Considering a $2$D stress condition in which the material is assumed to isotropic linear

elastic. The elastic constants are given as $E=200$GPa,$v=0\mathrm{.}3.$

Please find out the stress components if it is given that

${}_{11}={}_{22}=0\mathrm{.}005,{}_{12}={}_{21}=0\mathrm{.}002,$ and the rest of the strain components are zero.

If the stress being evaluated above is on a surface with normal vector in the direction

of $n=\frac{1}{\sqrt[\phantom{2}]{2}}\{[1,0,1]\},$ please find out the traction $t$ on the surface using the formula

$t_i={}_{ji}{n}_j.$