Abstract
Static analysis of skew composite shells is presented by developing a C0 finite element (FE) model based on higher order shear deformation theory (HSDT). In this theory the transverse shear stresses are taken as zero at the shell top and bottom. A realistic parabolic variation of transverse shear strains through the shell thickness is assumed and the use of shear correction factor is avoided. Sander's approximations are considered to include the effect of three curvature terms in the strain components of composite shells. The C0 finite element formulation has been done quite efficiently to overcome the problem of C1 continuity associated with the HSDT. The isoparametric FE used in the present model consists of nine nodes with seven nodal unknowns per node. Since there is no result available in the literature on the problem of skew composite shell based on HSDT, present results are validated with few results available on composite plates/shells. Many new results are presented on the static response of laminated composite skew shells considering different geometry, boundary conditions, ply orientation, loadings and skew angles. Shell forms considered in this study include spherical, conical, cylindrical and hypar shells.
Highlights
Laminated composite shell structures are widely used in civil, mechanical, aerospace and other engineering applications
Many problems of laminated composite shells are solved for normal as well as skew configurations using the present finite element model based on higher order shear deformation theory (HSDT)
As there is no result available in the literature in the present problem of laminated composite skew shell, the results obtained by the proposed model are validated by some published results on laminated composite shells of normal geometry
Summary
Laminated composite shell structures are widely used in civil, mechanical, aerospace and other engineering applications. Reddy and Liu [33] presented a simple higher-order shear deformation theory (HSDT) for the analysis of laminated shells It contains the same dependent unknowns as in the first-order shear deformation theory (FSDT) in which the displacements of the middle surface are expanded as linear functions of the thickness coordinate and the transverse deflection is assumed to be constant through the thickness. Pradyumna and Bandyopadhyay [31] studied the behavior of laminated composite shells based on a higher-order shear deformation theory (HSDT) developed by Kant and Khare [21] They [21] extended the theory to the shells to include all three radii of curvature.
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