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

Table 20

Buckling load intensity factor of skew plates having , CCCC, CFCF, and boundary conditions subject to uniaxial loads ().

Boundary		Skew angle	Mesh-free [48]				pb-2 Ritz [46]
	0.05	0°	—	3.8057	3.7905	3.7815	3.7835
		15°	—	4.1583	4.1380	4.1276	4.1314
		30°	5.3874	5.4755	5.4304	5.4109	5.4182
		45°	8.6926	8.9757	8.8002	8.7247	8.7328
	0.1	0°	—	3.5111	3.5007	3.4965	3.4950
		15°	—	3.8234	3.8094	3.8047	3.8027
		30°	4.8534	4.9813	4.9475	4.9370	4.9324
		45°	7.6106	7.9388	7.7931	7.7430	7.7236
CCCC	0.05	0°	9.5418	9.8091	9.6238	9.5647	9.5588
		15°	10.2123	10.5549	10.3209	10.2430	10.2312
		30°	12.5225	13.2413	12.7803	12.6114	12.5711
		45°	17.8211	19.9900	18.6615	18.1211	17.9652
	0.1	0°	8.1849	8.3903	8.2836	8.2936	8.2917
		15°	8.7560	8.9338	8.7863	8.7845	8.7741
		30°	10.3273	10.8235	10.4883	10.4238	10.3760
		45°	13.2881	15.2116	14.2092	13.8638	13.6909
CFCF	0.05	0°	3.7984	3.8724	3.8281	3.8082	3.8007
		15°	4.1310	4.2202	4.1688	4.1460	4.1387
		30°	5.3510	5.4976	5.4102	5.3720	5.3660
		45°	7.3658	7.9413	7.6341	7.4986	7.4670
	0.1	0°	3.5063	3.5523	3.5262	3.5185	3.5077
		15°	3.7684	3.8441	3.8135	3.8049	3.7937
		30°	4.7773	4.8862	4.8316	4.8168	4.8043
		45°	6.3092	6.6886	6.4547	6.3680	6.3311
	0.05	0°	—	0.9459	0.9436	0.9424	0.9421
		15°	—	1.0535	1.0513	1.0501	1.0501
		30°	—	1.4612	1.4594	1.4583	1.4603
		45°	—	2.5333	2.5317	2.5311	2.5450
	0.1	0°	—	0.9227	0.9210	0.9202	0.9199
		15°	—	1.0215	1.0199	1.0191	1.0189
		30°	—	1.3892	1.3878	1.3873	1.3887
		45°	—	2.3192	2.3187	2.3190	2.3316

Note. , , : the meshes for element QH8-R.