Fundamental elastic field in an infinite plane of two-dimensional piezoelectric quasicrystal subjected to multi-physics loads

Abstract

• Green's functions of 2D decagonal piezoelectric QCs in an infinite plane are obtained. • The effects of the phason field on the generalized displacement and stress are analyzed. • The piezoelectric effect of 2D decagonal piezoelectric QCs is shown. • Mechanical change regulations under different material constants are discussed. By utilizing the extended Stroh formalism, the Green's function of infinite plane is obtained for the problem of two-dimensional decagonal quasicrystals with the piezoelectric effect subjected to multi-physics loads. By numerical computations, the piezoelectric effect of the two-dimensional decagonal quasicrystals is revealed; the changes of the stress and displacement fields with multi-physics loads are discussed. The variation laws of material constants in stress and displacement fields are investigated. The results show that the effect of the phason field on the generalized displacement is larger than that on the generalized stress; and the effects of material parameters are different in diverse field.