Question 4.
The design of a shock absorber is analogous to Kevin viscoelastic element which is composed of a spring (with
a Young's modulus E) and a dashpot (with a viscosity $\eta$). The creep deformation of a Kevin element under a
tress of $\sigma_0$ is described by the following equation:
$\epsilon = \frac{\sigma_0}{E}(1 - e^{-\frac{t}{\tau}})$
where, $\tau = \frac{\eta}{E}$, is the retardation time.
1) If $t = 3$ seconds, how long will it take for 90% of the creep to have occurred?
2) If you want to shorten the above time for 90% of the creep to have occurred to half, what will the