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In stress/strain analysis, COMPATIBILITY CONDITIONS ensure that:
A{'text': 'Material is isotropic', 'label': 'C'}
B{'text': 'Loads are linear', 'label': 'D'}
C{'text': 'Stresses balance forces', 'label': 'A'}
D{'text': 'The strain field, when integrated, gives a SINGLE-VALUED continuous displacement field (no gaps, no overlaps)', 'label': 'B'}
Answer & Solution
Correct answer: D. {'text': 'The strain field, when integrated, gives a SINGLE-VALUED continuous displacement field (no gaps, no overlaps)', 'label': 'B'}
6 strain components must derive from 3 displacement components, so they are not independent. Saint-Venant's compatibility equations (6 of them in 3D) ensure the strain field is geometrically consistent — a "compatible" deformation.
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