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 12 The calculated relative internal buckling pressure for the 45° cone

Overall	β	COQMULT	r _cone-pint	QUA8	Ratio
thickness		$\frac{P_{cr}}{P_{COQMULT}^{E = 200000}}$		$\frac{P_{cr}}{P_{QUA 8}^{E = 200000}}$	QUA8/
(mm)					COQMULT
3	0.0001	0.813	0.801	0.25	0.31
3	0.001	0.813	0.801	0.49	0.60
3	0.01	0.815	0.803	0.77	0.95
3	0.1	0.833	0.823	0.83	1.00
3	1.0	1.	1.	1.0	1.00
11	0.0001	0.306	0.287	0.021	0.07
11	0.001	0.306	0.287	0.079	0.26
11	0.01	0.314	0.295	0.273	0.87
11	0.1	0.382	0.365	0.378	0.99
11	1.0	1.	1.	1.0	1.0
51	0.0001	0.078	0.067	0.0015	0.02
51	0.001	0.079	0.068	0.0067	0.08
51	0.01	0.089	0.077	0.0407	0.45
51	0.1	0.174	0.165	0.17	0.97
51	1.0	1.	1.	1.0	0.99