Research Article

A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory

Table 10

The center deflection for elastically supported Al/Zr2O3 FG plates with different volume fraction indexes and thickness-length ratios under  = 25 and C2.

h/aVolume fraction index
(10−3m)

(10−3m)

(10−3m)

(10−3m)
Relative deviation I (%)Relative deviation II (%)Relative deviation III (%)

1/80k = 0.56.2834.1602.6200.32933.7937.0287.44
k = 28.7964.3962.7030.33150.0238.5187.75
k = 39.0234.5052.7420.33250.0739.1387.89

1/50K = 0.517.5293.8262.6850.40078.1729.8285.10
k = 219.4744.1682.8460.41378.6031.7285.49
k = 319.9494.2102.8660.41478.9031.9285.55

1/25K = 0.525.8246.3024.5050.70875.6028.5184.28
k = 226.6436.4344.5900.71775.8528.6684.38
k = 327.2766.5504.6100.71975.9929.6284.40

1/10k = 0.593.08414.74810.5471.69884.1628.4983.90
k = 295.22014.95310.6551.71084.3028.7483.95
k = 399.58515.54011.0041.71684.4029.1984.41

Relative deviation I is evaluated between the values in columns 3 and 4; Relative deviation II is evaluated between the values in columns 4 and 5; Relative deviation III is evaluated between the values in columns 5 and 6.