Journal of Composites

Research Article

Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory

Table 1

Comparison of nondimensionalized critical buckling load () of simply supported Al/Al₂O₃ plate subjected to uniaxial compression along the -axis .


Power-law index,
		Source	0	0.5	1	2	5	10	20	100

0.5	5	[27]	6.7203	4.4235	3.4164	2.6451	2.1484	1.9213	1.7115	1.3737
	5	Present	6.714	4.409	3.39	2.61	2.124	1.90	1.705	1.371
	10	[27]	7.405	4.82	3.71	2.88	2.41	2.18	1.93	1.52
	10	Present	7.397	4.81	3.70	2.87	2.40	2.18	1.93	1.5231
	20	[27]	7.599	4.93	3.79	2.95	2.49	2.26	2.00	1.56
	20	Present	7.590	4.924	3.78	2.95	2.48	2.26	2.00	1.56
	50	[27]	7.65	4.96	3.81	2.97	2.51	2.29	2.025	1.58
	50	Present	7.64	4.95	3.81	2.973	2.51	2.28	2.02	1.57
	100	[27]	7.66	4.968	3.82	2.98	2.52	2.29	2.028	1.58
	100	Present	7.65	4.96	3.81	2.97	2.51	2.292	2.02	1.58

1	5	[27]	16.02	10.62	8.22	6.34	5.05	4.48	4.00	3.25
	5	Present	16.00	10.57	8.146	6.23	4.97	4.44	3.98	3.25
	10	[27]	18.57	12.12	9.33	7.26	6.03	5.45	4.83	3.81
	10	Present	18.54	12.08	9.299	7.21	5.99	5.42	4.82	3.81
	20	[27]	19.35	12.56	9.66	7.53	6.34	5.76	5.09	3.99
	20	Present	19.31	12.53	9.649	7.51	6.32	5.75	5.08	3.98
	50	[27]	19.58	12.69	9.763	7.61	6.43	5.8	5.17	4.04
	50	Present	19.54	12.67	9.743	7.601	6.42	5.84	5.16	4.03
	100	[27]	19.61	12.71	9.77	7.62	6.45	5.87	5.18	4.05
	100	Present	19.57	12.69	9.75	7.61	6.43	5.86	5.17	4.04

1.5	5	[27]	28.19^a	19.25^a	15.03^a	7.61^a	8.47^a	7.29^a	6.61^a	5.63^a
	5	Present	28.15^a	19.09^a	14.76^a	11.06	8.25^a	7.20^a	6.56^a	5.612^a
	10	[27]	40.74^a	26.90^a	20.80^a	16.07^a	12.95^a	11.53^a	10.29^a	8.31^a
	10	Present	40.58^a	26.72^a	20.57^a	15.81^a	12.74^a	11.42^a	10.22^a	8.27^a
	20	[27]	45.89^a	29.90^a	23.02^a	17.92^a	14.94^a	13.52^a	11.98^a	9.44^a
	20	Present	45.64^a	29.71^a	22.85^a	17.75^a	14.81^a	13.425^a	11.90^a	9.39^a
	50	[27]	47.57^a	30.86^a	23.74^a	18.51^a	15.628^a	14.21^a	12.56^a	9.82^a
	50	Present	47.29^a	30.67^a	23.59^a	18.39^a	15.51^a	14.12^a	12.48^a	9.76^a
	100	[27]	47.82^a	31.01^a	23.84^a	18.60^a	15.72^a	14.31^a	12.65^a	9.87^a
	100	Present	47.53^a	30.82^a	23.69^a	18.48^a	15.62^a	14.23^a	12.57^a	9.81^a

2	5	[27]	37.74^b	26.36^b	20.74^b	15.58^b	10.95^b	9.15^c	8.39^c	7.44^b
	5	Present	37.67^b	26.11^b	20.29^b	14.99^b	10.65^b	9.04^c	8.317^c	7.40^b
	10	[27]	64.08^a	42.50^a	32.89^a	25.37^a	20.21^a	17.92^a	16.02^a	13.03^a
	10	Present	63.78^a	42.14^a	32.46^a	24.86^a	19.84^a	17.72^a	15.90^a	12.96^a
	20	[27]	74.3^a	48.49^a	37.35^a	29.05^a	24.14^a	21.81^a	19.33^a	15.27^a
	20	Present	73.80^a	48.10^a	37.00^a	28.71^a	23.86^a	21.61^a	19.18^a	15.17^a
	50	[27]	77.80^a	50.48^a	38.83^a	30.28^a	25.53^a	23.27^a	20.53^a	16.05^a
	50	Present	77.20^a	50.09^a	38.51^a	30.02^a	25.32^a	23.04^a	20.36^a	15.93^a
	100	[27]	78.32^a	50.78^a	39.05^a	30.47^a	25.74^a	23.45^a	20.71^a	16.17^a
	100	Present	77.71^a	50.38^a	38.74^a	30.22^a	25.54^a	23.26^a	20.55^a	16.04^a

Mode for plate is () = (2, 1).
^bMode for plate is () = (3, 1).
^cMode for plate is () = (4, 1).