考慮彈簧型不完美界面的一維正交準(zhǔn)晶有效彈性性能研究

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摘 要：基于彈簧型不完美界面的Mori-Tanaka方法，研究了一維正交準(zhǔn)晶復(fù)合材料有效彈性性能問題。給出了聲子場、相位子場與聲子-相位耦合場有效彈性常數(shù)的顯式表達式。特別地，詳細討論了夾雜的長徑比與體積分?jǐn)?shù)對準(zhǔn)晶復(fù)合材料有效彈性常數(shù)的影響。結(jié)果表明，考慮不完美界面使有效彈性常數(shù)一定程度上變小了。

關(guān)鍵詞：彈簧型不完美界面；一維正交準(zhǔn)晶；Mori-Tanaka方法；夾雜

中圖分類號：O343  文獻標(biāo)志碼：A

文章編號：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世紀(jì)80年代通過觀察急冷的鋁錳合金電子衍射圖像，意外地發(fā)現(xiàn)了準(zhǔn)晶體。（剩余7453字）