Macroscopic damping model for structural dynamics with random polycrystalline configurations

doi:10.1007/s10409-017-0733-0

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Macroscopic damping model for structural dynamics with random polycrystalline configurations
	Yang, Yantao 1; Cui, Junzhi1 ; Yu, Yifan 1; Xiang, Meizhen 2
刊名	ACTA MECHANICA SINICA
	2018-06-01
卷号	34 期号:3 页码:493-506
关键词	Polycrystalline cluster Dynamical equation Damping coefficient Two-scale homogenization method Atomic-Continuum Coupled Model
ISSN号	0567-7718
DOI	10.1007/s10409-017-0733-0
英文摘要	In this paper the macroscopic damping model for dynamical behavior of the structures with random polycrystalline configurations at micro-nano scales is established. First, the global motion equation of a crystal is decomposed into a set of motion equations with independent single degree of freedom (SDOF) along normal discrete modes, and then damping behavior is introduced into each SDOF motion. Through the interpolation of discrete modes, the continuous representation of damping effects for the crystal is obtained. Second, from energy conservation law the expression of the damping coefficient is derived, and the approximate formula of damping coefficient is given. Next, the continuous damping coefficient for polycrystalline cluster is expressed, the continuous dynamical equation with damping term is obtained, and then the concrete damping coefficients for a polycrystalline Cu sample are shown. Finally, by using statistical two-scale homogenization method, the macroscopic homogenized dynamical equation containing damping term for the structures with random polycrystalline configurations at micro-nano scales is set up.
资助项目	National Basic Research Program of China (973 Program)[2012CB025904] ; National Natural Science Foundation of China[11102221] ; State Key Laboratory of Science and Engineering Computing (LSEC)
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000432609500008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/30312]
专题	计算数学与科学工程计算研究所
通讯作者	Cui, Junzhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Yang, Yantao,Cui, Junzhi,Yu, Yifan,et al. Macroscopic damping model for structural dynamics with random polycrystalline configurations[J]. ACTA MECHANICA SINICA,2018,34(3):493-506.
APA	Yang, Yantao,Cui, Junzhi,Yu, Yifan,&Xiang, Meizhen.(2018).Macroscopic damping model for structural dynamics with random polycrystalline configurations.ACTA MECHANICA SINICA,34(3),493-506.
MLA	Yang, Yantao,et al."Macroscopic damping model for structural dynamics with random polycrystalline configurations".ACTA MECHANICA SINICA 34.3(2018):493-506.