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

Table 16

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

Boundary	Method
		0.001	0.05	0.1	0.2
SSSS	SSM	4.000	3.944	3.784	3.256
	Shear-MK	4.0243	3.9153	3.7895	3.2748
	MK	5.467	5.0111	3.7905	3.2799
	Exact [45]	4.000	3.9437	3.7838	3.2558
	S8R	3.997	3.9445	3.7866	1.7025
	QH8-R	4.0132	3.9478	3.7827	3.2464
SFSC	SSM	1.653	1.620	1.556	1.370
	Shear-MK	1.6552	1.6211	1.5658	1.3765
	MK	2.5876	2.1778	1.5699	1.3612
	Exact [45]	1.6522	1.6197	1.5558	1.3701
	S8R	1.6560	1.6202	1.5570	1.2532
	QH8-R	1.6522	1.6209	1.5549	1.3669
SFSS	SSM	1.402	1.378	1.327	1.173
	Shear-MK	1.4211	1.3877	1.3795	1.2700
	MK	2.2456	2.0323	1.3791	1.2755
	Exact [45]	1.4014	1.3813	1.3707	1.2138
	S8R	1.4017	1.3816	1.3415	1.2158
	QH8-R	1.4022	1.3827	1.3410	1.2133
SFSF	SSM	0.9523	0.9412	0.9146	0.8274
	Shear-MK	0.9676	0.9455	0.9231	0.8575
	MK	1.7644	1.6578	0.9344	0.8654
	Exact [45]	0.95225	0.94314	0.92187	0.85011
	S8R	0.9524	0.9433	0.9223	0.8325
	QH8-R	0.9532	0.9442	0.9227	0.8519

Note. QH8-R . Shear correction factor .