Аннотация:Mindlin–Tupin gradient theories of elasticity are considered, and a procedure is proposed to simplify general models with five moduli of elasticity to a gradient two-parameter model. It is shown that the simplified models are related to gradient models of the vector type, for which the quadratic form of the potential energy density is a convolution of vectors, and the number of physical additional parameters corresponds to the number of scaling characteristics in the system of resolving equations. Such models, called “vector” models, provide a classic view of static boundary conditions. For vector models, despite the fourth order of the resolving equations, there are no boundary conditions on the surface edges.