The formula to calculate Young's Modulus of Composite in Longitudinal Direction is:
\[ E_{cl} = E_m (1 - V_f) + E_f V_f \]
Young's Modulus of a Composite in Longitudinal Direction is a measure of the stiffness of the composite material, considering the contributions of both the matrix and the fiber. 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:
\[ E_{cl} = 4,000,000,000 (1 - 0.5) + 35,000,000,000 \times 0.5 = 19,500,000,000 \text{ Pascal} \]
The Young's Modulus of the Composite in Longitudinal Direction is 19,500,000,000 Pascal.
| Young's Modulus of Matrix in Composite (Pascal) | Volume Fraction of Fiber (%) | Young's Modulus of Fiber in Composite (Pascal) | Young's Modulus of Composite in Longitudinal Direction (Pascal) |
|---|---|---|---|
| 4000000000 | 0.4 | 35000000000 | 16,400,000,000.000000000000000 |
| 4000000000 | 0.45 | 35000000000 | 17,950,000,000.000000000000000 |
| 4000000000 | 0.5 | 35000000000 | 19,500,000,000.000000000000000 |
| 4000000000 | 0.55 | 35000000000 | 21,050,000,000.000000000000000 |