When viscoelasticity is modeled in the frequency domain, it will act as a loss factor damping. The complex modulus G*(
ω) is the frequency-domain representation of the stress relaxation function of viscoelastic material. It is defined as
where G' is the storage modulus,
G'' is the loss modulus, and their ratio
ηs = G''/G' is the loss factor. The term
G' defines the amount of stored energy for the applied strain, whereas
G'' defines the amount of energy dissipated as heat;
G',
G'', and
ηs can all be frequency dependent.