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Article

Keywords:
beam-column problem; anisotropic cylindrical shells
Summary:
The object of this paper is to formulate the differential equations in the beamcolumn problem of the buckling of anisotropic cylindrical shells, placed between the plates of a testing machine subject to an axial load $P$ and a radial load $H$ of sufficient magnitude to bring the expansion without constraint of the edges produced by $P$ to zero deflection. The solution is obtained with necessary boundary conditions and the corresponding results for the isotropic case are deduced.
References:
[1] W. Flügge: Stresses in shells. Springer Verlag, New York, 1967. MR 0116598
[2] J. Singer: Buckling of orthotropic stiffened conical shells. Collected papers on instability of shell structures, 1962.
[3] J. Singer R. Freshcher: Buckling of orthotropic conical shell under external presser. Vol. XV. Aeronautical quarterly (1964), 151-168.
[4] M. M. Lei, Shun Cheng: Buckling of composite and homogeneous isotropic cylindrical shells under axial and radial loading. Journal of Applied Mechanics (1969), 791 - 798. DOI 10.1115/1.3564772
[5] M. T. Wu, Shun Cheng: Nonlinear axisymmetric buckling of truncated spherical shells. Journal of Applied Mechanics (1970), 651-660.
[6] A. De: Buckling of anisotropic shells I. Apl. Mat. 28 (1983), 120-128. MR 0695186 | Zbl 0513.73048
[7] A. De: Buckling of anisotropic shells II. Apl. Mat. 28 (1983), 129-137. Zbl 0513.73049
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