Green's functions of one-dimensional quasicrystal bi-material with piezoelectric effect

•Green's functions of 1D piezoelectric quasicrystal bi-material are studied.•The coupled fields subjected to line forces or line dislocations are obtained.•Mechanical behavior under the effect of different material constants is researched.

Based on the Stroh formalism of one-dimensional quasicrystals with piezoelectric effect, the problems of an infinite plane composed of two different quasicrystal half-planes are taken into account. The solutions of the internal and interfacial Green's functions of quasicrystal bi-material are obtained. Moreover, numerical examples are analyzed for a quasicrystal bi-material subjected to line forces or line dislocations, showing the contour maps of the coupled fields. The impacts of changing material constants on the coupled field components are investigated.