Research Article
Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer
Table 4
Results of the FG plate
attached to the PFRC layer on the bottom surface with and without applied voltage.
| | Aspect ratio | s=10 | s=20 | s=100 | | Quantity | Theory | V=0 | V=100 | V=-100 | V=0 | V=100 | V=-100 | V=0 | V=100 | V=-100 |
| | | HOSNT [35] | -9.1979 | 1776.2 | -1794.6 | -8.9792 | 430.7050 | -448.6630 | -8.9093 | 8.5929 | -26.4115 | | | 3D [33] | -9.2748 | 1748.2 | -1807.5 | -9.0549 | 436.0142 | -454.1240 | -8.9338 | 8.7587 | -26.7281 | | | FEM [34] | -9.2761 | 1789.0 | -1766.7 | -9.0233 | 430.4678 | -448.5145 | -8.9364 | 8.6323 | -26.5051 | | | Present | -9.2090 | 1794.1 | -1812.5 | -9.0354 | 435.9295 | -454.0002 | -8.9801 | 8.7430 | -26.7031 |
| | | HOSNT [35] | -0.0877 | 57.1545 | -57.3300 | -0.0874 | 14.0393 | -14.2140 | -0.0872 | 0.4755 | -0.6500 | | | | 0.1878 | 0.7828 | -0.4073 | 0.1913 | 0.4707 | -0.0880 | 0.1925 | 0.2053 | 0.1797 | | | 3D [33] | -0.0890 | 57.1020 | -57.2801 | -0.0886 | 14.1124 | -14.2896 | -0.0885 | 0.4783 | -0.6552 | | | | 0.1890 | 0.5288 | -0.1507 | 0.1925 | 0.3882 | -0.0032 | 0.1936 | 0.2029 | 0.1844 | | | FEM [34] | -0.0877 | 57.1020 | -57.0792 | -0.0878 | 14.0431 | -14.2186 | -0.0877 | 0.4760 | -0.6514 | | | | 0.1931 | -0.0201 | 0.4063 | 0.1932 | 0.3963 | -0.0100 | 0.1930 | 0.2046 | 0.1815 | | | Present | -0.0883 | 57.3954 | -57.5720 | -0.0884 | 14.1204 | -14.2972 | -0.0884 | 0.4779 | -0.6546 | | | | 0.1890 | -0.3857 | 0.7637 | 0.1925 | 0.3335 | 0.0515 | 0.1936 | 0.2030 | 0.1843 |
| | HOSNT [35] | 0.4122 | -200.2660 | 201.0910 | 0.4101 | -49.1317 | 49.9519 | 0.4094 | -1.5643 | 2.3830 | | | | -0.0870 | 5.1151 | -5.2891 | -0.0853 | 1.1740 | -1.3446 | -0.0848 | -0.0349 | -0.1347 | | | 3D [33] | 0.4023 | -195.9356 | 196.7419 | 0.4011 | -48.4127 | 49.2150 | 0.4005 | -1.5486 | 2.3495 | | | | -0.0882 | 5.4977 | -5.6753 | -0.0871 | 1.2984 | -1.4726 | -0.0866 | -0.0313 | -0.1419 | | | FEM [34] | 0.4060 | -198.9894 | 199.8015 | 0.4061 | -49.1587 | 49.9708 | 0.4058 | -1.5729 | 2.3844 | | | | -0.0882 | 5.7883 | -5.9647 | -0.0882 | 1.3181 | -1.4945 | -0.0881 | -0.0328 | -0.1435 | | | Present | 0.4072 | -197.2765 | 198.0908 | 0.4012 | -48.3838 | 49.1861 | 0.3992 | -1.5440 | 2.3424 | | | | -0.0883 | 5.8572 | -6.0338 | -0.0869 | 1.3117 | -1.4856 | -0.0865 | -0.0317 | -0.1413 |
| | | HOSNT [35] | 0.4209 | -58.3826 | 59.2244 | 0.4185 | -14.2690 | 15.1060 | 0.4177 | -0.1697 | 1.0052 | | | | -0.0862 | 18.5407 | -18.7130 | -0.0845 | 4.6123 | -4.7813 | -0.0840 | 0.1044 | -0.2724 | | | 3D [33] | 0.4115 | -54.9286 | 55.7515 | 0.4093 | -13.5769 | 14.3954 | 0.4085 | -0.1529 | 0.9700 | | | | -0.0880 | 18.8895 | -19.0655 | -0.0863 | 4.7369 | -4.9096 | -0.0858 | 0.1082 | -0.2798 | | | FEM [34] | 0.4148 | -54.2976 | 55.1272 | 0.4147 | -13.5690 | 14.3984 | 0.4143 | -0.1484 | 0.9771 | | | | -0.0874 | 19.2664 | -19.4412 | -0.0874 | 4.8161 | -4.9909 | -0.0873 | 0.1096 | -0.2842 | | | Present | 0.4156 | -55.5255 | 56.3568 | 0.4094 | -13.5211 | 14.3400 | 0.4075 | -0.1491 | 0.9640 | | | | -0.0875 | 19.1071 | -19.2822 | -0.0861 | 4.7396 | -4.9118 | -0.0857 | 0.1077 | -0.2791 |
| | | HOSNT [35] | -0.2164 | 67.1785 | -67.6112 | -0.2153 | 16.4960 | -16.9266 | -0.2150 | 0.4517 | -0.8817 | | | | 0.0450 | -6.5236 | 6.6136 | 0.0458 | -1.6054 | 1.6971 | 0.0461 | -0.0201 | 0.1123 | | | 3D [33] | -0.2193 | 67.4898 | -67.9285 | -0.2182 | 16.6863 | -17.1227 | -0.2178 | 0.4581 | -0.8937 | | | | 0.0453 | -6.5681 | 6.6587 | 0.0461 | -1.6255 | 1.7177 | 0.0464 | -0.0207 | 0.1135 | | | FEM [34] | -0.2208 | 68.2317 | -68.6734 | -0.2209 | 16.8966 | -17.3383 | -0.2208 | 0.4635 | -0.9051 | | | | 0.0472 | -6.7491 | 6.8436 | 0.0472 | -1.6521 | 1.7466 | 0.0472 | -0.0207 | 0.1151 | | | Present | -0.2177 | 67.8268 | -68.2621 | -0.2177 | 16.6922 | -17.1276 | -0.2177 | 0.4574 | -0.8928 | | | | 0.0453 | -6.7182 | 6.8087 | 0.0461 | -1.6333 | 1.7256 | 0.0464 | -0.0207 | 0.1134 |
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