A Refined Higher-Order Hybrid Stress Quadrilateral Element for Free Vibration and Buckling Analyses of Reissner-Mindlin Plates

Table 18

The factor of biaxial buckling loads () for rectangular plates () with various boundary conditions and various thickness-to-width ratios ().

Boundary	Element
		0.001	0.005	0.05	0.1
SSSS		2.3774	2.3770	2.3377	2.2277
		2.0671	2.0667	2.0334	1.9432
		2.0275	2.0272	1.9954	1.9108
		2.015	2.0147	1.984	1.9023
		2.0095	2.0091	1.9793	1.8992
	Exact [45]	2.0000	1.9997	1.9718	1.8919
SFSC		1.1820	1.1818	1.1652	1.1205
		1.1474	1.1472	1.1261	1.0767
		1.1427	1.1424	1.1184	1.0679
		1.1416	1.1413	1.1155	1.0649
		1.1414	1.1410	1.1140	1.0636
	Exact [45]	1.1431	1.1412	1.1119	1.0641
SFSS		1.0925	1.0923	1.0794	1.0439
		1.0606	1.0605	1.0445	1.0060
		1.0558	1.0556	1.0378	0.9986
		1.0546	1.0543	1.0352	0.9962
		1.0541	1.0538	1.0340	0.9952
	Exact [45]	1.0548	1.0535	1.0322	0.99541
SFSF		0.9671	0.9670	0.9583	0.9334
		0.9400	0.9399	0.9302	0.9053
		0.9351	0.9349	0.9247	0.9002
		0.9335	0.9333	0.9228	0.8986
		0.9328	0.9326	0.9219	0.8979
	Exact [45]	0.93209	0.9316	0.92071	0.89774

Note. QH8-R (). Shear correction factor . Shear correction factor .