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Table 14 The calculated elastic-plastic buckling loads for the sphere under external pressure

From: Modeling elastic-plastic buckling of sandwich axisymmetric shells: on the limits of "shell" models and analytical solutions

Overall β COQMULT   QUA8   Plasticity ratio
thickness   P crit plast P crit plast P E P crit plast P crit etan P E QUA8/
(mm)   (MPa)   (MPa)   COQMULT
3 0.0001 0.80 0.46 0.08 0.14 0.1
3 0.01 0.8 0.46 0.77 0.47 0.96
3 1. 1.17 0.54 1.16 0.53 0.99
11 0.0001 0.80 0.096 0.095 0.148 0.12
11 0.01 0.836 0.098 0.833 0.11 1.0
11 1. 4.4 0.15 4.39 0.15 1.
51 0.0001 0.802 0.02 0.018 0.021 0.023
51 0.01 1.0 0.022 0.98 0.025 0.98
51 1. 20.4 0.033 19.8 0.034 0.97