Abstract
To analyse the plastic large deformation problems of cylindrical shell by the incremental method, we develope the pseudo-equilibrium type element based on the principle of modified complementary virtual work. Then, we examine the developing process of plastic deformation and stress distributions when a cylinder is subjected to an axial compression force (one of the complicated structural problems involving plastic large deformation, variable boundaries and dynamic effects). Here we treat this problem as the static one and calculate the two cases of boundaries (1) simple supports (2) clamped supports. In the sample, the finite element solutions are performed for L/R=4, R/T=20, T=1mm and 2024-T 4 Al-Alloy material. But it is easy to employ any type of strain hardening rules and to extend the above method to the dynamic problems. As a result, we find that, unlike the elastic solution, one half-wave in the case of simple supports is formed at the end and outwards from the original generating line of the shell. It coincides with the experimental facts.
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