$3\mathrm{.}5$ For the displacement field given by:

$u_x=(x^2+2y^{2}z+yz){10}^{-2}$

$u_y=(xy+xz+3x^{2}z){10}^{-2}$

$u_z=(4y^3+2z^2){10}^{-2}$

determine,

$($a$)$ Lagrangian finite strain components

$($b$)$ Eulerian finite strain components

$($c$)$ Lagrangian infinitesimal strains

and

$($d$)$ Eulerian infinitesimal strainsCalculate