We prove a result on stochastic homogenisation of integral functionals of the form \(\begin{aligned} \int _{U} f\Big (\omega , x/\varepsilon , {\mathbb {A}}u\Big ) \textrm{d} x \end{aligned}\) where \(\omega \) is a random parameter, \(\varepsilon >0\) and \({\mathbb {A}}\) is a real elliptic vectorial differential operator. This work is intended to generalise results for the full gradient and to cover the cases of the symmetric gradient and the deviatoric operator. The homogenisation procedure is carried out by employing a variant of the blow-up method in the setting of \({\mathbb {A}}\) -Sobolev spaces along with the Akcloglu-Krengel subadditive ergodic theorem.
