Table 6: Comparison of normalized central deflections, , of symmetric [0/90/0] plates for different a/h ratios, computed using three shear deformation theories and the CLT.

Normalized Moment,, of [0/90/0] Plates under Uniform Load

Boundary Condition

 

a/h

 

LCST (Zig-Zag)

FEA [111]

TSDT

[93-94,99-100]

FSDT

[72,111]

CLT

[60,72,111]

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

 SS1 [72,100]

4

 

 

108.598

109.748

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

(-22.119% vs. -16.32%)

SS3 [111]

4

101.072

101.072

108.598

109.748

SS4 [72,100]

4

 

 

108.598

109.748

SS2/SS3 [93]

4

 

 

108.598

109.748

C4/SS3 [94]

4

 

 

41.413

 

C3 [72,99]

4

 

 

32.162

 

SS1 [72,100]

10

 

 

125.278

125.992

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

(-4.652% vs. -3.467%)

SS3 [111]

10

123.74

123.74

125.278

126.0

SS4 [72,100]

10

 

 

125.278

125.993

SS2/SS3 [93]

10

 

 

125.278

125.993

C4/SS3 [94]

10

 

 

45.844

 

C3 [72,99]

10

 

 

36.828

 

SS1 [72,77]

20

 

 

128.688

128.897

Computed Zig-Zag theory and TSDT (0.149% vs.

-0.839%) results are very close

SS3 [111]

20

129.97

129.97

128.688

128.91

SS4 [72,77]

20

 

 

128.688

128.898

SS2/SS3 [93]

20

 

 

128.688

128.898

C4/SS3 [94]

20

 

 

45.744

 

C3 [72,99]

20

 

 

39.119

 

SS1 [72,77]

100

 

 

129.800

129.808

Computed TSDT, FSDT and CLT values are indistinguishably close

SS3 [111]

100

 

 

129.800

129.808

SS4 [72,77]

100

 

 

129.800

129.808

SS2/SS3 [93]

100

 

 

129.800

129.808

C4/SS3 [94]

100

 

 

44.980

 

C3 [72,99]

100

 

 

39.834

 

%Degree of Shear Flexibility= SDTxCLT CLT 100,x=ZigZag or HSDT