The following multielement model of viscoelastic behavior is

The following multi-element model of viscoelastic behavior is called the Maxwell-Weichert model. It is a parallel combination of multiple Maxwell elements. Here, ?1,2 and ?1,2 are the stress and strain on elements 1 or 2 of the model and ?tot and ?tot are the total strain and stress on the model. The springs have a moduli E1 and E2. The dashpot has viscosity ?1 or ?2. Erelaxation is the relaxation modulus for the system. Which of the following mathematical expression is valid?

Solution

Option C