A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration

doi:10.1016/j.euromechsol.2019.04.016

	A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration
	Yang, Zhiqiang 1,2; Sun, Yi 1; Cui, Junzhi3 ; Ge, Jingran 4
	2019-07-01
发表期刊	EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
ISSN	0997-7538
卷号	76 页码:235-246
摘要	A novel three-scale asymptotic expansion used to evaluate viscoelastic analysis of composites with multiple configuration is systematically studied. The heterogeneities of composite structures are described by periodic layout of unit cells on the microscale and mesoscale. Firstly, the three-scale asymptotic formulations based on homogenization approach and Laplace transform are established, and the local cell solutions in microscale and mesoscale are also defined. Further, two kinds of homogenized coefficients are derived by upscaling methods, and the homogenized equations are obtained on whole macroscopic domain. Also, the strain and stress fields are constructed as three-scale asymptotic solutions by assembling the unit cell solutions and homogenized solutions. Then, the finite element algorithms based on inverse Laplace transform and the three-scale asymptotic homogenization are proposed. Finally, some typical numerical results are employed to validate the presented approaches. They illustrate that the three-scale asymptotic approaches proposed in this paper are efficient and accurate for analyzing the viscoelastic problems of the composites with multiple configuration.
关键词	three-scale asymptotic homogenization Viscoelastic problems Laplace transform
DOI	10.1016/j.euromechsol.2019.04.016
语种	英语
资助项目	National Natural Science Foundation of China[11701123] ; National Natural Science Foundation of China[11802018] ; Fundamental Research Funds for the Central Universities
WOS研究方向	Mechanics
WOS类目	Mechanics
WOS记录号	WOS:000472691600019
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34984
专题	计算数学与科学工程计算研究所
通讯作者	Yang, Zhiqiang; Ge, Jingran
作者单位	1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China 2.Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2019,76:235-246.
APA	Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,&Ge, Jingran.(2019).A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,76,235-246.
MLA	Yang, Zhiqiang,et al."A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 76(2019):235-246.