NUMERICALLY STUDYING THE PROCESSES OF ELASTOPLASTIC DEFORMATION, LOSS OF STABILITY AND SUPERCRITICAL BEHAVIOR OF SPHERICAL SHELLS UNDER COMPRESSION
An axisymmetric problem of loss-of-stability and supercritical behavior of elastoplastic spherical shell under compression is analyzed. A current Lagrangian formulation is used to describe the motion of the shell. Relations of the theory of flow with isotropic hardening are used as equations of state. The problem is analyzed using the finite element method and an explicit cross-type time-integration finite-difference scheme. The adequacy of the computed results is corroborated by available experimental data.