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原子尺度上的波
引用本文:孙晓强,刘瑶璐,胡宁.原子尺度上的波[J].重庆大学学报(自然科学版),2018,41(1):1-8.
作者姓名:孙晓强  刘瑶璐  胡宁
作者单位:重庆大学航空航天学院,重庆,400044 重庆大学航空航天学院,重庆400044;重庆大学机械传动国家重点实验室,重庆400044
基金项目:国家自然科学基金资助项目(11372104,11332013,11372363);重庆市自然科学基金资助项目(CSTC2015-JCYJA50021)。
摘    要:提出全同粒子以及虚粒子假设,并推导了二维速度控制条件,再结合原子势函数,在原子尺度上描述了线性波的传播。考虑晶格非谐性以及位错的影响,进一步探究了二阶非线性波的产生机理。理论分析表明,晶格非谐性和位错引起的晶格畸变会诱发产生高阶虚粒子,高阶虚粒子是高阶非线性波产生的关键因素,位错等材料早期非线性或细微损伤导致高阶虚粒子增多而引发明显的高次谐波,因此,可以通过探测高次谐波诊断材料早期损伤。

关 键 词:弹性波  原子势函数  晶格非谐性  位错  二次非线性波  结构或材料的非线性评价  elastic  wave  interatomic  potential  function  lattice  anharmonicity  dislocation  second-order  nonlinear  wave  evaluation  of  early-stage  nonlinearities  or  micro-damages  instructuresand  materials
收稿时间:2017/8/12 0:00:00

Wave at the atomic scale
SUN Xiaoqiang,LIU Yaolu and HU Ning.Wave at the atomic scale[J].Journal of Chongqing University(Natural Science Edition),2018,41(1):1-8.
Authors:SUN Xiaoqiang  LIU Yaolu and HU Ning
Institution:College of Aerospace Engineering Chongqing University, Chongqing 400044, P. R. China,College of Aerospace Engineering Chongqing University, Chongqing 400044, P. R. China and College of Aerospace Engineering Chongqing University, Chongqing 400044, P. R. China;The State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, P. R. China
Abstract:With proposing identical particle and virtual particle hypothesis, the control condition of two-dimensional velocity is derived,and the propagation of linear waves is described at the atomic scale with using interatomic potential functions.Furthermore, the generation mechanism of the second-order nonlinear waves is studied by considering the effects of lattice anharmonicity and dislocation. The study shows that the lattice distortion caused by lattice anharmonicity and dislocation induces high-order virtual particles, which are the key factor in generating the high-order nonlinear waves, and early-stage nonlinearities or micro-damages, e.g., dislocation, lead to the increase of the high-order virtual particles, which induces obvious high-order nonlinear waves. Therefore, the early-stage micro-damages can be identified by detecting the high-order nonlinear waves.
Keywords:elastic wave  interatomic potential function  lattice anharmonicity  dislocation  second-order nonlinear wave  evaluation of early-stage nonlinearities or micro-damages instructuresand materials
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