The formula to calculate Young's Modulus of Composite in Transverse Direction is:
\[ E_{ct} = \frac{E_m E_f}{V_f E_m + (1 - V_f) E_f} \]
Young's Modulus in Transverse Direction is a measure of the stiffness of the composite material in the direction perpendicular to the fibers. The Volume Fraction of Fiber is the percentage of the composite's volume that is occupied by fibers.
Let's assume the following values:
Using the formula:
\[ E_{ct} = \frac{4,000,000,000 \times 35,000,000,000}{0.5 \times 4,000,000,000 + (1 - 0.5) \times 35,000,000,000} = 7,179,487,179.48718 \text{ Pascal} \]
The Young's Modulus of the Composite in Transverse Direction is 7,179,487,179.48718 Pascal.
| Young's Modulus of Matrix in Composite (Pascal) | Young's Modulus of Fiber in Composite (Pascal) | Volume Fraction of Fiber (%) | Young's Modulus of Composite in Transverse Direction (Pascal) |
|---|---|---|---|
| 4000000000 | 35000000000 | 0.4 | 6,194,690,265.486725807189941 |
| 4000000000 | 35000000000 | 0.45 | 6,650,831,353.919239997863770 |
| 4000000000 | 35000000000 | 0.5 | 7,179,487,179.487179756164551 |
| 4000000000 | 35000000000 | 0.55 | 7,799,442,896.935933113098145 |