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Viscoelastic Damping
In some cases damping is included implicitly in the material model. This is the case for a viscoelastic material, where damping operates on the shear components of stress and strain.
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.