PLEASE FILL OUT TABLES AS SHOWN IN IMAGE

Problem $1.$ Phase Diagram Containing Three$-$Phase Reactions $(20$ points$)$

Suppose that age hardening is possible in the Al$-$Mg system. $($See Figure $12-10.)$

Figure $12-10$: ine alum$$num$-$magnes$$um pnase diagram

a$)$ Recommend an artificial age$-$hardening heat treatment for each of the following alloys;

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Artificial aging treatment & Al$-4\backslash \%$ Mg; & Al$-6\backslash \%$ Mg; & Al$-12\backslash \%$ Mg; $\backslash \backslash$

$\backslash$hline Solution treatment $($Temperature range$)$ & & & $\backslash \backslash$

$\backslash$hline Quenching & & & $\backslash \backslash$

$\backslash$hline Aging $($temperature limit: Solvus$)$ & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$1$

MEE $312$ Engineering Materials

b$)$ Compare the amount of the $\backslash (\backslash$beta $\backslash )$ precipitate that forms from your treatment of each alloy:

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|\}$

$\backslash$hline & $\backslash$multicolumn$\{2\}\{|$c$|\}\{$ Al$-4\backslash \%$ Mg; $\}$ & Al$-6\backslash \%$ Mg; $\backslash \backslash$

$\backslash$hline Composition $(\backslash \%$ Mg$)$ & $\backslash (\backslash$bullet $\backslash$alpha $\backslash )$ & & Al$-12\backslash \%$ Mg; $\backslash \backslash$

& $\backslash (\backslash$bullet $\backslash$beta $\backslash )$ & & $\backslash \backslash$

$\backslash$hline Amount of $\backslash (\backslash$beta $\backslash )$ & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$