考虑弹簧型不完美界面的一维正交准晶有效弹性性能研究

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摘 要：基于弹簧型不完美界面的Mori-Tanaka方法，研究了一维正交准晶复合材料有效弹性性能问题。给出了声子场、相位子场与声子-相位耦合场有效弹性常数的显式表达式。特别地，详细讨论了夹杂的长径比与体积分数对准晶复合材料有效弹性常数的影响。结果表明，考虑不完美界面使有效弹性常数一定程度上变小了。

关键词：弹簧型不完美界面；一维正交准晶；Mori-Tanaka方法；夹杂

中图分类号：O343  文献标志码：A

文章编号：1000-4939（2025）01-0149-08

Study on the effective elastic properties of one-dimensional

orthogonal quasicrystals considering spring-type imperfect interfaces

WU Yurun1， LI Lu1， LI Lianhe1，2，3

（1.School of Mathematics and Science，Inner Mongolia Normal University，010022 Hohhot，China;

2.Inner Mongolia Applied mathematics Center，010022 Hohhot，China; 3.Key Laboratory of Infinite Dimensional Hamiltonian System and Its Algorithm Application，Ministry of Education，010022 Hohhot，China）

Abstract：The Mori-Tanaka method based on spring-type imperfect interface used to study the effective elastic properties of one-dimensional orthogonal quasicrystal composite materials.Explicit expressions for the effective elastic constants of phonon field，phason field，and phonon-phason coupling field are given.The effects of the aspect ratio and volume fraction of inclusions on the effective elastic constants of quasicrystal composite materials are discussed in detail.The results indicate that considering imperfect interfaces reduces the effective elastic constants to some extent.

Key words：spring-type imperfect interfaces; one-dimensional orthogonal quasicrystal; the Mori-Tanaka method; inclusions

SHECHTMAN等［1］在20世纪80年代通过观察急冷的铝锰合金电子衍射图像，意外地发现了准晶体。（剩余7453字）