Abstract

The present paper is the first study on the hygrothermal analysis (i.e., effect of temperature and moisture loadings) of laminated composite skew conoids with reasonable depth and thickness. In order to solve the hygrothermal problem of laminated composite skew conoids, the cubic variation in displacement field, along with cross curvature effects of the shell, were considered. In the present analysis, the shear correction factor is not needed due to the parabolic variation of transverse shear strain. The zero transverse shear stress conditions at the top and bottom of the shell were imposed in the mathematical model. The novelty of our model is reflected by the simultaneous addition of twist curvature in the strain field, as well as the curvature in the displacement field allowing the reasonably thick and deep laminated composite rhombic conoid. The conoid behavior differs from the usual shells, like cylindrical or spherical ones, due to its inherent twist curvature with the complex geometry and different location of maximum deflection. The finite element (FE) implementation of the present realistic mathematical model was carried out using a nine-noded curved isoparametric element with seven unknowns at each node. The C0 FE implementation of the present mathematical model was done and coded in FORTRAN. The present model results were compared and found in good agreement with other solutions published in the literature. Hygrothermal analysis was performed for skew conoids having a different skew angle, temperature, moisture concentration, curvatures, ply orientation, thickness ratio, and boundary conditions.

Highlights

  • Nowadays, laminated composite structures are gaining increasing attention due to their enhanced properties, such as high strength to stiffness ratio, high strength to weight ratio, improved toughness, and resistance to oxidation and corrosion

  • The hygrothermal response of the laminated composite plate was studied by Pipes et al [8]

  • A C0 finite element (FE) model using a nine-noded continuous curved isoparametric element was developed by the authors for the present study

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Summary

Introduction

Nowadays, laminated composite structures are gaining increasing attention due to their enhanced properties, such as high strength to stiffness ratio, high strength to weight ratio, improved toughness, and resistance to oxidation and corrosion. The hygrothermal response of the laminated composite plate was studied by Pipes et al [8] They used the classical equation of diffusion to accurately describe the diffusion of moisture through the thickness. Wu and Tauchert [10] presented the thermal deformation and stress results in antisymmetric angle-ply and cross-ply laminates They validated their results by developing the exact solutions for the response of supported plates to general three-dimensional temperature variations. Jin and Yao [30] presented an efficient improved C0 -type global-local model (IGLM) to study the bending analysis of thick cross-ply laminates under hygrothermal loadings. Das and Chakravorty [38] employed the first order shear deformation theory (FSDT) for the static analysis of laminated conoids Their FE code was developed using the eight-node curved isoparametric elements. A C0 FE model using a nine-noded continuous curved isoparametric element was developed by the authors for the present study

Displacement Fields and Strains
Constitutive Equation
Finite Element Formulations
Results and Discussion
Convergence Study
Comparison Study
Parametric Study
Conclusions
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