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Table 9 The calculated normalized external buckling pressure for the 45° cone

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

Overall β COQMULT r cone-pext Mode QUA8 Mode Ratio
thickness   P cr P COQMULT E = 200000    P cr P QUA 8 E = 200000   QUA8/
(mm)        COQMULT
3 0.0001 0.889 0.878 9 0.698 9 0.98
3 0.001 0.889 0.878 9 0.863 9 0.97
3 0.01 0.891 0.879 9 0.890 9 1.0
3 0.1 0.900 0.892 9 0.900 9 1.0
3 1.0 1. 1. 9 1.0 8 1.0
11 0.0001 0.360 0.360 6 0.152 8 0.42
11 0.001 0.361 0.361 6 0.316 6 0.87
11 0.01 0.367 0.367 6 0.361 6 0.98
11 0.1 0.412 0.430 6 0.425 6 1.03
11 1.0 1. 1. 6 1. 6 1.0
51 0.0001 0.089 0.087 4 0.017 4 0.19
51 0.001 0.090 0.088 4 0.066 4 0.72
51 0.01 0.099 0.097 4 0.095 4 0.94
51 0.1 0.143 0.183 4 0.151 4 1.03
51 1.0 1. 1. 4 1. 5 1.0