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The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(3):415-429; doi:10.1093/qjmam/40.3.415
© 1987 by Oxford University Press
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AXISYMMETRIC BUCKLING OF A CYLINDRICAL ELASTIC COSSERAT SHELL UNDER AXIAL COMPRESSION

H. RAMSEY

( Department of Mechanical Engineering, University of British Columbia Vancouver, Canada V6T 1W5 )

The general theory of an elastic Cosserat surface due to Green and Naghdi, along with some kinematic results from the theory of superposed small deformations on a large deformation of an elastic Cosserat surface, are applied to study axisymmetric buckling of a cylindrical elastic shell under axial compression. An eigencondition is determined for a sinusoidal buckling mode in an infinitely long shell which illustrates the dependence of the buckling load on the pre-buckling deformation and on shear deformation in the superposed buckling deformation.


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