Physics

Elastic Constants Calculator

Find shear and bulk modulus from Young's modulus and Poisson's ratio.

Calculated Output

Shear modulus G (GPa) 76.923

Bulk modulus K (GPa) 166.67

Formula: G = E/(2(1+ν)); K = E/(3(1−2ν))

Step-by-Step Breakdown

1. Values used:

2. Young's modulus = 200 GPa

3. Poisson's ratio = 0.3

5. Shear modulus G = 76.923GPa

6. Bulk modulus K = 166.67GPa

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The math behind it

G = E/(2(1+ν)) and K = E/(3(1−2ν)). These link tensile, shear and volumetric stiffness.

E 200 GPa, ν 0.3 → G ≈ 76.9 GPa, K ≈ 166.7 GPa.

Why must ν stay below 0.5?

At ν = 0.5 the material is incompressible and K becomes infinite.