Nonlinear Euler buckling
نویسندگان
چکیده
The buckling of hyperelastic incompressible cylindrical shells of arbitrary length and thickness under axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are obtained using the Stroh formalism and the exact solution of Wilkes [Q. J. Mech. Appl. Math. 8:88–100, 1955] for the linearized problem. The main focus of this paper is the range of validity of the Euler buckling formula and its first nonlinear corrections that are obtained for third-order elasticity.
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