Determine the strain and rotation tensors e ij and ij for the following displacement fields: a.

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Determine the strain and rotation tensors eij and ωij for the following displacement fields:

a. u=Axy, v = Byz, w = C(x + z)

b. u=Ay, v=Bxy, w = Cyz

c. u=Axz, v=Bzy, w = C(x + y)

where A, B, and C are arbitrary constants.

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