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	A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures
	Wang, Dongdong ; Fang, Lingming ; Wang DD(王东东)
	2010
英文摘要	A multiscale method is presented for analysis of thin slab structures in which the microstructures can not be reduced to two-dimensional plane stress models and thus three dimensional treatment of microstructures is necessary. This method is based on the classical asymptotic expansion multiscale approach but with consideration of the special geometric characteristics of the slab structures. This is achieved via a special form of multiscale asymptotic expansion of displacement field. The expanded three dimensional displacement field only exhibits in-plane periodicity and the thickness dimension is in the global scale. Consequently by employing the multiscale asymptotic expansion approach the global macroscopic structural problem and the local microscopic unit cell problem are rationally set up. It is noted that the unit cell is subjected to the in-plane periodic boundary conditions as well as the traction free conditions on the out of plane surfaces of the unit cell. The variational formulation and finite element implementation of the unit cell problem are discussed in details. Thereafter the in-plane material response is systematically characterized via homogenization analysis of the proposed special unit cell problem for different microstructures and the reasoning of the present method is justified. Moreover the present multiscale analysis procedure is illustrated through a plane stress beam example.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/64837]
专题	建筑土木－已发表论文
推荐引用方式 GB/T 7714	Wang, Dongdong,Fang, Lingming,Wang DD. A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures[J],2010.
APA	Wang, Dongdong,Fang, Lingming,&王东东.(2010).A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures..
MLA	Wang, Dongdong,et al."A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures".(2010).

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