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, 2013

"... Geometrically nonlinear transient analysis of functionally graded shell panels using a higher-order finite element formulation ..."

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Geometrically nonlinear transient analysis of functionally graded shell panels using a higher-order finite element formulation

### unknown title

"... Static analysis of skew composite shells is presented by develop-ing 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 s ..."

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Static analysis of skew composite shells is presented by develop-ing 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 com-posite shells. The C0 finite element formulation has been done quite efficiently to overcome the problem of C1 continuity associ-ated 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 re-sponse of laminated composite skew shells considering different geometry, boundary conditions, ply orientation, loadings and skew angles. Shell forms considered in this study include spheri-cal, conical, cylindrical and hypar shells.

### Buckling and Parametric Instability Behavior of Functionally Graded Shells

"... Functionally graded (FG) materials are a class of composites that have a continuous variation of material properties from one surface to another and thus eliminate interface problems found in laminated composites. FG materials are typically manufactured from isotropic components such as metals and c ..."

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Functionally graded (FG) materials are a class of composites that have a continuous variation of material properties from one surface to another and thus eliminate interface problems found in laminated composites. FG materials are typically manufactured from isotropic components such as metals and ceramics since they are used as thermal barrier structures in environments with severe thermal gradients. FG materials have the advantage of heat and corrosion resistance typical of ceramics and mechanical strength and toughness typical of metals. Buckling and parametric instability behavior of functionally graded shells subjected to in-plane static and pulsating loads are carried out in the present paper. The shell forms considered here are cylindrical (CYL), spherical (SPH) and hypar (HYP). Temperature change through the thickness is not uniform, and is governed by one-dimensional Fourier equation of heat conduction. Finite element formulation based on a higher order shear deformation theory is used to carry out the analyses. The parametric instability problem is solved using the Bolotin’s approach. The displacement fields are assumed in the form as [1], 2 * 3 *