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.