Recently, a rich collection of moire patterns has been observed in graphene deposited over flat crystalline substrates. The primary source of these patterns is the lattice constant mismatch between graphene and the substrate. I will discuss models for the formation of these patterns and related networks of wrinkles in supported graphene and other 2D materials. The Ginzburg-Landau-type model is based on a formal discrete-to-continuum procedure that, in particular, provides a continuum description of registry effects due to the atomistic van der Waals interactions. I will also present numerical results by which we qualitatively compare predictions of our models to discrete simulations.