A Refined Sine Finite Element with Transverse Normal Stress for Thermoelastic Analysis of Laminated Composite in Cylindrical Bending

Vidal, Philippe; Polit, O.

doi:10.1080/01495739.2011.608312

Cited by 3 publications

(1 citation statement)

References 44 publications

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“…Effect of transverse normal on thermoelastic bending analysis of laminated composite plates under cylindrical bending using a finite element model is presented by Vidal and Polit [42]. Mechab et al [43] developed a new trigonometric shear deformation theory for the thermo-mechanical analysis of laminated composite plates.…”

Section: Introductionmentioning

confidence: 99%

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

Sayyad

Ghugal²,

Mhaske

2015

Journal of Thermal Stresses

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In this article, the thermoelastic bending analysis of laminated composite plates subjected to thermal load linear across the thickness using the four variable refined plate theory is presented. The theory involves four unknown variables, as against five in case of other higher-order theories and first-order shear deformation theory. The theory gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free conditions at top and bottom surfaces of the plate. The theory does not require problem-dependent shear correction factors that are associated with the first-order shear deformation theory. The principle of virtual work is used to obtain variationally consistent governing equations and boundary conditions. The simply supported laminated composite plates are considered for the detail numerical study. A closed-form solution is obtained using the double trigonometric series technique suggested by Navier. The numerical results for thermal displacements and stresses of laminated composite plates are obtained and compared with those of other refined theories and exact solutions wherever applicable to assess the efficiency of the present theory. From the numerical results it is observed that since plate is subjected to pure thermal load and not subjected to transverse mechanical load, the present theory has strong similarity with classical plate theory in many aspects.

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Section: Introductionmentioning

confidence: 99%

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

Sayyad

Ghugal²,

Mhaske

2015

Journal of Thermal Stresses

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Thermal Stress Analysis of Homogeneous and Laminated Shells by Finite Element Method

Polit¹,

D′Ottavio²,

Vidal³

2014

Encyclopedia of Thermal Stresses

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Modeling of composite plates based on Reissner's Mixed Variational Theorem with variables separation

Vidal¹,

Gallimard²,

Polit³

2016

Composites Part B: Engineering

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a b s t r a c tIn this work, the modeling of laminated composite plates is performed through a variables separation approach based on a Reissner's Variational Mixed Theorem (RMVT). Both the displacement and transverse stress fields are approximated as a sum of separated functions of the in-plane coordinates x,y and the transverse coordinate z. This choice yields to a non-linear problem that can be solved by an iterative process. That consists of solving a 2D and 1D problem successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element method is used.Numerical examples involving several representative laminates are addressed to show the accuracy of the present LayerWise (LW) method. It is shown that it can provide quasi-3D results less costly than classical LW computations. In particular, the estimation of the transverse stresses which are of major importance for damage analysis is very good.

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A Refined Sine Finite Element with Transverse Normal Stress for Thermoelastic Analysis of Laminated Composite in Cylindrical Bending

Cited by 3 publications

References 44 publications

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

A Four-Variable Plate Theory for Thermoelastic Bending Analysis of Laminated Composite Plates

Thermal Stress Analysis of Homogeneous and Laminated Shells by Finite Element Method

Modeling of composite plates based on Reissner's Mixed Variational Theorem with variables separation

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