Research Article
A New Sinusoidal Shear Deformation Theory for Static Bending Analysis of Functionally Graded Plates Resting on Winkler–Pasternak Foundations
Table 7
The influence of two elastic foundation parameters on the deflection and stresses of the plates.
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| Ceramic | 0 | 0 | 0.466544 | 2.892900 | 1.910362 | 1.284360 | 0.512669 | 0.443984 | 5 | 0.366110 | 2.233322 | 1.476016 | 1.035604 | 0.423956 | 0.367156 | 10 | 0.300884 | 1.808923 | 1.196394 | 0.871845 | 0.365029 | 0.316124 | 50 | 0 | 0.409357 | 2.509476 | 1.658164 | 1.146996 | 0.464665 | 0.402412 | 5 | 0.329621 | 1.989165 | 1.315400 | 0.947737 | 0.393215 | 0.340534 | 10 | 0.275596 | 1.640065 | 1.085299 | 0.810796 | 0.343646 | 0.297607 | 100 | 0 | 0.364386 | 2.208369 | 1.460092 | 1.038796 | 0.426826 | 0.369642 | 5 | 0.299575 | 1.788415 | 1.183327 | 0.875256 | 0.367837 | 0.318557 | 10 | 0.254115 | 1.496843 | 0.991060 | 0.758839 | 0.325433 | 0.281833 |
| 0.5 | 0 | 0 | 0.715351 | 3.797329 | 2.123720 | 1.260322 | 0.524196 | 0.507197 | 5 | 0.503375 | 2.606894 | 1.459841 | 0.924420 | 0.398993 | 0.386054 | 10 | 0.387442 | 1.965189 | 1.101672 | 0.736806 | 0.328112 | 0.317472 | 50 | 0 | 0.589072 | 3.072212 | 1.719868 | 1.066647 | 0.453494 | 0.438788 | 5 | 0.436582 | 2.224568 | 1.246861 | 0.821585 | 0.361388 | 0.349669 | 10 | 0.346201 | 1.729868 | 0.970556 | 0.673061 | 0.304761 | 0.294878 | 100 | 0 | 0.499918 | 2.561386 | 1.435324 | 0.929555 | 0.403390 | 0.390309 | 5 | 0.385028 | 1.930177 | 1.082841 | 0.741983 | 0.332242 | 0.321468 | 10 | 0.312649 | 1.538904 | 0.864138 | 0.621046 | 0.285681 | 0.276417 |
| 1.5 | 0 | 0 | 1.085886 | 4.927921 | 2.119488 | 1.021226 | 0.492386 | 0.566835 | 5 | 0.661782 | 2.896759 | 1.248715 | 0.660779 | 0.336218 | 0.387054 | 10 | 0.474174 | 2.018122 | 0.871446 | 0.496086 | 0.263344 | 0.303162 | 50 | 0 | 0.818781 | 3.616826 | 1.558387 | 0.802205 | 0.399647 | 0.460073 | 5 | 0.550194 | 2.351722 | 1.015368 | 0.568731 | 0.297138 | 0.342065 | 10 | 0.413220 | 1.721814 | 0.744542 | 0.445510 | 0.241815 | 0.278377 | 100 | 0 | 0.655151 | 2.816505 | 1.215781 | 0.667466 | 0.342489 | 0.394273 | 5 | 0.469934 | 1.961241 | 0.848141 | 0.502217 | 0.268840 | 0.309489 | 10 | 0.365692 | 1.491696 | 0.645955 | 0.405885 | 0.224911 | 0.258917 |
| 5.5 | 0 | 0 | 1.454942 | 6.276915 | 1.563968 | 1.049444 | 0.420340 | 0.489465 | 5 | 0.781004 | 3.222208 | 0.806585 | 0.606118 | 0.259858 | 0.302592 | 10 | 0.531203 | 2.123554 | 0.533247 | 0.434216 | 0.195607 | 0.227775 | 50 | 0 | 1.010438 | 4.205625 | 1.052053 | 0.769002 | 0.321711 | 0.374616 | 5 | 0.628729 | 2.517448 | 0.632253 | 0.509231 | 0.225652 | 0.262760 | 10 | 0.454964 | 1.772825 | 0.446424 | 0.385332 | 0.178287 | 0.207606 | 100 | 0 | 0.770115 | 3.091798 | 0.776578 | 0.616394 | 0.267885 | 0.311938 | 5 | 0.524707 | 2.038749 | 0.513753 | 0.442585 | 0.202049 | 0.235276 | 10 | 0.397176 | 1.508456 | 0.380932 | 0.348025 | 0.165027 | 0.192166 |
| Metal | 0 | 0 | 2.532557 | 2.892900 | 1.910362 | 1.284360 | 0.512669 | 0.443984 | 5 | 1.009629 | 1.074906 | 0.712260 | 0.575406 | 0.256332 | 0.221990 | 10 | 0.625946 | 0.639555 | 0.424581 | 0.382653 | 0.182711 | 0.158232 | 50 | 0 | 1.431068 | 1.535900 | 1.017604 | 0.795403 | 0.341561 | 0.295800 | 5 | 0.765990 | 0.778232 | 0.516957 | 0.465679 | 0.217676 | 0.188513 | 10 | 0.521117 | 0.513032 | 0.341247 | 0.334892 | 0.165792 | 0.143580 | 100 | 0 | 0.986867 | 0.994403 | 0.661150 | 0.595750 | 0.271301 | 0.234954 | 5 | 0.614212 | 0.595309 | 0.396460 | 0.396463 | 0.193156 | 0.167278 | 10 | 0.445203 | 0.422254 | 0.281421 | 0.299906 | 0.153335 | 0.132792 |
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