Elastic field for a blunt crack in a decagonal quasicrystalline material

Abstract

We show that the full-field solution for the plane strain deformations of a decagonal quasicrystalline material with traction-free parabolic boundary can be used to directly obtain the elastic field describing phonon and phason stresses as well as displacements in the vicinity of a blunt crack tip in a decagonal quasicrystalline material. The aforementioned full-field solution is derived by applying complex variable methods to the boundary value problem in the physical plane without any recourse to conformal mapping and a corresponding image plane.