Durometer to Young’s Modulus Calculator

This durometer to young’s modulus calculator is designed to convert durometer hardness values into Young’s modulus, a critical measure of a material’s stiffness.

A rubber sample with a durometer hardness of 60 Shore A. By using the durometer to young’s modulus converter, we can estimate the Young’s modulus of this material. The calculator may indicate that a durometer hardness of 60 Shore A corresponds to a Young’s modulus of approximately 3-4 MPa (megapascals).

Durometer to Young’s Modulus Conversion Chart

Durometer to Young’s Modulus Formula

A commonly used formula for Shore A durometer is:

E ≈ (0.0981 (56 + 7.62336 S)) / (0.137505 (254 - 2.54 S))

Where:

• E is Young’s modulus in MPa
• S is the Shore A durometer value

Assuming we have a material with a Shore A durometer of 50. Plugging this into our formula:

E ≈ (0.0981 (56 + 7.62336 50)) / (0.137505 (254 - 2.54 50))

Calculating step-by-step:

E ≈ (0.0981 437.1168) / (0.137505 127)

E ≈ 42.88 / 17.46

E ≈ 2.46 MPa

How to Convert Durometer to Young’s Modulus?

Here’s a step-by-step process:

Measure the durometer hardness of your material using a durometer tester.

Identify the durometer scale used (e.g., Shore A, Shore D).

Use a conversion formula or lookup table specific to that scale.

Calculate or look up the corresponding Young’s modulus value.

We measure a plastic material and find its durometer hardness to be 75 Shore D, we can utilize a formula tailored for Shore D:

E ≈ 0.098066 (41.8808 e^(0.0235 * S))

Where E is Young’s modulus in MPa, and S is the Shore D value.

Plugging in our value:

E ≈ 0.098066 (41.8808 e^(0.0235 * 75))

Calculating further:

E ≈ 0.098066 (41.8808 5.8916)

E ≈ 0.098066 * 246.7389

E ≈ 24.19 MPa

This conversion yields an estimated Young’s modulus of 24.19 MPa for our material with a Shore D hardness of 75.