Micromechanics of composites/Proof 9
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Relation between axial vector and strain[edit | edit source]Let be a displacement field. Let be the strain field (infinitesimal) corresponding to the displacement field and let be the corresponding infinitesimal rotation vector. Show that |
Proof:
The infinitesimal strain tensor is given by
Therefore,
Recall that
Hence,
Also recall that
Therefore,