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

Advanced Modeling and Simulation in Engineering Sciences

Table 10 The calculated normalized external buckling pressure for the 30° cone

Overall	β	COQMULT	r _cone-pext	Mode	QUA8	Mode	Ratio
thickness		$\frac{P_{cr}}{P_{COQMULT}^{E = 200000}}$			$\frac{P_{cr}}{P_{QUA 8}^{E = 200000}}$		QUA8/
(mm)							COQMULT
3	0.0001	0.890	0.878	9	0.69	9	0.78
3	0.001	0.890	0.878	9	0.86	9	0.97
3	0.01	0.890	0.879	9	0.89	9	0.99
3	0.1	0.900	0.892	9	0.900	9	1.0
3	1.0	1.	1.	9	1.0	9	1.0
11	0.0001	0.360	0.360	6	0.150	8	0.41
11	0.001	0.364	0.361	6	0.314	6	0.86
11	0.01	0.370	0.367	6	0.362	6	0.97
11	0.1	0.430	0.43	6	0.423	6	1.0
11	1.0	1.	1.	6	1.	6	1.0
51	0.0001	0.096	0.087	4	0.016	9	0.16
51	0.001	0.096	0.088	4	0.067	4	0.69
51	0.01	0.104	0.097	4	0.098	4	0.93
51	0.1	0.185	0.183	4	0.184	4	0.98
51	1.0	1.	1.	4	1.	4	0.99