Research Article
A New Sinusoidal Shear Deformation Theory for Static Bending Analysis of Functionally Graded Plates Resting on Winkler–Pasternak Foundations
Table 4
The effects of the power-law exponent on the deflection and stresses of the plates.
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| 100 | 0 | Ceramic | 0.364386 | 2.208369 | 1.460092 | 1.038796 | 0.426826 | 0.369642 | 1 | 0.594965 | 2.736732 | 1.330657 | 0.764806 | 0.371460 | 0.395564 | 2 | 0.692440 | 2.857032 | 1.116230 | 0.626650 | 0.319020 | 0.389185 | 3 | 0.732030 | 2.913056 | 0.971222 | 0.612666 | 0.287642 | 0.370742 | 4 | 0.751997 | 2.976602 | 0.875132 | 0.615773 | 0.272492 | 0.346511 | 5 | 0.764895 | 3.051605 | 0.805419 | 0.616827 | 0.267846 | 0.322594 | 6 | 0.774849 | 3.132943 | 0.750606 | 0.615567 | 0.268848 | 0.302425 | 7 | 0.783344 | 3.216196 | 0.705330 | 0.613308 | 0.272220 | 0.286927 | 8 | 0.790969 | 3.298541 | 0.667022 | 0.610812 | 0.276128 | 0.275686 | 9 | 0.797986 | 3.378347 | 0.634339 | 0.608415 | 0.279716 | 0.267830 | 10 | 0.804524 | 3.454744 | 0.606471 | 0.606240 | 0.282672 | 0.262467 | Metal | 0.986867 | 0.994403 | 0.661150 | 0.595750 | 0.271301 | 0.234954 |
| 0 | 10 | Ceramic | 0.300884 | 1.808923 | 1.196394 | 0.871845 | 0.365029 | 0.316124 | 1 | 0.441970 | 2.011672 | 0.978500 | 0.582873 | 0.291983 | 0.310930 | 2 | 0.493291 | 2.016733 | 0.788144 | 0.458342 | 0.241784 | 0.294962 | 3 | 0.512922 | 2.026102 | 0.675587 | 0.440051 | 0.214279 | 0.276184 | 4 | 0.522575 | 2.056313 | 0.604537 | 0.437884 | 0.200941 | 0.255524 | 5 | 0.528729 | 2.099420 | 0.554003 | 0.435699 | 0.196133 | 0.236222 | 6 | 0.533440 | 2.148575 | 0.514607 | 0.432584 | 0.195820 | 0.220276 | 7 | 0.537434 | 2.199645 | 0.482197 | 0.429174 | 0.197427 | 0.208094 | 8 | 0.540999 | 2.250323 | 0.454831 | 0.425867 | 0.199545 | 0.199225 | 9 | 0.544262 | 2.299377 | 0.431505 | 0.422818 | 0.201513 | 0.192950 | 10 | 0.547287 | 2.346189 | 0.411616 | 0.420069 | 0.203088 | 0.188571 | Metal | 0.625946 | 0.639555 | 0.424581 | 0.382653 | 0.182711 | 0.158232 |
| 100 | 10 | Ceramic | 0.254115 | 1.496843 | 0.991060 | 0.758839 | 0.325433 | 0.281833 | 1 | 0.346649 | 1.519772 | 0.740904 | 0.482092 | 0.251036 | 0.267326 | 2 | 0.376608 | 1.471052 | 0.576833 | 0.372580 | 0.205713 | 0.250958 | 3 | 0.387463 | 1.457653 | 0.488145 | 0.355217 | 0.181565 | 0.234018 | 4 | 0.392635 | 1.469414 | 0.434167 | 0.352157 | 0.169877 | 0.216022 | 5 | 0.395878 | 1.493847 | 0.396368 | 0.349550 | 0.165565 | 0.199406 | 6 | 0.398347 | 1.523896 | 0.367099 | 0.346423 | 0.165125 | 0.185748 | 7 | 0.400441 | 1.555859 | 0.343091 | 0.343192 | 0.166349 | 0.175336 | 8 | 0.402313 | 1.587809 | 0.322849 | 0.340128 | 0.168029 | 0.167760 | 9 | 0.404028 | 1.618756 | 0.305603 | 0.337333 | 0.169602 | 0.162395 | 10 | 0.405618 | 1.648222 | 0.290894 | 0.334822 | 0.170858 | 0.158645 | Metal | 0.445203 | 0.422254 | 0.281421 | 0.299906 | 0.153335 | 0.132792 |
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