Transverse Modulus:
Consider an off-axis lamina subjected to in-plane transverse loading as shown in Figure 4.4. Thus, for this loading condition we have and .
Figure 4.4: Off axis lamina loaded in traction along y direction |
Let us define the transverse modulus as
|
(4.69) |
Thus, from Equation (4.5) for the above loading, we can write
|
(4.70) |
If we express using engineering constants, we get
|
(4.71) |
From this expression, we can see that the modulus when and when . The variation of the modulus with fibre orientation for AS4/3501-6 Epoxy material is shown in Figure 4.5. The variation of the modulus , similar to the variation of , for both positive and negative fibre orientations is identical in nature. Further, it can be observed that the curve for is shifted by to that of .
Figure 4.5: Variation of transverse modulus with fibre orientation for AS4/3501-6 Epoxy |
Other Poisson’s Ratio:
The other Poisson’s ratio can be obtained from the loading condition given in Figure 4.4. Let us define this Poisson’s ratio as
|
(4.72) |
Thus, using Equation (4.5) for this loading, it becomes
|
(4.73) |
which can be written using engineering constants as
|
(4.74) |
The fibre orientation dependence of axial Poisson’s ratio and the other Poisson’s ratio for AS4/3501-6 Epoxy is shown in Figure 4.6.
Figure 4.6: Variation of Poisson's ratios with fibre orientation |
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