Research Article
Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory
Table 2
Comparison of nondimensionalized critical buckling load (
) of simply supported Al/Al
2O
3 plate subjected to biaxial compression
.
| Power-law index, | | | Source | 0 | 0.5 | 1 | 2 | 5 | 10 | 20 | 100 |
| 0.5 | 5 | [27] | 5.376 | 3.539 | 2.733 | 2.116 | 1.719 | 1.537 | 1.369 | 1.099 | Present | 5.371 | 3.527 | 2.715 | 2.092 | 1.700 | 1.527 | 1.364 | 1.097 | 10 | [27] | 5.926 | 3.857 | 2.969 | 2.312 | 1.933 | 1.752 | 1.551 | 1.220 | Present | 5.918 | 3.850 | 2.961 | 2.302 | 1.925 | 1.747 | 1.548 | 1.218 | 20 | [27] | 6.079 | 3.857 | 3.034 | 2.367 | 1.996 | 1.815 | 1.604 | 1.255 | Present | 6.072 | 3.940 | 3.029 | 2.362 | 1.991 | 1.812 | 1.602 | 1.253 | 50 | [27] | 6.124 | 3.971 | 3.053 | 2.382 | 2.014 | 1.834 | 1.620 | 1.265 | Present | 6.117 | 3.966 | 3.049 | 2.379 | 2.011 | 1.831 | 1.618 | 1.263 | 100 | [27] | 6.131 | 3.974 | 3.056 | 2.385 | 2.016 | 1.837 | 1.622 | 1.266 | Present | 6.123 | 3.970 | 3.052 | 2.382 | 2.014 | 1.834 | 1.620 | 1.265 |
| 1 | 5 | [27] | 8.011 | 5.313 | 4.112 | 3.172 | 2.527 | 2.240 | 2.004 | 1.629 | Present | 8.001 | 5.288 | 4.073 | 3.120 | 2.487 | 2.221 | 1.994 | 1.626 | 10 | [27] | 9.289 | 6.062 | 4.670 | 3.632 | 3.018 | 2.726 | 2.417 | 1.910 | Present | 9.273 | 6.045 | 4.650 | 3.608 | 2.998 | 2.715 | 2.410 | 1.906 | 20 | [27] | 9.676 | 6.283 | 4.834 | 3.769 | 3.172 | 2.883 | 2.549 | 1.996 | Present | 9.658 | 6.270 | 4.821 | 3.757 | 3.162 | 2.876 | 2.544 | 1.992 | 50 | [27] | 9.791 | 6.349 | 4.882 | 3.809 | 3.219 | 2.931 | 2.589 | 2.217 | Present | 9.772 | 6.336 | 4.872 | 3.801 | 3.212 | 2.925 | 2.584 | 2.018 | 100 | [27] | 9.807 | 6.358 | 4.889 | 3.815 | 3.225 | 2.938 | 2.595 | 2.025 | Present | 9.788 | 6.345 | 4.879 | 3.807 | 3.219 | 2.932 | 2.590 | 2.021 |
| 1.5 | 5 | [27] | 11.682 | 7.830 | 6.080 | 4.664 | 3.618 | 3.172 | 2.851 | 2.360 | Present | 11.665 | 7.782 | 6.000 | 4.559 | 3.544 | 3.138 | 2.833 | 2.354 | 10 | [27] | 14.608 | 9.569 | 7.379 | 5.728 | 4.712 | 4.238 | 3.766 | 2.996 | Present | 14.571 | 9.528 | 7.331 | 5.671 | 4.666 | 4.212 | 3.749 | 2.987 | 20 | [27] | 15.589 | 10.133 | 7.798 | 6.076 | 5.101 | 4.630 | 4.096 | 3.214 | Present | 15.542 | 10.098 | 7.766 | 6.046 | 5.075 | 4.611 | 4.082 | 3.203 | 50 | [27] | 15.888 | 10.336 | 7.924 | 6.182 | 5.221 | 4.753 | 4.200 | 3.280 | Present | 15.837 | 10.270 | 7.897 | 6.160 | 5.203 | 4.737 | 4.186 | 3.270 | 100 | [27] | 15.931 | 10.328 | 7.942 | 6.197 | 5.239 | 4.771 | 4.215 | 3.290 | Present | 15.880 | 10.295 | 7.916 | 6.177 | 5.222 | 4.756 | 4.201 | 3.280 |
| 2 | 5 | [27] | 15.724 | 10.662 | 8.309 | 6.335 | 4.775 | 4.138 | 3.739 | 3.153 | Present | 15.698 | 10.581 | 8.172 | 6.156 | 4.661 | 4.088 | 3.712 | 3.143 | 10 | [27] | 21.505 | 14.155 | 10.932 | 8.464 | 6.875 | 6.148 | 5.477 | 4.396 | Present | 21.429 | 14.071 | 10.830 | 8.345 | 6.782 | 6.095 | 5.444 | 4.378 | 20 | [27] | 23.697 | 15.426 | 11.875 | 9.247 | 7.737 | 7.007 | 6.204 | 4.888 | Present | 23.590 | 15.346 | 11.802 | 9.177 | 7.674 | 6.964 | 6.171 | 4.858 | 50 | [27] | 24.394 | 15.824 | 12.170 | 9.493 | 8.013 | 7.293 | 6.444 | 5.036 | Present | 24.276 | 15.746 | 12.108 | 9.442 | 7.970 | 7.255 | 6.412 | 5.011 | 100 | [27] | 24.497 | 15.883 | 12.213 | 9.529 | 8.055 | 7.335 | 6.480 | 5.059 | Present | 24.378 | 15.805 | 12.153 | 9.482 | 8.015 | 7.299 | 6.448 | 5.034 |
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