Abstract
The explicit expression of Eshelby tensors for one-dimensional (1D) hexagonal quasicrystal composites is presented by using Green’s function method. The closed forms of Eshelby tensors in the special cases of spheroid, elliptic cylinder, ribbon-like, penny-shaped, and rod-shaped inclusions embedded in 1D hexagonal quasicrystal matrices are given. As an application of Eshelby tensors, the analytical expressions for the effective properties of the 1D hexagonal quasicrystal composites are derived based on the Mori-Tanaka method. The effects of the volume fraction of the inclusion on the elastic properties of the composite materials are discussed.
Highlights
Quasicrystals are a kind of solid ordered phases with amorphous rotational symmetry and long-range quasi-periodic ordering
Li[11] derived the elastic field in a 1D hexagonal quasicrystal infinite medium with planar cracks
According to 1D hexagonal quasicrystal elastic properties[22,23], the relationship between the effective properties and the volume fraction of the inclusion is discussed. It provides some theoretical guides for the evaluation of mechanical properties of 1D hexagonal quasicrystal composites
Summary
Quasicrystals are a kind of solid ordered phases with amorphous rotational symmetry and long-range quasi-periodic ordering. The properties of quasicrystals are affected by defects such as dislocations, cracks, holes, and inclusions. Guo and Pan[17] studied the three-phase cylinder model of 1D piezoelectric quasicrystal composites, and predicted the effective moduli of the piezoelectric quasicrystalline composites. Wang and Guo[18] obtained the exact closed-form solution of phonon, phase, and electric field stress in 1D piezoelectric quasicrystal composites with the confocal elliptic cylinder model. According to 1D hexagonal quasicrystal elastic properties[22,23], the relationship between the effective properties and the volume fraction of the inclusion is discussed. It provides some theoretical guides for the evaluation of mechanical properties of 1D hexagonal quasicrystal composites
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
