Research Article
A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates
Table 3
Distribution of stresses across the thickness of isotropic homogenous plates (
E;
and
).
| | | (, , ) | (0, 0,) | | 3D | SSDPT | NHPSDT | Reddy | 3D | SSDPT | NHPSDT | Reddy |
|
0.01
| 0.005 | 2873.3 | 2873.39 | 2873.422 | 2873.41 | 1949.6 | 1949.36 | 1949.086 | 1949.061 | | 0.004 | 2298.6 | 2298.57 | 2298.597 | 2298.593 | 1559.2 | 1559.04 | 1558.854 | 1558.843 | | 0.003 | 1723.9 | 1723.84 | 1723.861 | 1723.865 | 1169.1 | 1168.99 | 1168.883 | 1168.895 | | 0.002 | 1149.2 | 1149.18 | 1149.197 | 1149.205 | 779.3 | 779.18 | 779.127 | 779.151 | | 0.001 | 574.6 | 574.58 | 574.585 | 574.591 | 389.6 | 389.55 | 389.523 | 389.541 | | 0.000 | 0.000 | 0.000 | 0.00000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
|
0.03
| 0.015 | 319.4 | 319.445 | 319.445 | 319.437 | 217.11 | 217.156 | 217.082 | 217.058 | | 0.012 | 255.41 | 255.415 | 255.416 | 255.413 | 173.26 | 173.282 | 173.255 | 173.244 | | 0.009 | 191.49 | 191.472 | 191.475 | 191.48 | 129.75 | 129.682 | 129.686 | 129.698 | | 0.006 | 127.63 | 127.603 | 127.607 | 127.615 | 86.41 | 86.313 | 86.330 | 86.354 | | 0.003 | 63.8 | 63.788 | 63.790 | 63.796 | 43.18 | 43.72 | 43.126 | 43.143 | | 0.000 | 0.000 | 0.000 | 0.0000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
|
0.10
| 0.05 | 28.89 | 28.9307 | 28.928 | 28.92 | 19.92 | 20.0476 | 20.021 | 20.003 | | 0.04 | 22.998 | 23.0055 | 23.004 | 23.000 | 15.606 | 15.6459 | 15.638 | 15.629 | | 0.03 | 17.182 | 17.166 | 17.167 | 17.171 | 11.558 | 11.4859 | 11.494 | 11.504 | | 0.02 | 11.423 | 11.3994 | 11.402 | 11.410 | 7.642 | 7.5315 | 7.546 | 7.565 | | 0.01 | 5.702 | 5.6858 | 5.687 | 5.693 | 3.803 | 3.7265 | 3.7369 | 3.751 | | 0.00 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000
|
|
|
