Surface effects on a mode-III reinforced nano-elliptical hole embedded in one-dimensional hexagonal piezoelectric quasicrystals

Abstract To effectively reduce the field concentration around a hole or crack, an anti-plane shear problem of nano-elliptical nano-crack pasting reinforcement layer in one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) is investigated subject to remotely mechanical and electrical loadings. The surface effect dielectric characteristics inside are considered for actuality. By utilizing technique conformal mapping complex variable method, phonon stresses, phason electric displacements matrix exactly derived under both electrically permeable impermeable boundary conditions. Three size-dependent intensity factors near tip further obtained when reduced nano-crack. Numerical examples illustrated show effects material properties reinforced layer, aspect ratio hole, thickness reinforcing on tip. results indicate that conditions have great nano-hole nano-crack, which useful optimizing designing microdevices by PQC nanocomposites engineering practice.