← Back
🔗 Elastic Constants Calculator
Calculate elastic constants and relationships between Young's modulus, shear modulus, bulk modulus, and Poisson's ratio
📐 Elastic Constants Relationships
E = 2G(1 + ν)
E = 3K(1 - 2ν)
G = E/(2(1 + ν))
K = E/(3(1 - 2ν))
ν = (E - 2G)/(2G)
E = Young's modulus, G = shear modulus, K = bulk modulus, ν = Poisson's ratio
Young's Modulus (E):
Shear Modulus (G):
Bulk Modulus (K):
Poisson's Ratio (ν):
Lamé's First Parameter (λ):
Material Classification:
💡 Tips
- Poisson's ratio must be between 0 and 0.5 for isotropic materials
- For most metals, Poisson's ratio is around 0.3
- Rubber has a Poisson's ratio close to 0.5 (nearly incompressible)
- Young's modulus is always positive and represents stiffness
- Shear modulus represents resistance to shear deformation
- Bulk modulus represents resistance to volume change