A Nitinol wire with the material properties shown in Table Q$5$ is loaded to introduce a superelastic effect with full phase transformation $($point $\backslash ($ a $\backslash )$ to $\backslash ($ c $\backslash )).$ The initial temperature is $\backslash (53^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and the material is initially in full austenitic phase.

$($a$)$ Determine the stress and strain at points $\backslash ($ b$,$ c$,$ d $\backslash )$ and $\backslash ($ e $\backslash )$ of the stress$-$strain diagram schematically shown in Figure Q$4.$

$($b$)$ Draw the exact stress$-$strain curve based on your results in $($a$).$

Table Q$5.$ Representative properties of Nitinol