A Stress Approach Model of Functionally Graded Shells

Table 1

Summary of the results obtained by SFE, SAM-FG, and some FG plate models (case of a simply supported plate).

n	Source
1	Ref. [19]	3.087	1.4894	0.611	0.2622	0.2462
	Ref. [25]	3.08501	1.4898	0.61111	0.19071	0.23817
	Ref. [20]	3.087	1.4894	0.611	0.2622	0.2462
	Ref. [21]	3.08782	1.49034	0.610704	0.254721	0.238405
	SAM-FG	3.07174	1.5099	0.613595	0.250797	0.238732
	3D	3.0971	1.5062	0.61118	0.25087	0.23829
	Err. [21]	0.30%	1.05%	0.08%	1.54%	0.05%
	Err. SAM	0.82%	0.25%	0.40%	0.03%	0.19%
2	Ref. [19]	3.6094	1.3954	0.5441	0.2763	0.2265
	Ref. [25]	3.60664	1.39575	0.54434	0.1807	0.22568
	Ref. [20]	3.6094	1.3954	0.5441	0.2763	0.2265
	Ref. [21]	3.61635	1.39638	0.543421	0.263908	0.222026
	SAM-FG	3.58547	1.41862	0.547384	0.249345	0.226214
	3D	3.6248	1.413	0.54362	0.24953	0.22565
	Err. [21]	0.23%	1.18%	0.04%	5.76%	1.61%
	Err. SAM	1.08%	0.40%	0.69%	0.07%	0.25%
5	Ref. [19]	4.2488	1.1029	0.5755	0.2429	0.2017
	Ref. [25]	4.24293	1.10539	0.57368	0.17307	0.21609
	Ref. [20]	4.2488	1.1029	0.5755	0.2429	0.2017
	Ref. [21]	4.25983	1.1022	0.574958	0.237709	0.199975
	SAM-FG	4.21141	1.12983	0.580714	0.232555	0.217565
	3D	4.258	1.1181	0.57651	0.23242	0.21693
	Err. [21]	0.04%	1.42%	0.27%	2.28%	7.82%
	Err. SAM	1.09%	1.05%	0.73%	0.06%	0.29%
10	Ref. [20]	5.089	0.8775	0.5894	0.2041	0.2198
	Ref. [21]	5.08932	0.87743	0.58939	0.205434	0.216235
	SAM-FG	5.05329	0.90073	0.59523	0.224153	0.217047
	3D	5.0666	0.89472	0.59268	0.22362	0.2166
	Err. [21]	0.45%	1.93%	0.56%	8.13%	0.17%
	Err. SAM	0.26%	0.67%	0.43%	0.24%	0.21%