  We consider the role of deformations in graphene heterostructures with
hexagonal crystals (including strain, wrinkles and dislocations) on the
geometrical properties of moire patterns characteristic for a pair of two
incommensurate misaligned isostructural crystals. By, employing a
phenomenological theory to describe generic moire perturbation in van der Waals
heterostructures of graphene and hexagonal crystals we investigate the
electronic properties of such heterostructure.
