In: Mechanical Engineering
Derive the constitutive model for a viscoelastic model that consists of a Voigt element (E1 for spring, and η for dashpot) in series with a spring (E2).
Now rearrange your expression so that all of the strain terms are on the right, and all of the stress terms are on the left. The strain portion of your constitutive model should read E1ηϵ+ϵ˙. What are the stress terms? In your symbolic expression, type E1 as "E_1", E2 as "E_2", σ as "sigma",and σ˙ as "sigmadot".
E1ηϵ+ϵ˙=