Periodic inclusions in anisotropic elasticity

Based on Stroh formalism we derive a novel and convenient scheme for determining the elastic fields of periodic inclusions embedded in an anisotropic medium. The solutions are valid not only for plane problems but also for antiplane problems and the problems whose inplane and antiplane deformations couple each other. The elastic fields in inclusions and medium are found very simply with the help of the generalized Hilbert boundary value method. In particular, it is found that a uniform stress state applied at infinity will induce constant states of stresses within inclusions similar to that of only one inclusion embedded in medium. Copyright (C) 1996 Elsevier Science Ltd