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.


1000Ceramic0.3643862.2083691.4600921.0387960.4268260.369642
10.5949652.7367321.3306570.7648060.3714600.395564
20.6924402.8570321.1162300.6266500.3190200.389185
30.7320302.9130560.9712220.6126660.2876420.370742
40.7519972.9766020.8751320.6157730.2724920.346511
50.7648953.0516050.8054190.6168270.2678460.322594
60.7748493.1329430.7506060.6155670.2688480.302425
70.7833443.2161960.7053300.6133080.2722200.286927
80.7909693.2985410.6670220.6108120.2761280.275686
90.7979863.3783470.6343390.6084150.2797160.267830
100.8045243.4547440.6064710.6062400.2826720.262467
Metal0.9868670.9944030.6611500.5957500.2713010.234954

010Ceramic0.3008841.8089231.1963940.8718450.3650290.316124
10.4419702.0116720.9785000.5828730.2919830.310930
20.4932912.0167330.7881440.4583420.2417840.294962
30.5129222.0261020.6755870.4400510.2142790.276184
40.5225752.0563130.6045370.4378840.2009410.255524
50.5287292.0994200.5540030.4356990.1961330.236222
60.5334402.1485750.5146070.4325840.1958200.220276
70.5374342.1996450.4821970.4291740.1974270.208094
80.5409992.2503230.4548310.4258670.1995450.199225
90.5442622.2993770.4315050.4228180.2015130.192950
100.5472872.3461890.4116160.4200690.2030880.188571
Metal0.6259460.6395550.4245810.3826530.1827110.158232

10010Ceramic0.2541151.4968430.9910600.7588390.3254330.281833
10.3466491.5197720.7409040.4820920.2510360.267326
20.3766081.4710520.5768330.3725800.2057130.250958
30.3874631.4576530.4881450.3552170.1815650.234018
40.3926351.4694140.4341670.3521570.1698770.216022
50.3958781.4938470.3963680.3495500.1655650.199406
60.3983471.5238960.3670990.3464230.1651250.185748
70.4004411.5558590.3430910.3431920.1663490.175336
80.4023131.5878090.3228490.3401280.1680290.167760
90.4040281.6187560.3056030.3373330.1696020.162395
100.4056181.6482220.2908940.3348220.1708580.158645
Metal0.4452030.4222540.2814210.2999060.1533350.132792