Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints-Reference-Cited by-同舟云学术

Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints

Published:2024-03-11 Issue:6 Volume:91 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Zhang Jinming¹²,Zhang Liangliang³,Xiang Mu³³,Gao Yang³,Pan Ernian⁴⁵

Affiliation:

1. China Agricultural University College of Science, , Beijing 100083 , China ;

2. Columbia University Department of Civil Engineering and Engineering Mechanics, , New York, NY 10027

3. China Agricultural University College of Science, , Beijing 100083 , China

4. National Yang Ming University Hospital Department of Civil Engineering, Disaster Prevention & Water Environment Research Center, Institute of Pioneer Semiconductor Innovation, , Hsinchu 300 , Taiwan

5. National Yang Ming Chiao Tung University Department of Civil Engineering, Disaster Prevention & Water Environment Research Center, Institute of Pioneer Semiconductor Innovation, , Hsinchu 300 , Taiwan

Abstract

Abstract This study employs the Lur'e operator method to derive generalized solutions for orthorhombic quasicrystals, incorporating anisotropy factors as constraints. The solutions derived contain the Lekhnitskii–Hu–Nowacki and Elliott–Lodge solutions as special cases. The corresponding fundamental solutions or Green's functions within the infinite space are also derived, offering a comprehensive characterization of quasicrystal anisotropy. It is noteworthy that Green's functions in orthorhombic quasicrystals can be simplified to those in hexagonal quasicrystals or conventional orthorhombic crystals, with possible broad engineering applications.

Funder

National Natural Science Foundation of China

Publisher

ASME International

Link

https://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/91/6/061006/7253223/jam_91_6_061006.pdf

Reference30 articles.

1. Metallic Phase With Long-Range Orientational Order and No Translational Symmetry;Shechtman;Phys. Rev. Lett.,1984

2. Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics

3. Quasicrystals: Physical Properties;Dvorak;Ceskoslovensky Casopis pro Fyziku, Sekce A,1988

4. Penrose Patterns and Related Structures. II. Decagonal Quasicrystals;Yamamoto;Acta Crystallogr. Sect. A: Found. Crystallogr.,1988

5. Phonons, Phasons, and Dislocations in Quasicrystals;Socolar;Phys. Rev. B,1986