A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates

Table 4

Effects of volume fraction exponent and loading on the dimensionless stresses and displacements of a FGM square plate (𝑎/ℎ=10).

𝑘	Theory	𝑤	𝜎𝑥	𝜎𝑦	𝜏𝑦𝑧	𝜏𝑥𝑧	𝜏𝑥𝑦
0	NHPSDT	0.4665	2.8928	1.9104	0.4424	0.5072	1.2851
ceramic	SSDPT	0.4665	2.8932	1.9103	0.4429	0.5114	1.2850
	Reddy	0.4665	2.8920	1.9106	0.4411	0.4963	1.2855
	NHPSDT	0.9421	4.2607	2.2569	0.54404	0.50721	1.1573
1	SSDPT	0.9287	4.4745	2.1692	0.5446	0.5114	1.1143
	Reddy	0.94214	4.25982	2.25693	0.54246	0.49630	1.15725
	NHPSDT	1.2228	4.8890	2.1663	0.5719	0.4651	1.0448
2	SSDPT	1.1940	5.2296	2.0338	0.5734	0.4700	0.9907
	Reddy	1.22275	4.88814	2.16630	0.56859	0.45384	1.04486
	NHPSDT	1.3533	5.2064	1.9922	0.56078	0.4316	1.0632
3	SSDPT	1.3200	5.6108	1.8593	0.5629	0.4367	1.0047
	Reddy	1.3530	5.20552	1.99218	0.55573	0.41981	1.06319
	NHPSDT	1.4653	5.7074	1.7143	0.50075	0.4128	1.1016
5	SSDPT	1.4356	6.1504	1.6104	0.5031	0.4177	1.0451
	Reddy	1.46467	5.70653	1.71444	0.49495	0.40039	1.10162
	NHPSDT	1.6057	6.9547	1.3346	0.4215	0.4512	1.1118
10	SSDPT	1.5876	7.3689	1.2820	0.4227	0.4552	1.0694
	Reddy	1.60541	6.95396	1.33495	0.41802	0.43915	1.1119
∞	NHPSD	2.5327	2.8928	1.9104	0.4424	0.5072	1.2851
métal	SSDPT	2.5327	2.8932	1.9103	0.4429	0.5114	1.2850
	Reddy	2.5328	2.8920	1.9106	0.4411	0.4963	1.2855