A novel mechanical model is proposed for graphene-like two-dimensional(2D) atomic crystals based on micromorphic continuum theory,in which the macro-displacement and micro-deformation of a basal element in the Bravais cell of finite size are considered.The governing equations of the model are derived from the basic equations of micromorphic theory in global coordinates.For the Bravais cell of graphene-like crystals containing two atoms,the secular equations of phonon dispersions are then obtained in micromo...