$$\boldsymbol{\sigma} = \begin{Bmatrix} \sigma_x \\\\ \sigma_y \\\\ \sigma_z \\\\ \tau_xy \\\\ \tau_xz \\\\ \tau_yz \end{Bmatrix} = \begin{Bmatrix} \lambda + \mu_x \, x + \mu_y \, y\\\\ 0 \\\\ 0 \\\\ 0 \\\\ 0 \\\\ 0 \end{Bmatrix}$$

$$\boldsymbol{\varepsilon} = \begin{Bmatrix} \varepsilon_x \\\\ \varepsilon_y \\\\ \varepsilon_z \\\\ \gamma_{xy} \\\\ \gamma_{xz} \\\\ \gamma_{yz} \end{Bmatrix} = \begin{Bmatrix} \frac{\lambda + \mu_x \, x + \mu_y \, y}{E} \\\\ -\frac{\nu \, (\lambda + \mu_x \, x + \mu_y \, y)}{E} \\\\ -\frac{\nu \, (\lambda + \mu_x \, x + \mu_y \, y)}{E} \\\\ 0 \\\\ 0 \\\\ 0 \end{Bmatrix}$$