Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior

The different forms of second order elasticity operators, in Mindlin's strain-gradient elasticity, are given for a bi-dimensional physical space. These different forms are obtained according to the different symmetry classes of a material media. Dimensional aspects are discussed together with observations made on the physical behavior of such a media. (C) 2008 Elsevier Ltd. All rights reserved.