Yes, in viscoelasticity, modeling real time is critical, so you can use viscoelastic material in static structural analyses. Transient analyses include damping and inertial effects, but if you have a situation where these effects are not important (e.g., constant load applied for a long time; thermal cycling applications), then viscoelastic materials are perfectly suitable in a static analysis.
Does it make sense to use viscoelastic material in static structural since it requires the calculation of strain rate?
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