Figure 1.
FG spherical shell geometry.
Figure 1.
FG spherical shell geometry.
Figure 2.
Five schemes of coated FG shell .
Figure 2.
Five schemes of coated FG shell .
Figure 3.
Functionally graded material distribution.
Figure 3.
Functionally graded material distribution.
Figure 4.
The proportion of ceramic (%) in various types of FG structures .
Figure 4.
The proportion of ceramic (%) in various types of FG structures .
Figure 5.
Dimensionless critical buckling load of FG shells for various material exponents p, k, and e.
Figure 5.
Dimensionless critical buckling load of FG shells for various material exponents p, k, and e.
Figure 6.
Dimensionless critical buckling load of FG shells versus radius of curvature ratio .
Figure 6.
Dimensionless critical buckling load of FG shells versus radius of curvature ratio .
Figure 7.
Effect of the shell geometry on the dimensionless critical buckling load of coated FG shells .
Figure 7.
Effect of the shell geometry on the dimensionless critical buckling load of coated FG shells .
Figure 8.
Effect of the intensity of the applied load on the dimensionless critical buckling load of FG shells .
Figure 8.
Effect of the intensity of the applied load on the dimensionless critical buckling load of FG shells .
Figure 9.
Effect of the intensity of the applied load on the dimensionless critical buckling load of tricoated FG-A shells for various boundary conditions .
Figure 9.
Effect of the intensity of the applied load on the dimensionless critical buckling load of tricoated FG-A shells for various boundary conditions .
Figure 10.
Effect of the nonlocal and length-scale parameters on the dimensionless critical buckling load of FG nanoshells .
Figure 10.
Effect of the nonlocal and length-scale parameters on the dimensionless critical buckling load of FG nanoshells .
Figure 11.
Effect of the nonlocal and length-scale parameters for various boundary conditions .
Figure 11.
Effect of the nonlocal and length-scale parameters for various boundary conditions .
Figure 12.
Effect of the orthotropic elastic foundation on the dimensionless critical buckling load of coated FG shells .
Figure 12.
Effect of the orthotropic elastic foundation on the dimensionless critical buckling load of coated FG shells .
Figure 13.
Effect of the orthotropic elastic foundation for various aspect ratios b/a.
Figure 13.
Effect of the orthotropic elastic foundation for various aspect ratios b/a.
Figure 14.
Effect of the orthotropic elastic foundation parameters and for various aspect ratios b/a.
Figure 14.
Effect of the orthotropic elastic foundation parameters and for various aspect ratios b/a.
Figure 15.
Effect of the orthotropic elastic foundation parameters and for various values of load intensity .
Figure 15.
Effect of the orthotropic elastic foundation parameters and for various values of load intensity .
Table 1.
The admissible functions and for different boundary conditions.
Table 1.
The admissible functions and for different boundary conditions.
| Boundary Conditions | |
---|
| At | At | | |
SSSS |
|
| | |
CCCC |
|
| | |
CCSS |
|
| | |
Table 2.
Comparison of the dimensionless critical buckling loads for simply supported Al2O3 ceramic plates ( and ).
Table 2.
Comparison of the dimensionless critical buckling loads for simply supported Al2O3 ceramic plates ( and ).
| Theories | |
---|
| | | | |
---|
0.5 | Thai and Choi [35] | 5.3762 | 5.9243 | 6.0794 | 6.1244 | 6.1308 |
Present | 5.3774 | 5.9246 | 6.0795 | 6.1244 | 6.1308 |
1 | Thai and Choi [35] | 8.0105 | 9.2893 | 9.6764 | 9.7907 | 9.8073 |
Present | 8.0135 | 9.2900 | 9.6766 | 9.7907 | 9.8073 |
1.5 | Thai and Choi [35] | 11.6820 | 14.6084 | 15.5887 | 15.8876 | 15.9312 |
Present | 11.6895 | 14.6105 | 15.5892 | 15.8876 | 15.9312 |
2 | Thai and Choi [35] | 15.7235 | 21.5050 | 23.6970 | 24.3944 | 24.4974 |
Present | 15.7400 | 21.5097 | 23.6983 | 24.3946 | 24.4975 |
Table 3.
Dimensionless critical buckling load of FG shells versus exponents , , and
Table 3.
Dimensionless critical buckling load of FG shells versus exponents , , and
| | | | |
---|
FG-A | FG-B | FG-C | FG-D | FG-E | FG-A | FG- B | FG-C | FG-D | FG-E |
2 | 2 | 2 | 2.5031 | 3.9768 | 3.0811 | 3.9472 | 5.2953 | 6.0809 | 4.6360 | 5.4681 | 4.4814 | 3.3175 |
5 | 2.7922 | 4.6360 | 3.0811 | 3.9472 | 5.2953 | 5.7767 | 3.9768 | 5.4681 | 4.4814 | 3.3175 |
10 | 2.9235 | 4.9357 | 3.0811 | 3.9472 | 5.2953 | 5.6371 | 3.6771 | 5.4681 | 4.4814 | 3.3175 |
5 | 2 | 2.7922 | 4.6360 | 3.5142 | 3.9472 | 6.2842 | 5.7767 | 3.9768 | 4.9913 | 4.4814 | 2.3287 |
5 | 3.1533 | 5.4601 | 3.5142 | 3.9472 | 6.2842 | 5.3900 | 3.1527 | 4.9913 | 4.4814 | 2.3287 |
10 | 3.3174 | 5.8347 | 3.5142 | 3.9472 | 6.2842 | 5.2107 | 2.7781 | 4.9913 | 4.4814 | 2.3287 |
10 | 2 | 2.9235 | 4.9357 | 3.7110 | 3.9472 | 6.7337 | 5.6371 | 3.6771 | 4.7655 | 4.4814 | 1.8792 |
5 | 3.3174 | 5.8347 | 3.7110 | 3.9472 | 6.7337 | 5.2107 | 2.7781 | 4.7655 | 4.4814 | 1.8792 |
10 | 3.4963 | 6.2433 | 3.7110 | 3.9472 | 6.7337 | 5.0115 | 2.3695 | 4.7655 | 4.4814 | 1.8792 |
5 | 2 | 2 | 3.0731 | 3.9768 | 3.9382 | 5.2354 | 5.2953 | 5.5250 | 4.6360 | 4.6407 | 3.2550 | 3.3175 |
5 | 3.5057 | 4.6360 | 3.9382 | 5.2354 | 5.2953 | 5.0844 | 3.9768 | 4.6407 | 3.2550 | 3.3175 |
10 | 3.7023 | 4.9357 | 3.9382 | 5.2354 | 5.2953 | 4.8832 | 3.6771 | 4.6407 | 3.2550 | 3.3175 |
5 | 2 | 3.5057 | 4.6360 | 4.5869 | 5.2354 | 6.2842 | 5.0844 | 3.9768 | 3.9645 | 3.2550 | 2.3287 |
5 | 4.0463 | 5.4601 | 4.5869 | 5.2354 | 6.2842 | 4.5291 | 3.1527 | 3.9645 | 3.2550 | 2.3287 |
10 | 4.2920 | 5.8347 | 4.5869 | 5.2354 | 6.2842 | 4.2741 | 2.7781 | 3.9645 | 3.2550 | 2.3287 |
10 | 2 | 3.7023 | 4.9357 | 4.8817 | 5.2354 | 6.7337 | 4.8832 | 3.6771 | 3.6488 | 3.2550 | 1.8792 |
5 | 4.2920 | 5.8347 | 4.8817 | 5.2354 | 6.7337 | 4.2741 | 2.7781 | 3.6488 | 3.2550 | 1.8792 |
10 | 4.5601 | 6.2433 | 4.8817 | 5.2354 | 6.7337 | 3.9928 | 2.3695 | 3.6488 | 3.2550 | 1.8792 |
10 | 2 | 2 | 3.4254 | 3.9768 | 4.4676 | 6.0308 | 5.2953 | 5.1816 | 4.6360 | 4.1316 | 2.5294 | 3.3175 |
5 | 3.9465 | 4.6360 | 4.4676 | 6.0308 | 5.2953 | 4.6573 | 3.9768 | 4.1316 | 2.5294 | 3.3175 |
10 | 4.1834 | 4.9357 | 4.4676 | 6.0308 | 5.2953 | 4.4185 | 3.6771 | 4.1316 | 2.5294 | 3.3175 |
5 | 2 | 3.9465 | 4.6360 | 5.2492 | 6.0308 | 6.2842 | 4.6573 | 3.9768 | 3.3385 | 2.5294 | 2.3287 |
5 | 4.5979 | 5.4601 | 5.2492 | 6.0308 | 6.2842 | 3.9999 | 3.1527 | 3.3385 | 2.5294 | 2.3287 |
10 | 4.8940 | 5.8347 | 5.2492 | 6.0308 | 6.2842 | 3.7000 | 2.7781 | 3.3385 | 2.5294 | 2.3287 |
10 | 2 | 4.1834 | 4.9357 | 5.6045 | 6.0308 | 6.7337 | 4.4185 | 3.6771 | 2.9741 | 2.5294 | 1.8792 |
5 | 4.8940 | 5.8347 | 5.6045 | 6.0308 | 6.7337 | 3.7000 | 2.7781 | 2.9741 | 2.5294 | 1.8792 |
10 | 5.2169 | 6.2433 | 5.6045 | 6.0308 | 6.7337 | 3.3714 | 2.3695 | 2.9741 | 2.5294 | 1.8792 |
Table 4.
Dimensionless critical buckling load of FG shells for various radii of curvature .
Table 4.
Dimensionless critical buckling load of FG shells for various radii of curvature .
| | | |
---|
FG-A | FG-B | FG-C | FG-D | FG-E | FG-A | FG-B | FG-C | FG-D | FG-E |
---|
5 | 2 | 2.5031 | 3.9768 | 3.0811 | 3.9472 | 5.2953 | 6.0809 | 4.6360 | 5.4681 | 4.4814 | 3.3175 |
5 | 4.0463 | 5.4601 | 4.5869 | 5.2354 | 6.2842 | 4.5291 | 3.1527 | 3.9645 | 3.2550 | 2.3287 |
10 | 5.2169 | 6.2433 | 5.6045 | 6.0308 | 6.7337 | 3.3714 | 2.3695 | 2.9741 | 2.5294 | 1.8792 |
10 | 2 | 2.2571 | 3.6610 | 2.7653 | 3.5267 | 4.8748 | 5.6429 | 4.2679 | 5.1000 | 4.2180 | 3.0541 |
5 | 3.6673 | 5.0265 | 4.1533 | 4.7364 | 5.7852 | 4.2242 | 2.9024 | 3.7141 | 3.0701 | 2.1437 |
10 | 4.7566 | 5.7476 | 5.1087 | 5.4961 | 6.1990 | 3.1479 | 2.1814 | 2.7859 | 2.3802 | 1.7299 |
20 | 2 | 2.1956 | 3.5821 | 2.6864 | 3.4216 | 4.7697 | 5.5335 | 4.1759 | 5.0079 | 4.1521 | 2.9882 |
5 | 3.5725 | 4.9181 | 4.0449 | 4.6117 | 5.6604 | 4.1480 | 2.8398 | 3.6515 | 3.0239 | 2.0975 |
10 | 4.6415 | 5.6236 | 4.9848 | 5.3624 | 6.0653 | 3.0920 | 2.1343 | 2.7389 | 2.3429 | 1.6926 |
50 | 2 | 2.1784 | 3.5600 | 2.6643 | 3.3921 | 4.7403 | 5.5028 | 4.1501 | 4.9822 | 4.1337 | 2.9698 |
5 | 3.5460 | 4.8878 | 4.0145 | 4.5768 | 5.6255 | 4.1267 | 2.8223 | 3.6340 | 3.0109 | 2.0846 |
10 | 4.6093 | 5.5889 | 4.9501 | 5.3250 | 6.0279 | 3.0763 | 2.1212 | 2.7257 | 2.3324 | 1.6822 |
Inf. | 2 | 2.1751 | 3.5557 | 2.6600 | 3.3865 | 4.7347 | 5.4970 | 4.1452 | 4.9772 | 4.1301 | 2.9663 |
5 | 3.5409 | 4.8820 | 4.0088 | 4.5701 | 5.6188 | 4.1226 | 2.8189 | 3.6307 | 3.0085 | 2.0821 |
10 | 4.6031 | 5.5823 | 4.9435 | 5.3179 | 6.0207 | 3.0734 | 2.1186 | 2.7232 | 2.3304 | 1.6802 |
Table 5.
Dimensionless critical buckling load of FG shells versus the aspect and the thickness ratios .
Table 5.
Dimensionless critical buckling load of FG shells versus the aspect and the thickness ratios .
| | | |
---|
FG-A | FG-B | FG-C | FG-D | FG-E | FG-A | FG-B | FG-C | FG-D | FG-E |
---|
5 | 0.5 | 2.0494 | 3.0425 | 2.5433 | 3.2787 | 4.0513 | 4.4176 | 3.5469 | 3.7871 | 2.6684 | 2.5382 |
1 | 2.0338 | 3.1724 | 2.5059 | 3.2113 | 4.2242 | 4.7605 | 3.6983 | 4.1995 | 3.2154 | 2.6465 |
2 | 2.6661 | 4.2377 | 3.2758 | 4.1878 | 5.6427 | 6.4389 | 4.9402 | 5.7433 | 4.5493 | 3.5352 |
3 | 3.5344 | 5.6555 | 4.3373 | 5.5385 | 7.5306 | 8.6245 | 6.5931 | 7.7154 | 6.1625 | 4.7180 |
10 | 0.5 | 2.6661 | 4.2377 | 3.2758 | 4.1878 | 5.6427 | 6.4389 | 4.9402 | 5.7433 | 4.5493 | 3.5352 |
1 | 2.5031 | 3.9768 | 3.0811 | 3.9472 | 5.2953 | 6.0809 | 4.6360 | 5.4681 | 4.4814 | 3.3175 |
2 | 3.1362 | 5.0203 | 3.8557 | 4.9341 | 6.6848 | 7.7127 | 5.8525 | 6.9643 | 5.7839 | 4.1880 |
3 | 3.9711 | 6.4337 | 4.8694 | 6.2159 | 8.5668 | 9.9341 | 7.5002 | 9.0012 | 7.5321 | 5.3671 |
20 | 0.5 | 3.1362 | 5.0203 | 3.8557 | 4.9341 | 6.6848 | 7.7127 | 5.8525 | 6.9643 | 5.7839 | 4.1880 |
1 | 3.5512 | 5.3879 | 4.4182 | 5.7185 | 7.1742 | 8.1096 | 6.2811 | 7.2328 | 5.8971 | 4.4947 |
2 | 4.3208 | 6.5940 | 5.3696 | 6.9427 | 8.7803 | 9.9540 | 7.6871 | 8.8973 | 7.2960 | 5.5009 |
3 | 4.8820 | 7.6663 | 6.0307 | 7.7535 | 10.2080 | 11.7140 | 8.9372 | 10.5560 | 8.7994 | 6.3954 |
30 | 0.5 | 3.6462 | 5.7138 | 4.5054 | 5.7938 | 7.6083 | 8.7175 | 6.6611 | 7.8447 | 6.5074 | 4.7666 |
1 | 5.2034 | 7.5219 | 6.5376 | 8.5388 | 10.0160 | 11.0840 | 8.7688 | 9.7450 | 7.7275 | 6.2749 |
2 | 6.2196 | 9.0419 | 7.8060 | 10.1850 | 12.0400 | 13.3600 | 10.5410 | 11.7700 | 9.3781 | 7.5430 |
3 | 6.3104 | 9.5121 | 7.8628 | 10.1910 | 12.6660 | 14.2870 | 11.0890 | 12.7310 | 10.3870 | 7.9352 |
Table 6.
Dimensionless critical buckling load of FG shells for various boundary conditions .
Table 6.
Dimensionless critical buckling load of FG shells for various boundary conditions .
BCs. | | | |
---|
FG-A | FG-B | FG-C | FG-D | FG-E | FG-A | FG-B | FG-C | FG-D | FG-E |
---|
SSSS | 2 | 2.5031 | 3.9768 | 3.0811 | 3.9472 | 5.2953 | 6.0809 | 4.6360 | 5.4681 | 4.4814 | 3.3175 |
5 | 4.0463 | 5.4601 | 4.5869 | 5.2354 | 6.2842 | 4.5291 | 3.1527 | 3.9645 | 3.2550 | 2.3287 |
10 | 5.2169 | 6.2433 | 5.6045 | 6.0308 | 6.7337 | 3.3714 | 2.3695 | 2.9741 | 2.5294 | 1.8792 |
CCCC | 2 | 5.9277 | 9.3193 | 7.3005 | 9.3540 | 12.4090 | 14.0940 | 10.8640 | 12.5300 | 9.8541 | 7.7744 |
5 | 9.5520 | 12.7950 | 10.8300 | 12.3630 | 14.7270 | 10.4240 | 7.3882 | 9.0171 | 7.1748 | 5.4570 |
10 | 12.2810 | 14.6310 | 13.1940 | 14.1990 | 15.7800 | 7.7670 | 5.5528 | 6.8014 | 5.7010 | 4.4037 |
CCSS | 2 | 4.4115 | 6.9682 | 5.4305 | 6.9554 | 9.2785 | 10.5790 | 8.1234 | 9.4414 | 7.5222 | 5.8130 |
5 | 7.1184 | 9.5673 | 8.0698 | 9.2113 | 11.0110 | 7.8440 | 5.5243 | 6.8117 | 5.4737 | 4.0803 |
10 | 9.1638 | 10.9400 | 9.8449 | 10.5940 | 11.7990 | 5.8434 | 4.1519 | 5.1295 | 4.3197 | 3.2927 |
CSCS | 2 | 4.5756 | 7.2742 | 5.6246 | 7.1946 | 9.6859 | 11.0740 | 8.4801 | 9.9016 | 7.9195 | 6.0683 |
5 | 7.3949 | 9.9874 | 8.3810 | 9.5640 | 11.4950 | 8.2252 | 5.7668 | 7.1549 | 5.7662 | 4.2595 |
10 | 9.5375 | 11.4200 | 10.2460 | 11.0250 | 12.3170 | 6.1291 | 4.3342 | 5.3868 | 4.5446 | 3.4373 |
CSSS | 2 | 3.6672 | 5.8362 | 4.5092 | 5.7699 | 7.7712 | 8.9058 | 6.8037 | 7.9840 | 6.4533 | 4.8687 |
5 | 5.9294 | 8.0131 | 6.7202 | 7.6691 | 9.2225 | 6.6243 | 4.6268 | 5.7787 | 4.6945 | 3.4175 |
10 | 7.6492 | 9.1625 | 8.2171 | 8.8418 | 9.8821 | 4.9343 | 3.4774 | 4.3442 | 3.6781 | 2.7578 |
Table 7.
Dimensionless critical buckling load of FG nanoshells versus nonlocal and length-scale parameters .
Table 7.
Dimensionless critical buckling load of FG nanoshells versus nonlocal and length-scale parameters .
| | | |
---|
FG-A | FG-B | FG-C | FG-D | FG-E | FG-A | FG-B | FG-C | FG-D | FG-E |
---|
0 | 0 | 2.5031 | 3.9768 | 3.0811 | 3.9472 | 5.2953 | 6.0809 | 4.6360 | 5.4681 | 4.4814 | 3.3175 |
0.5 | 2.8680 | 4.5179 | 3.5369 | 4.5392 | 6.0158 | 6.8845 | 5.2669 | 6.1768 | 5.0397 | 3.7690 |
1 | 3.2390 | 5.0680 | 4.0003 | 5.1411 | 6.7483 | 7.7018 | 5.9082 | 6.8978 | 5.6090 | 4.2279 |
1.5 | 3.6146 | 5.6251 | 4.4696 | 5.7507 | 7.4900 | 8.5296 | 6.5575 | 7.6284 | 6.1869 | 4.6926 |
2 | 3.9939 | 6.1875 | 4.9434 | 6.3664 | 8.2390 | 9.3656 | 7.2133 | 8.3665 | 6.7715 | 5.1618 |
0.5 | 0 | 2.2782 | 3.6196 | 2.8043 | 3.5926 | 4.8196 | 5.5346 | 4.2196 | 4.9769 | 4.0788 | 3.0195 |
0.5 | 2.6103 | 4.1121 | 3.2192 | 4.1314 | 5.4754 | 6.2661 | 4.7938 | 5.6219 | 4.5870 | 3.4304 |
1 | 2.9480 | 4.6128 | 3.6409 | 4.6793 | 6.1421 | 7.0099 | 5.3774 | 6.2782 | 5.1052 | 3.8481 |
1.5 | 3.2899 | 5.1198 | 4.0681 | 5.2341 | 6.8172 | 7.7634 | 5.9685 | 6.9431 | 5.6311 | 4.2710 |
2 | 3.6352 | 5.6317 | 4.4994 | 5.7945 | 7.4989 | 8.5243 | 6.5653 | 7.6149 | 6.1632 | 4.6981 |
1 | 0 | 2.0904 | 3.3212 | 2.5732 | 3.2965 | 4.4224 | 5.0784 | 3.8718 | 4.5667 | 3.7426 | 2.7706 |
0.5 | 2.3952 | 3.7731 | 2.9538 | 3.7909 | 5.0241 | 5.7496 | 4.3986 | 5.1585 | 4.2089 | 3.1476 |
1 | 2.7050 | 4.2326 | 3.3408 | 4.2936 | 5.6359 | 6.4321 | 4.9342 | 5.7607 | 4.6844 | 3.5309 |
1.5 | 3.0187 | 4.6978 | 3.7327 | 4.8027 | 6.2553 | 7.1235 | 5.4765 | 6.3709 | 5.1670 | 3.9190 |
2 | 3.3355 | 5.1675 | 4.1285 | 5.3169 | 6.8808 | 7.8217 | 6.0242 | 6.9873 | 5.6552 | 4.3109 |
1.5 | 0 | 1.9312 | 3.0683 | 2.3772 | 3.0454 | 4.0856 | 4.6917 | 3.5770 | 4.2189 | 3.4576 | 2.5597 |
0.5 | 2.2128 | 3.4858 | 2.7289 | 3.5022 | 4.6415 | 5.3118 | 4.0637 | 4.7657 | 3.8884 | 2.9080 |
1 | 2.4990 | 3.9102 | 3.0864 | 3.9666 | 5.2067 | 5.9423 | 4.5585 | 5.3220 | 4.3276 | 3.2620 |
1.5 | 2.7889 | 4.3400 | 3.4485 | 4.4370 | 5.7790 | 6.5810 | 5.0595 | 5.8857 | 4.7735 | 3.6206 |
2 | 3.0815 | 4.7740 | 3.8141 | 4.9120 | 6.3568 | 7.2261 | 5.5654 | 6.4552 | 5.2245 | 3.9826 |
2 | 0 | 1.7946 | 2.8512 | 2.2090 | 2.8300 | 3.7965 | 4.3597 | 3.3238 | 3.9204 | 3.2130 | 2.3785 |
0.5 | 2.0562 | 3.2392 | 2.5358 | 3.2544 | 4.3131 | 4.9359 | 3.7761 | 4.4285 | 3.6132 | 2.7022 |
1 | 2.3222 | 3.6336 | 2.8680 | 3.6860 | 4.8383 | 5.5219 | 4.2359 | 4.9454 | 4.0214 | 3.0312 |
1.5 | 2.5915 | 4.0329 | 3.2045 | 4.1230 | 5.3700 | 6.1153 | 4.7015 | 5.4692 | 4.4357 | 3.3644 |
2 | 2.8635 | 4.4362 | 3.5442 | 4.5644 | 5.9070 | 6.7147 | 5.1716 | 5.9984 | 4.8548 | 3.7008 |
Table 8.
Dimensionless critical buckling load of tricoated FG-A shells rested on orthotropic foundation .
Table 8.
Dimensionless critical buckling load of tricoated FG-A shells rested on orthotropic foundation .
| | | | |
---|
| | | | | | | | | |
---|
10 | 5 | 5 | 3.5087 | 3.5087 | 3.5087 | 3.5087 | 3.5087 | 8.0852 | 8.0852 | 8.0852 | 8.0852 | 8.0852 |
10 | 3.5728 | 3.6209 | 3.6689 | 3.717 | 3.7651 | 8.1493 | 8.1973 | 8.2454 | 8.2935 | 8.3416 |
20 | 3.7010 | 3.8452 | 3.9895 | 4.1337 | 4.2779 | 8.2775 | 8.4217 | 8.5659 | 8.7102 | 8.8544 |
10 | 5 | 3.7651 | 3.717 | 3.6689 | 3.6209 | 3.5728 | 8.3416 | 8.2935 | 8.2454 | 8.1973 | 8.1493 |
10 | 3.8292 | 3.8292 | 3.8292 | 3.8292 | 3.8292 | 8.4057 | 8.4057 | 8.4057 | 8.4057 | 8.4057 |
20 | 3.9574 | 4.0536 | 4.1497 | 4.2459 | 4.3420 | 8.5339 | 8.630 | 8.7262 | 8.8223 | 8.9185 |
20 | 5 | 4.2779 | 4.1337 | 3.9895 | 3.8452 | 3.7010 | 8.8544 | 8.7102 | 8.5659 | 8.4217 | 8.2775 |
10 | 4.3420 | 4.2459 | 4.1497 | 4.0536 | 3.9574 | 8.9185 | 8.8223 | 8.7262 | 8.63 | 8.5339 |
20 | 4.4702 | 4.4702 | 4.4702 | 4.4702 | 4.4702 | 9.0467 | 9.0467 | 9.0467 | 9.0467 | 9.0467 |
50 | 5 | 5 | 3.7165 | 3.7165 | 3.7165 | 3.7165 | 3.7165 | 8.2930 | 8.2930 | 8.2930 | 8.2930 | 8.2930 |
10 | 3.7806 | 3.8287 | 3.8768 | 3.9249 | 3.9729 | 8.3571 | 8.4052 | 8.4533 | 8.5013 | 8.5494 |
20 | 3.9088 | 4.0531 | 4.1973 | 4.3415 | 4.4858 | 8.4853 | 8.6295 | 8.7738 | 8.9180 | 9.0622 |
10 | 5 | 3.9729 | 3.9249 | 3.8768 | 3.8287 | 3.7806 | 8.5494 | 8.5013 | 8.4533 | 8.4052 | 8.3571 |
10 | 4.0370 | 4.0370 | 4.0370 | 4.0370 | 4.0370 | 8.6135 | 8.6135 | 8.6135 | 8.6135 | 8.6135 |
20 | 4.1652 | 4.2614 | 4.3576 | 4.4537 | 4.5499 | 8.7417 | 8.8379 | 8.934 | 9.0302 | 9.1263 |
20 | 5 | 4.4858 | 4.3415 | 4.1973 | 4.0531 | 3.9088 | 9.0622 | 8.918 | 8.7738 | 8.6295 | 8.4853 |
10 | 4.5499 | 4.4537 | 4.3576 | 4.2614 | 4.1652 | 9.1263 | 9.0302 | 8.934 | 8.8379 | 8.7417 |
20 | 4.6781 | 4.6781 | 4.6781 | 4.6781 | 4.6781 | 9.2545 | 9.2545 | 9.2545 | 9.2545 | 9.2545 |
100 | 5 | 5 | 3.9763 | 3.9763 | 3.9763 | 3.9763 | 3.9763 | 8.5528 | 8.5528 | 8.5528 | 8.5528 | 8.5528 |
10 | 4.0404 | 4.0885 | 4.1366 | 4.1847 | 4.2327 | 8.6169 | 8.6650 | 8.7131 | 8.7611 | 8.8092 |
20 | 4.1686 | 4.3129 | 4.4571 | 4.6013 | 4.7456 | 8.7451 | 8.8893 | 9.0336 | 9.1778 | 9.322 |
10 | 5 | 4.2327 | 4.1847 | 4.1366 | 4.0885 | 4.0404 | 8.8092 | 8.7611 | 8.7131 | 8.6650 | 8.6169 |
10 | 4.2968 | 4.2968 | 4.2968 | 4.2968 | 4.2968 | 8.8733 | 8.8733 | 8.8733 | 8.8733 | 8.8733 |
20 | 4.4250 | 4.5212 | 4.6173 | 4.7135 | 4.8097 | 9.0015 | 9.0977 | 9.1938 | 9.2900 | 9.3861 |
20 | 5 | 4.7456 | 4.6013 | 4.4571 | 4.3129 | 4.1686 | 9.3220 | 9.1778 | 9.0336 | 8.8893 | 8.7451 |
10 | 4.8097 | 4.7135 | 4.6173 | 4.5212 | 4.4250 | 9.3861 | 9.2900 | 9.1938 | 9.0977 | 9.0015 |
20 | 4.9379 | 4.9379 | 4.9379 | 4.9379 | 4.9379 | 9.5143 | 9.5143 | 9.5143 | 9.5143 | 9.5143 |