Table 10: Comparison of normalized central moments, , of [0/90/0] spherical (r1/a = r2/a = 3) panels under uniform load for different a/h ratios, computed using three shear deformation theories .

Normalized Central Moment,, of [0/90/0] Spherical Panels (R1/a = R2/a = 3) under Uniform Load

Boundary Condition

 

a/h

 

LCST

(Zig-Zag)

FEA [113]

TSDT

[95,96,101, 102]

FSDT

[115]

Relative Degree of Shear Flexibility (Zig-Zag vs. TSDT)

SS1 [101,115]

4

 

104.570

106.034

Zig-Zag theory yields somewhat greater shear-flexibility than TSDT

(-8.451% vs. -1.497%)

SS3 [113,115]

4

96.04

103.335

104.905

SS4 [115]

4

 

68.380

71.606

SS2/SS3 [95]

4

 

77.602

80.555

C4/SS3 [96]

4

 

32.718

 

C3 [102,115]

4

 

31.176

 

SS1 [101,115]

10

 

113.701

114.807

Zig-Zag theory yields slightly greater shear-flexibility than TSDT

(-4.559% vs. -1.103%)

SS3 [113,115]

10

106.54

110.398

111.629

SS4 [115]

10

 

48.564

50.331

SS2/SS3 [95]

10

 

60.585

62.455

C4/SS3 [96]

10

 

30.871

 

C3 [102,115]

10

 

34.823

 

%Relative Degree of Shear Flexibility= SDTxFSDT FSDT 100,x=ZigZag or HSDT