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 6
The center deflection for Al/ZrO2 FGM square plates under two kinds of temperature rise conditions and C2 with different volume fraction index curves and length-thickness ratios.
Volume fraction index
a/h
Uniform temperature rise (10−3m)
Nonlinear temperature rise (10−3m)
Relative deviation (%)
Ceramic (k = 0)
10
1.1256
0.9292
17.45
40
4.5128
3.8579
14.51
100
11.0478
9.9061
10.33
k = 1
10
1.2389
0.9498
23.33
40
4.7344
3.8599
18.47
100
12.0037
9.9700
16.94
k = 5
10
1.6656
1.0781
35.27
40
6.3468
4.3977
30.71
100
15.3185
11.4510
25.25
Metal (k ⟶ +∞)
10
1.9929
1.5890
20.27
40
7.7468
6.5119
15.94
100
21.3131
17.1271
11.32
Relative deviation is evaluated between the values in columns 3 and 4.