Quasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number
of remarkable specific properties. However, QCs are usually brittle, and crack propagation …

The half-space Green's functions of phonon and phason fields in the constrained cubic
quasicrystals are derived for various boundary conditions. The analytical solutions of the …

Green's functions of infinite and semi-infinite plane problems of one-dimensional
quasicrystals with piezoelectric effect are obtained in a closed form by Stroh formalism …

As a solid material between the crystal and the amorphous, the study on quasicrystals has
become an important branch of condensed matter physics. Due to the special arrangement …

By means of the displacement potential function method, the plane elastic control equation
of two-dimensional hexagonal quasicrystals is reduced to a quadruple harmonic equation …

As a solid material between the crystal and the amorphous, the study on quasicrystals has
become an important branch of condensed matter physics. Due to the special arrangement …

General solutions for the semi‐infinite space of two‐dimensional (2D) piezoelectric
quasicrystals (QCs) are acquired by means of the potential theory method and the …

Based on the theory of quasicrystal (QC) with piezoelectric effect, the general solutions of a
two‐dimensional hexagonal QC under the thermo‐electric loadings are derived by using the …

This paper aims to develop three-dimensional fundamental thermo-elastic solutions for an
infinite/half-infinite space of a two-dimensional hexagonal quasi-crystal, which is subjected …