechanical loading

Cited by 48 publications

References 23 publications

Effects of hygro-thermo-mechanical loading on composite plate resting on elastic foundation

Effects of hygro-thermo-mechanical loading on composite plate resting on elastic foundation

Nonlinear Vibration Analysis of Composite Plates on Elastic Foundations in Thermal Environments

Nonlocal strain gradient theory for bending, buckling, and vibration of viscoelastic functionally graded curved nanobeam embedded in an elastic medium

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