Research Article
Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory
Table 3
Comparison of nondimensionalized critical buckling load (
) of simply supported Al/Al
2O
3 plate subjected to biaxial compression and tension
.
| Power-law index, | | | Source | 0 | 0.5 | 1 | 2 | 5 | 10 | 20 | 100 |
| 0.5 | 5 | [27] | 8.960 | 5.898 | 4.555 | 3.527 | 2.865 | 2.562 | 2.282 | 1.832 | Present | 8.953 | 5.879 | 4.525 | 3.487 | 2.833 | 2.545 | 2.274 | 1.829 | 10 | [27] | 9.874 | 6.428 | 4.948 | 3.853 | 3.222 | 2.200 | 2.585 | 2.033 | Present | 9.863 | 6.416 | 4.934 | 3.837 | 3.208 | 2.911 | 2.580 | 2.031 | 20 | [27] | 10.132 | 6.575 | 5.057 | 3.944 | 3.326 | 3.025 | 2.674 | 2.091 | Present | 10.120 | 6.566 | 5.049 | 3.936 | 3.319 | 3.020 | 2.670 | 2.089 | 50 | [27] | 10.207 | 6.618 | 5.089 | 3.971 | 3.356 | 3.056 | 2.700 | 2.108 | Present | 10.195 | 6.610 | 5.082 | 3.965 | 3.352 | 3.052 | 2.697 | 2.105 | 100 | [27] | 10.218 | 6.624 | 5.093 | 3.974 | 3.361 | 3.061 | 2.704 | 2.110 | Present | 10.206 | 6.616 | 5.087 | 3.969 | 3.356 | 3.057 | 2.700 | 2.108 |
| 1 | 5 | [27] | 26.20a | 17.77a | 13.84a | 10.55a | 7.95a | 6.89a | 6.23a | 5.25a | Present | 26.16a | 17.63a | 13.62a | 10.26a | 7.76a | 6.81a | 6.18a | 5.23a | 10 | [27] | 35.84a | 23.59b | 18.22a | 14.10a | 11.45a | 10.24a | 9.12a | 7.32a | Present | 35.71a | 23.45b | 18.04a | 13.90a | 11.30a | 10.15a | 9.07a | 7.297 | 20 | [27] | 39.49a | 25.71a | 19.79a | 15.41a | 12.88a | 11.67a | 10.34a | 8.13a | Present | 39.31a | 25.57a | 19.67a | 15.29a | 12.79a | 11.60a | 10.28a | 8.09a | 50 | [27] | 40.65a | 26.37a | 20.283 | 15.82a | 13.35a | 12.15a | 10.74a | 8.39b | Present | 40.46a | 26.24a | 20.179 | 15.73a | 13.28a | 12.09a | 10.68a | 8.35b | 100 | [27] | 40.82a | 26.47a | 20.35a | 15.88a | 13.42a | 12.22a | 10.79a | 8.43b | Present | 40.62a | 26.34a | 20.25a | 15.80a | 13.35a | 12.16a | 10.74a | 8.39b |
| 1.5 | 5 | [27] | 29.02b | 20.11b | 15.78b | 11.90b | 8.52b | 7.24b | 6.60b | 5.74b | Present | 28.97b | 19.92b | 15.45b | 11.47b | 8.29b | 7.15b | 6.54b | 5.72b | 10 | [27] | 37.982 | 24.878 | 19.186 | 14.893 | 12.252 | 11.020 | 9.791 | 7.789 | Present | 37.884 | 24.773 | 19.060 | 14.745 | 12.133 | 10.950 | 9.748 | 7.767 | 20 | [27] | 40.531 | 26.346 | 20.244 | 15.798 | 13.262 | 12.038 | 10.650 | 8.355 | Present | 40.408 | 26.255 | 20.190 | 15.718 | 13.194 | 11.988 | 10.612 | 8.329 | 50 | [27] | 41.308 | 26.789 | 20.601 | 16.072 | 13.575 | 12.358 | 10.919 | 8.529 | Present | 41.177 | 26.702 | 20.532 | 16.016 | 13.528 | 12.317 | 10.883 | 8.502 | 100 | [27] | 41.421 | 26.854 | 20.649 | 16.112 | 13.624 | 12.405 | 10.958 | 8.554 | Present | 41.289 | 26.768 | 20.582 | 16.059 | 13.577 | 12.365 | 10.923 | 8.527 |
| 2 | 5 | [27] | 26.206 | 17.770 | 13.849 | 10.559 | 7.959 | 6.897 | 6.232 | 5.256 | Present | 26.164 | 17.636 | 13.620 | 10.261 | 7.768 | 6.814 | 6.187 | 5.239 | 10 | [27] | 35.842 | 23.592 | 18.221 | 14.107 | 11.458 | 10.247 | 9.128 | 7.326 | Present | 35.715 | 23.451 | 18.050 | 13.909 | 11.303 | 10.159 | 9.073 | 7.297 | 20 | [27] | 39.495 | 25.710 | 19.793 | 15.412 | 12.888 | 11.678 | 10.340 | 8.134 | Present | 39.317 | 25.576 | 19.670 | 15.295 | 12.791 | 11.607 | 10.286 | 8.096 | 50 | [27] | 40.657 | 26.374 | 20.283 | 15.822 | 13.355 | 12.154 | 10.740 | 8.393 | Present | 40.460 | 26.243 | 20.179 | 15.737 | 13.284 | 12.092 | 10.687 | 8.352 | 100 | [27] | 40.829 | 26.472 | 20.355 | 15.882 | 13.425 | 12.226 | 10.800 | 8.432 | Present | 40.629 | 26.341 | 20.254 | 15.803 | 13.358 | 12.165 | 10.747 | 8.390 |
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Mode for plate is () = (2, 1).
bMode for plate is () = (1, 2).
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