Question

There are a variety of models that can be used to describe viscoelastic behaviors. In which of the following models will the elastic response be hindered by viscous resistance: a) the Maxwell model or b) the Voigt model? Explain your answer in your own words. 

Answer 1

Elastic response gives information on how the material deform and become strained when subjected to a given stress

The elastic component in viscoelastic behavior is given by

$\sigma_{\varepsilon}=E{\varepsilon}$

Where $\sigma_{E}=$ Elastic component

E $=$ Elastic modulus of the material

$\varepsilon=$ Strain that occurs under the given stress

The viscous component is given by

$\varepsilon_{v}=\eta\frac{d{\varepsilon}}{dt}$

Where $\varepsilon_v=$ Viscous component

$\eta=$ Viscosity of the material

$\frac{d{\varepsilon}}{dt}=$ time derivative of strain

In maxwell model the movement of spring is not restricted by the dash-pot in series

In Voigt model, the dash-pot and the spring are parallel. The strain in each component are identical, but stress can be different for each component if the dash-pot bear all the stress then. Elastic response of the spring will be hindered.