2-P Mooney-Rivlin vs. Shore Hardness Calculator

⚠️ Important Disclaimer

This is an approximate methodology published in: Altidis, P. A.; Warner, B. V., 2005, "Analyzing hyperelastic materials w/some practical considerations." Midwest ANSYS Users Group. The correlations provide rough estimates and should be validated against experimental data for critical applications.

Valid Range: Shore Hardness from 35° to 70° only. Results outside this range are not reliable.

Mooney-Rivlin Material Model

W = C₁₀(I₁ - 3) + C₀₁(I₂ - 3)
where: W - strain energy density function, C₁₀ and C₀₁ - Mooney-Rivlin constants, I₁ and I₂ - strain invariants

🔧 Units Settings

-
°

Shore Hardness Based Parameters

Young's Modulus, E (Shore)
- MPa
Shear Modulus, G (Shore)
- MPa
Mooney-Rivlin Constant, C₁₀
- MPa
Mooney-Rivlin Constant, C₀₁
- MPa

Calculated Parameters (G, K, E)

Initial Shear Modulus, G = 2·(C₁₀ + C₀₁)
- MPa
Bulk Modulus, K
- MPa
Young's Modulus, E = 9KG/(3K+G)
- MPa
Poisson's Ratio, ν
- -
Incompressibility Parameter, d
- MPa⁻¹