alleryStart learning →Hooke's law in STIFFNESS form is σ = C·ε. In COMPLIANCE form: ε = S·σ. The relationship between C and S is:
AC = Sᵀ
BC = S² (matrix square)
CC = S⁻¹ — they are matrix inverses
DC = S
Answer & Solution
Correct answer: C. C = S⁻¹ — they are matrix inverses
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.
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