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  

Study on the effective elastic properties of one-dimensional orthogonal quasicrystals considering spring-type imperfect interfaces

作　　者：武雨润 李璐 李联和[1,2,3] WU Yurun;LI Lu;LI Lianhe(School of Mathematics and Science,Inner Mongolia Normal University,010022 Hohhot,China;Inner Mongolia Applied mathematics Center,010022 Hohhot,China;Key Laboratory of Infinite Dimensional Hamiltonian System and Its Algorithm Application,Ministry of Education,010022 Hohhot,China)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022 [2]内蒙古自治区应用数学中心,呼和浩特010022 [3]无穷维哈密顿系统及其算法应用教育部重点实验室,呼和浩特010022

出　　处：《应用力学学报》2025年第1期149-156,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11962026,12002175,12162027,62161045);内蒙古国家自然科学基金资助项目(No.2020MS01018,2021MS01013);内蒙古自治区高校创新研究团队项目资助项目(No.NMGIRT2317);无穷维哈密顿系统及其算法应用教育部重点实验室开放课题资助项目(No.2023KFZD02)。

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。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.

关 键 词：弹簧型不完美界面 一维正交准晶 MORI-TANAKA方法 夹杂 

分 类 号：O343[理学—固体力学]