The image above represents modulus of elasticity.

To compute for the relationship between modulus of elasticity on volume fraction porosity, two essential parameters are needed and these are **Modulus of Elasticity of Non Porous Material (E _{o})** and

**Volume Fraction Porosity (P).**

The formula for calculating the modulus of elasticity:

E = E_{o}(1 – 1.9P + 0.9P²)

Where:

E = Modulus of Elasticity

E_{o} = Modulus of Elasticity of Non Porous Material.

P = Volume Fraction Porosity

Let’s solve an example;

Find the modulus of elasticity when the modulus of elasticity of non porous material is 12 and volume fraction porosity is 22.

This implies that;

E_{o} = Modulus of Elasticity of Non Porous Material = 12

P = Volume Fraction Porosity = 22

E = E_{o}(1 – 1.9P + 0.9P²)

E = (12)(1 – 1.9(22) + 0.9(22)²)

E = (12)(1 – (41.8) + 0.9(484))

E = (12)(1 – (41.8) + (435.6))

E = (12)(394.8)

E = 4737.6

Therefore, the **modulus of elasticity **is **4737.6 Pa.**