Research Article
Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer
Table 3
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] | -0.9472 | 359.1410 | -361.0400 | -0.9172 | 89.2463 | -91.0807 | -0.9067 | 2.7015 | -4.1494 | | | 3D [33] | -0.9428 | 359.0874 | -360.9938 | -0.9164 | 89.5468 | -91.3877 | -0.9076 | 2.7147 | -4.5346 | | | FEM [34] | -0.9416 | 360.3108 | -362.1940 | -0.9205 | 89.4064 | -91.2392 | -0.9100 | 2.7028 | -4.5180 | | | Present | -0.9486 | 363.9614 | -365.8587 | -0.9192 | 89.8131 | -91.6515 | -0.9098 | 2.7131 | -4.5327 |
| | | HOSNT [35] | -0.0191 | 12.6577 | -12.6960 | -0.0192 | 2.9598 | -2.9982 | -0.0192 | 0.0975 | -0.1359 | | | | 0.0093 | 0.2688 | -0.2502 | 0.0093 | 0.0861 | -0.0675 | 0.0093 | 0.0125 | 0.0060 | | | 3D [33] | -0.0192 | 12.4664 | -12.5049 | -0.0193 | 2.9557 | -2.9942 | -0.0193 | 0.0978 | -0.1364 | | | | 0.0093 | 0.2578 | -0.2391 | 0.0093 | 0.0835 | -0.0649 | 0.0093 | 0.0124 | 0.0062 | | | FEM [34] | -0.0193 | 11.9237 | -11.9622 | -0.0193 | 2.9147 | -2.9532 | -0.0192 | 0.0974 | -0.1359 | | | | 0.0093 | 0.1967 | -0.1781 | 0.0093 | 0.0811 | -0.0625 | 0.0093 | 0.0125 | 0.0061 | | | Present | -0.0193 | 11.9869 | -12.0256 | -0.0193 | 2.9241 | -2.9627 | -0.0193 | 0.0977 | -0.1363 | | | | 0.0093 | 0.1609 | -0.1424 | 0.0093 | 0.0775 | -0.0589 | 0.0093 | 0.0124 | 0.0062 |
| | | HOSNT [35] | 0.0874 | -50.2609 | 50.4364 | 0.0877 | -11.8397 | 12.0150 | 0.0876 | -0.3808 | 0.5561 | | | | -0.4202 | 47.7941 | -48.6351 | -0.4147 | 11.1666 | -11.9961 | -0.4129 | 0.0441 | -0.5698 | | | 3D [33] | 0.0865 | -48.6233 | 48.7963 | 0.0866 | -11.6559 | 11.8291 | 0.0866 | -0.3775 | 0.5507 | | | | -0.4228 | 47.6247 | -48.4703 | -0.4179 | 11.4491 | -12.2848 | -0.4163 | 0.0564 | -0.8890 | | | FEM [34] | 0.0883 | -47.8463 | 48.0230 | 0.0883 | -11.7681 | 11.9448 | 0.0883 | -0.3842 | 0.5608 | | | | -0.4250 | 50.8126 | -51.6626 | -0.4250 | 11.7704 | -12.6204 | -0.4246 | 0.0546 | -0.9039 | | | Present | 0.0872 | -47.1332 | 47.3076 | 0.0867 | -11.5509 | 11.7243 | 0.0865 | -0.3768 | 0.5499 | | | | -0.4252 | 52.1247 | -52.9752 | -0.4183 | 11.7060 | -12.5427 | -0.4161 | 0.0558 | -0.8880 |
| | | HOSNT [35] | 0.0877 | -32.4460 | 32.6220 | 0.0879 | -8.0425 | 8.2183 | 0.0878 | -0.2373 | 0.4130 | | | | -0.4175 | 186.4510 | -187.2890 | -0.4130 | 46.6489 | -47.4769 | -0.4111 | 1.4757 | -2.2979 | | | 3D [33] | 0.0867 | -31.3030 | 31.4763 | 0.0868 | -7.8872 | 8.0607 | 0.0868 | -0.2338 | 0.4074 | | | | -0.4212 | 185.7531 | -186.5955 | -0.4162 | 46.9151 | -47.7476 | -0.4146 | 1.4889 | -2.3181 | | | FEM [34] | 0.0885 | -31.8707 | 32.0478 | 0.0885 | -8.0314 | 8.2085 | 0.0885 | -0.2378 | 0.4147 | | | | -0.4233 | 190.3620 | -191.2086 | -0.4232 | 47.8967 | -48.7431 | -0.4229 | 1.5168 | -2.3626 | | | Present | 0.0874 | -31.4381 | 31.6129 | 0.0869 | -7.8865 | 8.0602 | 0.0867 | -0.2334 | 0.4068 | | | | -0.4236 | 188.7205 | -189.5677 | -0.4166 | 47.0638 | -47.8971 | -0.4144 | 1.4874 | -2.3162 |
| | | HOSNT [35] | -0.0462 | 21.2813 | 21.7741 | -0.0465 | 5.2540 | -5.3470 | -0.0465 | 0.1638 | -0.2568 | | | | 0.2239 | -62.8314 | 63.2801 | 0.2234 | -15.6605 | 16.1073 | 0.2231 | -0.4137 | 0.8600 | | | 3D [33] | -0.0466 | 21.4662 | -21.5594 | -0.0467 | 5.2583 | -5.3516 | -0.0467 | 0.1646 | -0.2579 | | | | 0.2249 | -62.8348 | 63.2847 | 0.2240 | -15.7140 | 16.1620 | 0.2237 | -0.4161 | 0.8634 | | | FEM [34] | -0.0476 | 21.4743 | -21.5695 | -0.0476 | 5.3330 | -5.4282 | -0.0476 | 0.1674 | -0.2626 | | | | 0.2282 | -64.9662 | 65.4226 | 0.2282 | -16.0699 | 16.5264 | 0.2282 | -0.4228 | 0.8791 | | | Present | -0.0468 | 21.1201 | -21.2138 | -0.0467 | 5.2341 | -5.3275 | -0.0467 | 0.1644 | -0.2578 | | | | 0.2232 | -64.4092 | 64.8557 | 0.2236 | -15.8057 | 16.2528 | 0.2237 | -0.4159 | 0.8632 |
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