Question $3$

Consider the Maxwell material shown below in the case where a constant strain of e$\_(0)$ is applied at t$=0$

and retained for all time.

$1=$e$\_(0)$

Figure $3.$ Maxwell solid under constant strain

$($a$)$ Sketch out a rough graph showing the elastic, viscous and total strain as a function of time.

$($b$)$ Solve mathematically for the elastic and viscous strains as a function of time.

Hint: Begin with the constitutive equation and what you know about total strain $($ e$\_(0)).$

$($c$)$ On your sketch for part $($a$),$ in a different color, show what would happen to the total strain if all

forcing stopped at the moment the elastic and viscous strains were equal.