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/b
Heating-up conditions (Tm/Tc)
(10−3m)
(10−3m)
(10−3m)
(10−3m)
Relative deviation I (%)
Relative deviation II (%)
Relative deviation III (%)
0.5
C1
10.740
−1.297
−0.524
−0.097
112.08
59.60
81.49
C2
8.988
1.054
0.532
0.096
88.27
49.53
81.95
C3
1.096
−0.674
−0.220
−0.041
161.50
67.36
81.36
1
C1
11.723
2.416
1.821
0.285
79.39
24.63
84.35
C2
20.079
4.669
3.267
0.490
76.75
30.03
85.00
C3
10.169
3.550
2.482
0.351
65.09
30.08
85.86
1.5
C1
22.120
9.730
7.980
1.170
56.01
17.99
85.34
C2
23.925
11.402
9.361
1.383
52.34
17.90
85.23
C3
22.049
11.529
9.253
1.250
47.71
19.74
86.49
2
C1
28.761
18.494
14.506
2.527
35.70
21.56
82.58
C2
29.198
19.504
17.374
2.737
33.20
10.92
84.25
C3
28.903
17.556
15.577
2.624
39.26
11.27
83.15
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.