Modeling elastic-plastic buckling of sandwich axisymmetric shells: on the limits of

Advanced Modeling and Simulation in Engineering Sciences

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