Define the vector strain associated assuming the material linear isotropic elastic $(E,y)$

$\{\}=\{[{}_{}],[{}_{zz}],[{}_{xz}]\},$ and $,\{[{}_{}],[{}_{zz}],[{}_{xz}]\}=[C]\{[{}_{}],[{}_{zz}],[{}_{xz}]\}$

Define the displacements field $u(x,z)$ and $w(x,z)$ associated $($from strain$)$

Applying the following boundary conditions, define the full expression of $u(x,z)$ and

$w(x,z)$ :

$u=w=u_{\frac{?}{2}}=0$ at $x=z=0$