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🔢 Stiffness Matrix Calculator
Calculate stiffness matrix, elastic constants, and material properties for anisotropic materials
📐 Stiffness Matrix Formulas
[C] = [S]⁻¹ (Stiffness from Compliance)
C₁₁ = E(1-ν)/((1+ν)(1-2ν))
C₁₂ = Eν/((1+ν)(1-2ν))
C₄₄ = G (Shear Modulus)
[C] = stiffness matrix, [S] = compliance matrix, E = Young's modulus, ν = Poisson's ratio, G = shear modulus
💡 Tips
- Stiffness matrix relates stress to strain
- For isotropic materials: C₁₁ = C₂₂ = C₃₃, C₁₂ = C₁₃ = C₂₃
- C₄₄ = C₅₅ = C₆₆ = G (shear modulus)
- Matrix is symmetric: Cᵢⱼ = Cⱼᵢ
- Higher stiffness means less deformation under load
- Used in finite element analysis and material modeling