Hooke's law in STIFFNESS form is σ = C·ε. In COMPLIANCE form: ε = S·σ.…

Question

Hooke's law in STIFFNESS form is σ = C·ε. In COMPLIANCE form: ε = S·σ. The relationship between C and S is:

Accepted Answer

C. {'text': 'C = S⁻¹ — they are matrix inverses', 'label': 'C'}

C maps strains to stresses; S = C⁻¹ maps stresses back to strains. Both are 6×6 (in contracted/Voigt notation) and inverses of each other. Useful for switching between strain-controlled and stress-controlled problems.

Answer

{'text': 'C = Sᵀ', 'label': 'D'}

Answer

{'text': 'C = S² (matrix square)', 'label': 'B'}

Answer

{'text': 'C = S', 'label': 'A'}