Research Article
Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer
Table 1
Results of the FG plate
attached to the PFRC layer on the top 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] | -0.9575 | 187.8140 | -189.7290 | -0.9251 | 45.5336 | -47.3839 | -0.9147 | 0.9342 | -2.7635 | | | 3D [33] | -0.9553 | 186.8222 | -188.7329 | -0.9252 | 45.5393 | -47.3897 | -0.9155 | 0.9368 | -2.7678 | | | FEM [34] | -0.9485 | 183.9178 | -185.8148 | -0.9233 | 45.2938 | -47.1403 | -0.9145 | 0.9328 | -2.7619 | | | Present | -0.9544 | 187.6270 | -189.5358 | -0.9249 | 45.5708 | -47.4207 | -0.9155 | 0.9360 | -2.7669 |
| | | HOSNT [35] | -0.0194 | -0.0233 | -0.0156 | -0.0195 | -0.0340 | -0.0049 | -0.0195 | -0.0202 | -0.0187 | | | | 0.0093 | -5.9832 | 6.0018 | 0.0093 | -1.4685 | 1.4870 | 0.0092 | -0.0496 | 0.0681 | | | 3D [33] | -0.0194 | -0.0307 | -0.0081 | -0.0195 | -0.0337 | -0.0053 | -0.0195 | -0.0202 | -0.0188 | | | | 0.0093 | -5.9373 | 5.9558 | 0.0093 | -1.4670 | 1.4855 | 0.0093 | -0.0497 | 0.0682 | | | FEM [34] | -0.0195 | 0.0459 | -0.0849 | -0.0195 | -0.0297 | -0.0093 | -0.0195 | -0.0202 | -0.0187 | | | | 0.0093 | -5.9402 | 5.9588 | 0.0093 | -1.4655 | 1.4840 | 0.0093 | -0.0496 | 0.0681 | | | Present | -0.0196 | 0.0672 | -0.1063 | -0.0195 | -0.0276 | -0.0114 | -0.0195 | -0.0202 | -0.0188 | | | | 0.0092 | -5.9753 | 5.9938 | 0.0093 | -1.4688 | 1.4874 | 0.0093 | -0.0496 | 0.0682 |
| | HOSNT [35] | 0.0873 | -5.9143 | 6.0891 | 0.0873 | -1.3682 | 1.5427 | 0.0872 | 0.0296 | 0.1448 | | | | -0.4247 | 206.3480 | -207.1980 | -0.4191 | 50.5808 | -51.4189 | -0.4172 | 1.6138 | -2.4483 | | | 3D [33] | 0.0871 | -5.8052 | 5.9794 | 0.0873 | -1.3742 | 1.5489 | 0.0874 | 0.0291 | 0.1457 | | | | -0.4201 | 203.9840 | -204.8249 | -0.4171 | 50.3911 | -51.2253 | -0.4161 | 1.6124 | -2.4446 | | | FEM [34] | 0.0893 | -6.1985 | 6.3772 | 0.0893 | -1.4170 | 1.5427 | 0.0893 | 0.0299 | 0.1486 | | | | -0.4250 | 208.1964 | -209.0447 | -0.4250 | 51.4183 | -51.4189 | -0.4247 | 1.6447 | -2.4941 | | | Present | 0.0881 | -6.2363 | 6.4124 | 0.0876 | -1.3995 | 1.5747 | 0.0874 | 0.0291 | 0.1457 | | | | -0.4252 | 206.0779 | -206.9283 | -0.4182 | 50.4945 | -51.3309 | -0.4160 | 1.6113 | -2.4434 |
| | | HOSNT [35] | 0.0873 | -19.8310 | 20.0051 | 0.0872 | -4.9293 | 5.1036 | 0.0871 | -0.1140 | 0.2882 | | | | -0.4256 | 59.2543 | -60.1056 | -0.4199 | 14.4701 | -15.3100 | -0.4181 | 0.1771 | -1.0134 | | | 3D [33] | 0.0870 | -19.6720 | 19.8460 | 0.0872 | -4.9333 | 5.1078 | 0.0873 | -0.1145 | 0.2892 | | | | -0.4213 | 57.9752 | -58.8187 | -0.4180 | 14.3338 | -15.1698 | -0.4170 | 0.1751 | -1.0090 | | | FEM [34] | 0.0893 | -20.1638 | 20.3424 | 0.0893 | -5.0400 | 5.2185 | 0.0892 | -0.1167 | 0.2951 | | | | -0.4260 | 58.2432 | -59.0951 | -0.4259 | 14.5560 | -15.4079 | -0.4256 | 0.1772 | -1.0283 | | | Present | 0.0880 | -19.9654 | 20.1414 | 0.0875 | -4.9489 | 5.1239 | 0.0873 | -0.1144 | 0.2891 | | | | -0.4261 | 59.1653 | -60.0174 | -0.4191 | 14.3937 | -15.2319 | -0.4169 | 0.1746 | -1.0083 |
| | | HOSNT [35] | -0.0469 | 6.9021 | -6.9960 | -0.0470 | 1.6983 | -1.7923 | -0.0470 | 0.0229 | -0.1169 | | | | 0.2251 | -71.0439 | 71.4941 | 0.2242 | -17.4332 | 17.8816 | 0.2239 | -0.4803 | 0.9281 | | | 3D [33] | -0.0469 | 6.8593 | -6.9530 | -0.0470 | 1.6982 | -1.7922 | -0.0470 | 0.0230 | -0.1171 | | | | 0.2242 | -70.4771 | 70.9256 | 0.2243 | -17.4232 | 17.8717 | 0.2243 | -0.4813 | 0.9298 | | | FEM [34] | -0.0481 | 7.1027 | -7.1989 | -0.0481 | 1.7394 | -1.8356 | 0.0480 | 0.0233 | -0.1194 | | | | 0.2290 | -71.7882 | 72.7882 | 0.2290 | -17.7746 | 18.2326 | 0.2289 | -0.4907 | 0.9486 | | | Present | -0.0472 | 7.0270 | -7.1215 | -0.0471 | 1.7079 | -1.8021 | -0.0470 | 0.0230 | -0.1171 | | | | 0.2239 | -70.9436 | 71.3913 | 0.2242 | -17.4457 | 17.8940 | 0.2242 | -0.4810 | 0.9295 |
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