Buckling and post-buckling of symmetrically laminated moderately-thick spherical caps

Nonlinear thermo-mechanical stability of shear deformable FGM sandwich shallow spherical shells with tangential edge constraints

“…In the present study, the first order shear deformation shell theory is used for formulation and the FGM SSSS is assumed to be under axisymmetric deformation. According to this theory, displacement components u, v, w in ϕ, θ, z directions, respectively, at a distance z from the middle surface are represented as [7] u(r, z) = u(r)…”

“…The FGM SSSS is assumed to be clamped on the boundary edge and under axisymmetric deformation. The symmetry condition at the center r = 0 together out-of-plane and in-plane boundary conditions at r = a are expressed in the form [4,7,8]…”

“…Static and dynamic responses of isotropic spherical shells have been investigated in works [1][2][3][4][5][6] using analytical and semi-analytical approaches. Subsequently, axisymmetric bucking and post-buckling behavior of moderately thick shallow spherical shells c 2017 Vietnam Academy of Science and Technology made of symmetrically laminated composites and subjected to uniform external pressure have been analyzed by Xu [7] utilizing a Fourier-Bessel series solution and by Nath and Sandeep [8] using an iterative Chebyshev series solution technique. Also, Muc [9] made use of trigonometric series method to consider unsymmetrical buckling and postbuckling behavior of laminated shallow spherical shells subjected to external pressure.…”

Buckling of Laminated Composite Spherical Shell Cap

“…The study of buckling of composite cylindrical shell panels subjected to axial compression, using a geometric non-linear analysis, has been considered by many researchers [1][2][3][4][5][6][7][8][9][10][11][12]. The study of buckling of composite spherical shells using a geometric non-linear analysis has been considered by a few researchers [13][14][15][16]. Xu [13] investigated the large deformation behaviour of symmetrically laminated shallow spherical shells using Bessel-Fourier series approach.…”

“…The study of buckling of composite spherical shells using a geometric non-linear analysis has been considered by a few researchers [13][14][15][16]. Xu [13] investigated the large deformation behaviour of symmetrically laminated shallow spherical shells using Bessel-Fourier series approach. Narasimhan and Alwar [14] solved the problem of axisymmetric large deformation behaviour of clamped anti-symmetrically laminated spherical shell using Chebyshev-Galerkin spectral method based on deep shell theory.…”