The image above represents crack opening displacement.

To compute for crack opening displacement, two essential parameters are needed and these parameters are **Shear Modulus (G) **and **Yield Strength (σ _{ys}).**

The formula for calculating crack opening displacement:

d = ^{G} / 2σ_{ys}

Where:

d = Crack Opening Displacement (G)

G = Shear Modulus

σ_{ys} = Yield Strength

Let’s solve an example;

Find the crack opening displacement when the shear modulus is 12 and the yield strength is 4.

This implies that;

G = Shear Modulus = 12

σ_{ys} = Yield Strength = 4

d = ^{G} / 2σ_{ys}

d = ^{12} / _{2(4)}

d = ^{12} / _{8}

d = 1.5

Therefore, the **crack opening displacement **is **1.5 m.**

**Calculating the Shear Modulus when the Crack Opening Displacement and the Yield Strength is Given.**

G = d x σ_{ys}

Where:

G = Shear Modulus

d = Crack Opening Displacement (G)

σ_{ys} = Yield Strength

Let’s solve an example;

Find the shear modulus when the crack opening displacement is 10 and the yield strength is 4.

This implies that;

d = Crack Opening Displacement (G) = 10

σ_{ys} = Yield Strength = 4

G = d x σ_{ys}

G = 10 x 4

G = 40

Therefore, the **shear modulus **is **40.**

Continue reading How to Calculate and Solve for Crack Opening Displacement | Polymer Deformation