the axisymmetric bifurcation analysis of an elastic cylindrical shell subjected to external pressure and axial loading

in this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic material is considered. the shell, which is made of three-term strain energy function is subjected to the combined external and axial loading pressure. in order to obtain the relevant eigenvalues, which is the main objective of the work, the incremental equilibrium equations are solved with two numerical, i.e. adams-moulton and compound matrix methods. finally the bifurcation behavior is investigated by plotting the radius changes with respect to the changes of the length of the cylinder.