A variational asymptotic approach for hygrothermal analysis of composite laminates

Yifeng, Zhong; Yu, Wenbin

doi:10.1016/j.compstruct.2011.06.003

Cited by 28 publications

(7 citation statements)

References 15 publications

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“…Sereira et al [6] have presented a hygrothermal analysis of the hybrid composites under the effect of the cyclic environmental conditions by the finite element method. Yifeng and Yu [7] have constructed a hygrothermal elastic model for analyzing composite laminates under both mechanical and hygrothermal loadings by a variational asymptotic method. Upadhyay et al [8] have presented an analytical solution of nonlinear flexural response of elastically supported cross-ply and angle-ply laminated composite plates under hygrothermal environment.…”

Section: Introductionmentioning

confidence: 99%

Bending of symmetric cross-ply multilayered plates in hygrothermal environments

Zenkour¹,

Alghanmi²

2016

Math. models, eng.

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The bending analysis of symmetric cross-ply laminated plates in a hygrothermal environment is presented. The sinusoidal shear deformation plate theory is used for this purpose. It enables the trial and testing of different through-the-thickness transverse shear-deformation distributions and, among them, strain distributions that do not involve the undesirable implications of the transverse shear correction factors. The governing differential equations for the bending of laminated plates are obtained using various plate theories. Displacement functions that identically satisfy boundary conditions are used to reduce the governing equations to a set of coupled ordinary differential equations with variable coefficients. Numerical results for deflection and stresses are presented. The effect of different types of sinusoidal hygrothermal/thermal loadings is investigated. The influence various parameters such as material anisotropy, aspect ratio, side-to-thickness ratio, thermal expansion coefficients ratio and stacking sequence on the hygrothermally induced response is also investigated. A concluding remark is made.

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Section: Introductionmentioning

confidence: 99%

Bending of symmetric cross-ply multilayered plates in hygrothermal environments

Zenkour¹,

Alghanmi²

2016

Math. models, eng.

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“…Nosier and Miri [28] used combination of equivalent single layer and layer-wise shell theories and studied the free-edge effects in laminated cylindrical panels subjected to hygrothermal loading condition. Yifeng and Yu [29] used the variational asymptotic method and introduced a hygrothermal model for analyzing composite laminates. Mahadev and Chan [30] developed a simple closed-form analytical solution to evaluate equivalent bending and axial stiffness to investigate the longitudinal stress distribution of thin-walled fiber reinforced laminated composite tubes subjected to hygrothermal environment.…”

Section: Introductionmentioning

confidence: 99%

Edge stresses analysis in laminated thick sandwich cylinder subjected to distributed hygrothermal loading

Ahmadi

2016

Jnl of Sandwich Structures & Materials

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The boundary layer hygrothermal stresses in the thick sandwich cylinder with laminated face are investigated. Uniform and through the thickness steady-state distribution for temperature and moisture content can be considered in the analysis. A displacement based layer-wise formulation is presented for analysis of thick sandwich composite cylinders subjected to hygrothermal loading conditions. Considering a general displacement field and employing a displacement based layer-wise theory, the governing equations of thick laminated sandwich cylinder are obtained. The displacement based formulation is derived for thick sandwich cylinder, which is subjected to non-uniform hygrothermal loading conditions. The faces of the sandwich cylinder are made of laminated composite with general layer stacking. The governing equations of the system include a set of coupled differential equations on the displacement components of the numerical surfaces. A semi-analytical solution is developed and the governing equations are solved for free edge boundary conditions. The accuracy of the numerical results is validated by the results of the finite element simulation and good agreements are seen between the predicted results. The free edge interlaminar stresses distributions are presented for thin and thick sandwich composite cylinders for uniform and non-uniform loading conditions. It is concluded that the presented layer-wise formulation is efficient and accurate method for analysis of thermal and hygroscopic stresses in thick and thin sandwich cylinders with general layer stacking.

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“…A general stress analysis has been developed in Sayman [21] for thick and thin multi-layered composite cylinders under hygrothermal loadings, uniform and parabolic temperature distributions have been chosen for the thermal loads and analytical solutions have been compared with the finite element solutions. A hygrothermal model for analyzing composite laminates under both mechanical and hygrothermal loadings has been constructed by the variational asymptotic method in Yifeng and Yu [22] where the results have been compared with the exact hygrothermal solutions, classical lamination theory and first-order shear-deformation theory in order to assess the capability of the method proposed. Hygrothermal cycles are known to cause degradation of composite materials due to moisture uptake and thermal expansion.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermoelastic analysis of multilayered composite and sandwich shells

Brischetto

2013

Jnl of Sandwich Structures & Materials

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Refined two-dimensional models are proposed for the static hygrothermoleastic analysis of multilayered composite and sandwich shells. These shell models are developed in the framework of the Carrera's unified formulation (in a general and unified manner) by considering both equivalent single layer and layerwise multilayer description. The principle of virtual displacements contains elastic, thermal and hygroscopic strains. The governing equations allow mechanical, thermal and hygroscopic loads to be applied and they are solved in a closed-form solution. Thermal and hygroscopic loads are defined by means of appropriate temperature and moisture content profiles through the thickness of the shell, such profiles can ‘a priori’ be assumed or they can be calculated by solving the Fourier heat conduction equation and the Fick's moisture diffusion law. Such equations are solved in steady-state conditions and in curvilinear coordinates for the shell geometries. The presence of loads due to hygroscopic and thermal effects (in addition to the mechanical load) modifies the bending response of multilayered shells. Comparisons between classical and refined models, and between assumed and calculated temperature and moisture content profiles are proposed in the cases of composite and sandwich shells. The use of refined models combined with calculated temperature and moisture content profiles through the thickness is mandatory for a correct elasto-thermo-hygroscopic analysis of multilayered structures.

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A variational asymptotic approach for hygrothermal analysis of composite laminates

Cited by 28 publications

References 15 publications

Bending of symmetric cross-ply multilayered plates in hygrothermal environments

Bending of symmetric cross-ply multilayered plates in hygrothermal environments

Edge stresses analysis in laminated thick sandwich cylinder subjected to distributed hygrothermal loading

Hygrothermoelastic analysis of multilayered composite and sandwich shells

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