Wave turbulence has been historically introduced for understanding the statistical equilibrium of water waves at the surface of water. The theory of wave turbulence is

based on an expansion of the dynamics for weak perturbations where the nonlinearities intervene through resonant interactions. Elastic plates offer a similar context

of dispersive linear wave that interact through nonlinear terms and theoretical predictions of a wave turbulence state in vibrating plates have been made almost ten years

ago. In this presentation, we will first present the wave turbulence theory applied to elastic plates. Then comparisons with recent experiments will be discussed, emphasing

in particular the role of the dissipation in the dynamics.