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 |
|