Deformation of thin chiral plates in strain gradient elasticity

•We derive a theory of chiral plates in the framework of gradient elasticity.•Stretching and flexure of plates cannot be treated independently of each other.•The boundary value problems are analysed.•The deformation of a chiral plate with a circular hole is investigated.

In this paper we derive a theory of thin chiral elastic plates in the framework of the strain gradient elasticity. A uniqueness result is established with no definiteness assumption on constitutive coefficients. In the equilibrium theory we derive the conditions under which the traction problem admits solution. The results are used to study the deformation of an infinite plate with a circular hole.