Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure

doi:10.1007/s10483-016-2029-8

	Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
	Zhang, Yang 1; Cui, Junzhi1,2 ; Nie, Yufeng 1
	2016-02-01
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	37 期号:2 页码:253-264
摘要	The correspondence principle is an important mathematical technique to compute the non-ageing linear viscoelastic problem as it allows to take advantage of the computational methods originally developed for the elastic case. However, the correspondence principle becomes invalid when the materials exhibit ageing. To deal with this problem, a second-order two-scale (SOTS) computational method in the time domain is presented to predict the ageing linear viscoelastic performance of composite materials with a periodic structure. First, in the time domain, the SOTS formulation for calculating the effective relaxation modulus and displacement approximate solutions of the ageing viscoelastic problem is formally derived. Error estimates of the displacement approximate solutions for SOTS method are then given. Numerical results obtained by the SOTS method are shown and compared with those by the finite element method in a very fine mesh. Both the analytical and numerical results show that the SOTS computational method is feasible and efficient to predict the ageing linear viscoelastic performance of composite materials with a periodic structure.
关键词	second-order two-scale (SOTS) method ageing viscoelasticity composite material periodic structure
DOI	10.1007/s10483-016-2029-8
语种	英语
资助项目	National Natural Science Foundation of China[11471262]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000368989500010
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21844
专题	计算数学与科学工程计算研究所
通讯作者	Nie, Yufeng
作者单位	1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yang,Cui, Junzhi,Nie, Yufeng. Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,37(2):253-264.
APA	Zhang, Yang,Cui, Junzhi,&Nie, Yufeng.(2016).Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,37(2),253-264.
MLA	Zhang, Yang,et al."Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 37.2(2016):253-264.