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

Table 17

The factor of uniaxial buckling loads () along the y-axis of rectangular plates () with various boundary conditions and various thickness-to-width ratios ().

Boundary	Element
		0.001	0.05	0.1	0.2
SSSS		4.7132	4.6261	4.3905	3.6771
		4.1193	4.0431	3.8479	3.2455
		4.0476	3.9751	3.7949	3.2231
		4.0257	3.9564	3.785	3.2321
		4.0161	3.9495	3.7829	3.2422
	Exact [45]	4.0000	3.9437	3.7838	3.2558
SFSC		2.5834	2.5216	2.3678	1.9583
		2.3993	2.3194	2.1530	1.7580
		2.3821	2.2898	2.1191	1.7288
		2.3797	2.2794	2.1079	1.7213
		2.3799	2.2743	2.1031	1.7190
	Exact [45]	2.3901	2.2667	2.1010	1.7200
SFSS		2.5626	2.502	2.3511	1.9480
		2.3741	2.2965	2.1346	1.7483
		2.3567	2.2672	2.1010	1.7195
		2.3541	2.2569	2.0901	1.7122
		2.3542	2.2518	2.0853	1.7099
	Exact [45]	2.3639	2.2442	2.0829	1.7105
SFSF		2.1000	2.058	1.9553	1.6775
		2.0327	1.9737	1.8516	1.5567
		2.0286	1.9589	1.8315	1.5358
		2.0295	1.9531	1.8244	1.5301
		2.0309	1.9500	1.8212	1.5282
	Exact [45]	2.0413	1.9457	1.8216	1.5333

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