Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints

Jinming Zhang; Liangliang Zhang; Mu Xiang; Yang Gao; Ernian Pan

doi:10.1115/1.4064788

Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints

Jinming Zhang, Liangliang Zhang^*, Mu Xiang, Yang Gao^*, Ernian Pan^*

^*此作品的通信作者

土木工程學系

研究成果: Article › 同行評審

摘要

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.

原文	English
文章編號	061006
期刊	Journal of Applied Mechanics, Transactions ASME
卷	91
發行號	6
DOIs	https://doi.org/10.1115/1.4064788
出版狀態	Published - 1 6月 2024

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title = "Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints",

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.",

keywords = "anisotropy factors, elasticity, fundamental solutions, generalized Elliott-Lodge solutions, generalized Lekhnitskii-Hu-Nowacki solutions, Green's function, mechanical properties of materials, orthorhombic quasicrystals",

author = "Jinming Zhang and Liangliang Zhang and Mu Xiang and Yang Gao and Ernian Pan",

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T1 - Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints

AU - Zhang, Jinming

AU - Zhang, Liangliang

AU - Xiang, Mu

AU - Gao, Yang

AU - Pan, Ernian

PY - 2024/6/1

Y1 - 2024/6/1

N2 - 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.

AB - 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.

KW - anisotropy factors

KW - elasticity

KW - fundamental solutions

KW - generalized Elliott-Lodge solutions

KW - generalized Lekhnitskii-Hu-Nowacki solutions

KW - Green's function

KW - mechanical properties of materials

KW - orthorhombic quasicrystals

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M3 - Article

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SN - 0021-8936

VL - 91

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

IS - 6

M1 - 061006

ER -

Three-Dimensional General Solutions of Orthorhombic Quasicrystals With Constraints

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