On the flexoelectric deformations of finite size bodies

摘要: Exact equations describing flexoelectric deformation in solids, derived previously within the framework of a continuum media theory, are partial differential fourth order. They too complex to be used cases interesting for applications. In this paper, using fact smallness elastic moduli higher order, simplified proposed. Solution exact is approximately represented as sum two parts: first part obeys one-dimensional and exponentially decays near surface second satisfies classical theory elasticity. The can constructed an explicit form. For part, boundary conditions obtained. have form body under external forces on surface.