Cauchy's STRESS THEOREM states that the traction vector T(n) on any su…

Question

Cauchy's STRESS THEOREM states that the traction vector T(n) on any surface with outward normal n can be computed from the stress tensor σ as:

Accepted Answer

A. {'text': 'T(n) = σ · n — the stress tensor maps surface normals to traction vectors', 'label': 'B'}

Cauchy's theorem: T_i = σ_ij · n_j. This shows the stress tensor IS the linear map from surface orientations to traction vectors. It is THE compact statement of "the stress state at a point".

Answer

{'text': 'T(n) = σ / n', 'label': 'D'}

Answer

{'text': 'T(n) = σ × n', 'label': 'C'}

Answer

{'text': 'T(n) = σ + n', 'label': 'A'}