โ Back
๐ข Stiffness Matrix Calculator
Calculate stiffness matrix, elastic constants, and material properties for anisotropic materials
๐ Stiffness Matrix Formulas
[C] = [S]โปยน (Stiffness from Compliance)
Cโโ = E(1-ฮฝ)/((1+ฮฝ)(1-2ฮฝ))
Cโโ = Eฮฝ/((1+ฮฝ)(1-2ฮฝ))
Cโโ = G (Shear Modulus)
[C] = stiffness matrix, [S] = compliance matrix, E = Young's modulus, ฮฝ = Poisson's ratio, G = shear modulus
Cโโ (GPa):
Cโโ (GPa):
Cโโ (GPa):
Bulk Modulus K (GPa):
Material Type:
Anisotropy Level:
Stiffness Matrix [C] (GPa):
๐ก Tips
- Stiffness matrix relates stress to strain
- For isotropic materials: Cโโ = Cโโ = Cโโ, Cโโ = Cโโ = Cโโ
- Cโโ = Cโ โ = Cโโ = G (shear modulus)
- Matrix is symmetric: Cแตขโฑผ = Cโฑผแตข
- Higher stiffness means less deformation under load
- Used in finite element analysis and material modeling