$2$a$.$ i$)$ Make a schematic plot showing the tensile engincering stress$-$strain behavior for a typical ductile metal alloy to the point of fracture. Now define:

a$)$ Ultimate Tensile Strength

b$)$ Resilience

c$)$ Elastic strain recovery

d$)$ Strain hardening.

In briefly explaining these terms, make reference to the atomic origins of these terms whenever possible. Use as many sketches as needed for defining these terms. $(5$ points$)\mathrm{.}2$a$.$ i$)$ Make a schematic plot showing the tensile engincering stress$-$strain behavior for a typical ductile metal alloy to the point of fracture. Now define:

a$)$ Ultimate Tensile Strength

b$)$ Resilience

c$)$ Elastic strain recovery

d$)$ Strain hardening.

In briefly explaining these terms, make reference to the atomic origins of these terms whenever possible. Use as many sketches as needed for defining these terms. $(5$ points$).$