= Dynamic modulus
{title2=$G^*(\omega)=G'(\omega)+iG''(\omega)$}
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= Complex viscoelastic modulus
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The <dynamic modulus> is the complex <stress>-amplitude to <strain>-amplitude ratio in steady oscillatory response. With the convention $e^{i\omega t}$, the real part is the <storage modulus> and the imaginary part is the <loss modulus>. For $\epsilon=\epsilon_0\cos\omega t$, $\sigma=\epsilon_0(G'\cos\omega t-G''\sin\omega t)$. The average supplied power is $\omega\epsilon_0^2G''/2$, fixing the loss-sign convention. The elastic coefficient is a shear or extension modulus according to the deformation measured; it is unrelated to the <complex modulus> meaning absolute value of a complex number.
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