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 8 The calculated normalized external buckling pressure for the 60° 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	0.889	0.878	8	0.729	8	0.82
3	0.001	0.889	0.878	8	0.868	8	0.98
3	0.01	0.891	0.879	8	0.888	8	1.0
3	0.1	0.899	0.892	8	0.900	8	1.0
3	1.0	1.	1.	8	1.0	8	1.0
11	0.0001	0.366	0.360	5	0.176	7	0.49
11	0.001	0.366	0.361	5	0.325	5	0.91
11	0.01	0.376	0.367	5	0.358	5	0.98
11	0.1	0.443	0.411	5	0.429	5	0.99
11	1.0	1.	1.	6	1.	5	1.02
51	0.0001	0.097	0.087	3	0.022	6	0.24
51	0.001	0.098	0.088	3	0.072	4	0.76
51	0.01	0.11	0.097	3	0.101	4	0.95
51	0.1	0.196	0.183	4	0.187	4	0.99
51	1.0	1.	1.	4	1.	4	1.03