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The relationship between TENSORIAL shear strain ε_xy and ENGINEERING shear strain γ_xy is:
A{'text': 'They are unrelated', 'label': 'D'}
B{'text': 'γ_xy = 2 · ε_xy — engineering strain is the TOTAL angle change; tensorial strain is HALF of that', 'label': 'B'}
C{'text': 'γ_xy = ε_xy²', 'label': 'C'}
D{'text': 'ε_xy = γ_xy', 'label': 'A'}
Answer & Solution
Correct answer: B. {'text': 'γ_xy = 2 · ε_xy — engineering strain is the TOTAL angle change; tensorial strain is HALF of that', 'label': 'B'}
Engineering shear strain γ_xy measures the total angular distortion (in radians) between two originally perpendicular line elements. The tensorial definition ε_xy = ½(∂u_x/∂y + ∂u_y/∂x) is half that. Critical when mixing notations.
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