  In the present work, we investigate stochastic third grade fluids equations
in a $d$-dimensional setting, for $d = 2, 3$. More precisely, on a bounded and
simply connected domain $\mathcal{D}$ of $\mathbb{R}^d$, $d = 2,3$, with a
sufficiently regular boundary $\partial \mathcal{D},$ we consider
incompressible third grade fluid equations perturbed by a multiplicative Wiener
noise. Supplementing our equations by Dirichlet boundary conditions and taking
initial data in the Sobolev space $H^1(\mathcal{D})$, we establish the
existence of global stochastic weak solutions by performing a strategy based on
the conjugation of stochastic compactness criteria and monotonicity techniques.
Furthermore, we study the asymptotic behaviour of these solutions, as $t \to
\infty$.
