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Proofs for Phase Shifts |
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</math>
Now for the purely viscous case, where stress is proportional to strain
<math>
\sigma(t) = K \frac{d\epsilon}{dt}
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*Storage Modulus: <math> E' = \frac {\sigma_0} {\varepsilon_0} \cos \delta </math>
*Loss Modulus: <math> E'' = \frac {\sigma_0} {\varepsilon_0} \sin \delta </math>
*Phase Angle: <math> \delta = \arctan\frac {E''}{E'} </math>
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