5. Mechanical Behavior

Plasticity — Quiz

Test your understanding of plasticity with 5 practice questions.

Practice Questions

Question 1

In the deviatoric stress plane (π-plane), which geometric shape represents the von Mises yield criterion?

Question 2

For a material under a triaxial stress state with principal stresses $\sigma_1=150\,\mathrm{MPa}$, $\sigma_2=100\,\mathrm{MPa}$, and $\sigma_3=50\,\mathrm{MPa}$, what is the von Mises equivalent stress $\sigma_{eq}$?

Question 3

A steel has Young’s modulus $E=210\,\mathrm{GPa}$ and yield strength $\sigma_y=350\,\mathrm{MPa}$. What is its modulus of resilience $U_r$?

Question 4

According to the Hall–Petch relationship, how does the yield strength $\sigma_y$ of a polycrystalline metal change with average grain diameter $d$?

Question 5

Given $\sigma_0=100\,\mathrm{MPa}$, $k=0.5\,\mathrm{MPa\,m^{1/2}}$, and average grain diameter $d=25\,\mu\mathrm{m}$, what is the yield strength $\sigma_y$?