A New Sinusoidal Shear Deformation Theory for Static Bending Analysis of Functionally Graded Plates Resting on Winkler–Pasternak Foundations

Table 1

The deflections and stresses of the square isotropic FGM plates without elastic foundation.

	Method
Ceramic	Zenkour [31]	0.4665	2.8932	1.9103	1.2850	0.5114	0.4429
	Present	0.4665	2.8929	1.9104	1.2844	0.5127	0.4440
1	Zenkour [31]	0.9287	4.4745	2.1692	1.1143	0.5114	0.5446
	Present	0.9287	4.4740	2.1693	1.1140	0.5127	0.5459
2	Zenkour [31]	1.1940	5.2296	2.0338	0.9907	0.4700	0.5734
	Present	1.1940	5.2289	2.0338	0.9903	0.4710	0.5746
3	Zenkour [31]	1.3200	5.6108	1.8593	1.0047	0.4367	0.5629
	Present	1.3200	5.6100	1.8594	1.0043	0.4376	0.5640
4	Zenkour [31]	1.3890	5.8915	1.7197	1.0298	0.4204	0.5346
	Present	1.3890	5.8907	1.7198	1.0293	0.4213	0.5357
5	Zenkour [31]	1.4356	6.1504	1.6104	1.0451	0.4177	0.5031
	Present	1.4356	6.1496	1.6105	1.0446	0.4185	0.5040
6	Zenkour [31]	1.4727	6.4043	1.5214	1.0536	0.4227	0.4755
	Present	1.4727	6.4034	1.5215	1.0531	0.4235	0.4764
7	Zenkour [31]	1.5049	6.6547	1.4467	1.0589	0.4310	0.4543
	Present	1.5049	6.6537	1.4468	1.0584	0.4318	0.4551
8	Zenkour [31]	1.5343	6.8999	1.3829	1.0628	0.4399	0.4392
	Present	1.5342	6.8989	1.3830	1.0622	0.4407	0.4400
9	Zenkour [31]	1.5617	7.1383	1.3283	1.0662	0.4481	0.4291
	Present	1.5616	7.1373	1.3284	1.0656	0.4490	0.4299
10	Zenkour [31]	1.5876	7.3689	1.2820	1.0694	0.4552	0.4227
	Present	1.5875	7.3679	1.2821	1.0689	0.4561	0.4235
Metal	Zenkour [31]	2.5327	2.8932	1.9103	1.2850	0.5114	0.4429
	Present	2.5326	2.8929	1.9104	1.2844	0.5127	0.4440