A sample with a square cross$-$section of side $1m,$ shown below, is mechanically loaded

leading to the following displacement field: vec$(u)(r_1,r_2,r_3)=(0\mathrm{.}1r_1-0\mathrm{.}1r_2,0,0).$ Sketch the

shape of the deformed body in the figure below. To solve the problem, calculate the

positions of four corners of the square after the deformation, show these calculations on

the right of the figure.