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 9

The center deflection for elastically supported Al/ZrO2 FG plates with different length-width ratios and heating-up conditions under  = 25 and .

a/bHeating-up conditions (Tm/Tc)
(10−3m)

(10−3m)

(10−3m)

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

0.5C110.740−1.297−0.524−0.097112.0859.6081.49
C28.9881.0540.5320.09688.2749.5381.95
C31.096−0.674−0.220−0.041161.5067.3681.36

1C111.7232.4161.8210.28579.3924.6384.35
C220.0794.6693.2670.49076.7530.0385.00
C310.1693.5502.4820.35165.0930.0885.86

1.5C122.1209.7307.9801.17056.0117.9985.34
C223.92511.4029.3611.38352.3417.9085.23
C322.04911.5299.2531.25047.7119.7486.49

2C128.76118.49414.5062.52735.7021.5682.58
C229.19819.50417.3742.73733.2010.9284.25
C328.90317.55615.5772.62439.2611.2783.15

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.