Research Article
Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory
Table 1
Comparison of nondimensionalized critical buckling load (
) of simply supported Al/Al
2O
3 plate subjected to uniaxial compression along the
-axis
.
| Power-law index, | | | Source | 0 | 0.5 | 1 | 2 | 5 | 10 | 20 | 100 |
| 0.5 | 5 | [27] | 6.7203 | 4.4235 | 3.4164 | 2.6451 | 2.1484 | 1.9213 | 1.7115 | 1.3737 | Present | 6.714 | 4.409 | 3.39 | 2.61 | 2.124 | 1.90 | 1.705 | 1.371 | 10 | [27] | 7.405 | 4.82 | 3.71 | 2.88 | 2.41 | 2.18 | 1.93 | 1.52 | Present | 7.397 | 4.81 | 3.70 | 2.87 | 2.40 | 2.18 | 1.93 | 1.5231 | 20 | [27] | 7.599 | 4.93 | 3.79 | 2.95 | 2.49 | 2.26 | 2.00 | 1.56 | Present | 7.590 | 4.924 | 3.78 | 2.95 | 2.48 | 2.26 | 2.00 | 1.56 | 50 | [27] | 7.65 | 4.96 | 3.81 | 2.97 | 2.51 | 2.29 | 2.025 | 1.58 | Present | 7.64 | 4.95 | 3.81 | 2.973 | 2.51 | 2.28 | 2.02 | 1.57 | 100 | [27] | 7.66 | 4.968 | 3.82 | 2.98 | 2.52 | 2.29 | 2.028 | 1.58 | Present | 7.65 | 4.96 | 3.81 | 2.97 | 2.51 | 2.292 | 2.02 | 1.58 |
| 1 | 5 | [27] | 16.02 | 10.62 | 8.22 | 6.34 | 5.05 | 4.48 | 4.00 | 3.25 | Present | 16.00 | 10.57 | 8.146 | 6.23 | 4.97 | 4.44 | 3.98 | 3.25 | 10 | [27] | 18.57 | 12.12 | 9.33 | 7.26 | 6.03 | 5.45 | 4.83 | 3.81 | Present | 18.54 | 12.08 | 9.299 | 7.21 | 5.99 | 5.42 | 4.82 | 3.81 | 20 | [27] | 19.35 | 12.56 | 9.66 | 7.53 | 6.34 | 5.76 | 5.09 | 3.99 | Present | 19.31 | 12.53 | 9.649 | 7.51 | 6.32 | 5.75 | 5.08 | 3.98 | 50 | [27] | 19.58 | 12.69 | 9.763 | 7.61 | 6.43 | 5.8 | 5.17 | 4.04 | Present | 19.54 | 12.67 | 9.743 | 7.601 | 6.42 | 5.84 | 5.16 | 4.03 | 100 | [27] | 19.61 | 12.71 | 9.77 | 7.62 | 6.45 | 5.87 | 5.18 | 4.05 | Present | 19.57 | 12.69 | 9.75 | 7.61 | 6.43 | 5.86 | 5.17 | 4.04 |
| 1.5 | 5 | [27] | 28.19a | 19.25a | 15.03a | 7.61a | 8.47a | 7.29a | 6.61a | 5.63a | Present | 28.15a | 19.09a | 14.76a | 11.06 | 8.25a | 7.20a | 6.56a | 5.612a | 10 | [27] | 40.74a | 26.90a | 20.80a | 16.07a | 12.95a | 11.53a | 10.29a | 8.31a | Present | 40.58a | 26.72a | 20.57a | 15.81a | 12.74a | 11.42a | 10.22a | 8.27a | 20 | [27] | 45.89a | 29.90a | 23.02a | 17.92a | 14.94a | 13.52a | 11.98a | 9.44a | Present | 45.64a | 29.71a | 22.85a | 17.75a | 14.81a | 13.425a | 11.90a | 9.39a | 50 | [27] | 47.57a | 30.86a | 23.74a | 18.51a | 15.628a | 14.21a | 12.56a | 9.82a | Present | 47.29a | 30.67a | 23.59a | 18.39a | 15.51a | 14.12a | 12.48a | 9.76a | 100 | [27] | 47.82a | 31.01a | 23.84a | 18.60a | 15.72a | 14.31a | 12.65a | 9.87a | Present | 47.53a | 30.82a | 23.69a | 18.48a | 15.62a | 14.23a | 12.57a | 9.81a |
| 2 | 5 | [27] | 37.74b | 26.36b | 20.74b | 15.58b | 10.95b | 9.15c | 8.39c | 7.44b | Present | 37.67b | 26.11b | 20.29b | 14.99b | 10.65b | 9.04c | 8.317c | 7.40b | 10 | [27] | 64.08a | 42.50a | 32.89a | 25.37a | 20.21a | 17.92a | 16.02a | 13.03a | Present | 63.78a | 42.14a | 32.46a | 24.86a | 19.84a | 17.72a | 15.90a | 12.96a | 20 | [27] | 74.3a | 48.49a | 37.35a | 29.05a | 24.14a | 21.81a | 19.33a | 15.27a | Present | 73.80a | 48.10a | 37.00a | 28.71a | 23.86a | 21.61a | 19.18a | 15.17a | 50 | [27] | 77.80a | 50.48a | 38.83a | 30.28a | 25.53a | 23.27a | 20.53a | 16.05a | Present | 77.20a | 50.09a | 38.51a | 30.02a | 25.32a | 23.04a | 20.36a | 15.93a | 100 | [27] | 78.32a | 50.78a | 39.05a | 30.47a | 25.74a | 23.45a | 20.71a | 16.17a | Present | 77.71a | 50.38a | 38.74a | 30.22a | 25.54a | 23.26a | 20.55a | 16.04a |
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Mode for plate is () = (2, 1).
bMode for plate is () = (3, 1).
cMode for plate is () = (4, 1).
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