Due to their out-of-equilibrium nature, materials such as amorphous solids, glasses or dense suspensions exhibit a history-dependent mechanical behavior. Mechanical annealing drastically affect the modes of deformation and failure. In recent years experiments and numerical simulations of disordered materials under oscillatory loading have unveiled puzzling properties such as the convergence to reversible plastic cycles or the possibility to record and read a past state of deformation. We give a short review of such memory effects and show how they can be reproduced in the simple framework of mesoscopic lattice-based elastoplastic models.