Research Article
Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer
Table 2
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] | -8.6140 | 3164.12 | -3181.35 | -8.3577 | 790.3310 | -807.0460 | -8.2750 | 23.7481 | -40.2981 | | | 3D [33] | -8.7397 | 3253.30 | -3270.80 | -8.5437 | 813.7105 | -830.7979 | -8.4806 | 23.9160 | -40.5745 | | | FEM [34] | -8.6673 | 3212.90 | -3230.30 | -8.4154 | 797.9455 | -814.7764 | -8.3292 | 24.4974 | -41.4587 | | | Present | -8.7085 | 3299.60 | -3317.01 | -8.5275 | 815.3451 | -832.4000 | -8.4698 | 24.4438 | -41.3835 |
| | | HOSNT [35] | -0.0905 | -3.8486 | 3.6674 | -0.0899 | -1.1482 | 0.9883 | -0.0897 | -0.1336 | -0.0458 | | | | 0.1653 | -112.9800 | 113.3110 | 0.1689 | -26.5921 | 26.9299 | 0.1701 | -0.8807 | 1.2209 | | | 3D [33] | -0.0914 | -3.1845 | 3.0017 | -0.0912 | -0.9839 | 0.8015 | -0.0912 | -0.1285 | -0.0539 | | | | 0.1686 | -114.0117 | 114.3489 | 0.1735 | -27.0971 | 27.4441 | 0.1750 | -0.8991 | 1.2493 | | | FEM [34] | -0.0901 | -3.0418 | 2.8616 | -0.0902 | -1.0641 | 0.8838 | -0.0901 | -0.1322 | -0.0480 | | | | 0.1714 | -107.7880 | 108.1308 | 0.1716 | -26.3653 | 26.7085 | 0.1715 | -0.8840 | 1.2270 | | | Present | -0.0910 | -2.3375 | 2.1555 | -0.0911 | -0.9344 | 0.7522 | -0.0911 | -0.1285 | -0.0537 | | | | 0.1703 | -109.6641 | 110.0046 | 0.1737 | -26.7836 | 27.1311 | 0.1748 | -0.8969 | 1.2466 |
| | | HOSNT [35] | 0.3908 | -33.7320 | 34.5138 | 0.3848 | -7.7446 | 8.5744 | 0.3829 | 0.0628 | 0.7031 | | | | -0.0848 | 47.3070 | -47.4767 | -0.0846 | 11.2600 | -11.4293 | -0.0845 | 0.3627 | -0.5319 | | | 3D [33] | 0.4042 | -41.0915 | 41.8999 | 0.4031 | -9.8557 | 10.6619 | 0.4027 | -0.0061 | 0.8115 | | | | -0.0807 | 44.3075 | -44.4689 | -0.0796 | 10.6491 | -10.8083 | -0.0793 | 0.3451 | -0.5036 | | | FEM [34] | 0.4066 | -42.1225 | 42.9357 | 0.4068 | -9.6579 | 10.4715 | 0.4066 | 0.0199 | 0.8013 | | | | -0.0793 | 43.0275 | -43.1862 | -0.0794 | 10.5905 | -10.7493 | -0.0793 | 0.3460 | -0.5046 | | | Present | 0.4083 | -44.3395 | 45.1561 | 0.4027 | -9.8812 | 10.6866 | 0.4009 | 0.0013 | 0.8006 | | | | -0.0804 | 42.7266 | -42.8874 | -0.0791 | 10.4844 | -10.6425 | -0.0786 | 0.3421 | -0.4994 |
| | | HOSNT [35] | 0.3763 | -163.0770 | 163.8300 | 0.3697 | -41.0169 | 41.7565 | 0.3676 | -1.2950 | 2.0302 | | | | -0.0866 | 30.8163 | -30.9899 | -0.0862 | 7.7083 | -7.8808 | -0.0861 | 0.2267 | -0.3989 | | | 3D [33] | 0.3900 | -170.3199 | 171.0999 | 0.3883 | -43.1562 | 43.9327 | 0.3877 | -1.3654 | 2.1408 | | | | -0.0825 | 28.1032 | -28.2681 | -0.0812 | 7.1105 | -7.2729 | -0.0808 | 0.2088 | -0.3704 | | | FEM [34] | 0.3916 | -172.9020 | 173.6851 | 0.3913 | -43.5671 | 44.3496 | 0.3909 | -1.3748 | 2.1565 | | | | -0.0810 | 28.0609 | -28.2229 | -0.0810 | 7.0834 | -7.2453 | -0.0809 | 0.2072 | -0.3689 | | | Present | 0.3940 | -172.3681 | 173.1561 | 0.3877 | -43.0789 | 43.8543 | 0.3857 | -1.3566 | 2.1280 | | | | -0.0820 | 28.0188 | -28.1828 | -0.0806 | 7.0440 | -7.2052 | -0.0802 | 0.2061 | -0.3664 |
| | HOSNT [35] | -0.2116 | 55.3721 | -55.7955 | -0.2098 | 13.8615 | -14.2811 | -0.2091 | 0.3560 | -0.7743 | | | | 0.0408 | -19.0577 | 19.1394 | 0.0416 | -4.6504 | 4.7336 | 0.0418 | -0.1448 | 0.2285 | | | 3D [33] | -0.2138 | 56.9184 | -57.3461 | -0.2131 | 14.2724 | -14.6986 | -0.2128 | 0.3692 | -0.7948 | | | | 0.0416 | -19.4500 | 19.5333 | 0.0427 | -4.7790 | 4.8645 | 0.0431 | -0.1491 | 0.2353 | | | FEM [34] | -0.2148 | 57.9332 | -58.3627 | -0.2148 | 14.3377 | -14.7673 | -0.2147 | 0.3667 | -0.7962 | | | | 0.0431 | -19.1536 | 19.2399 | 0.0431 | -4.7614 | 4.8477 | 0.0431 | -0.1489 | 0.2352 | | | Present | -0.2127 | 58.3656 | -58.7911 | -0.2126 | 14.3408 | -14.7661 | -0.2126 | 0.3684 | -0.7936 | | | | 0.0420 | -19.1476 | 19.2315 | 0.0428 | -4.7524 | 4.8379 | 0.0430 | -0.1488 | 0.2348 |
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