FEM formulation of homogenization method for effective properties of periodic heterogeneous beam and size effect of basic cell in thickness direction
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论文类型：期刊论文
发表时间：2015-08-01
发表刊物：COMPUTERS & STRUCTURES
收录刊物：Scopus、EI、SCIE
卷号：156
页面范围：1-11
ISSN号：0045-7949
关键字：Asymptotic homogenization; Effective stiffness; Periodic beam structure; Finite element method; Size effect
摘要：This paper applies the asymptotic homogenization method to predict effective properties of periodic heterogeneous beam structures. A improved FEM formulation and algorithm of the unit cell problems is developed. The effective properties are rewritten in terms of the nodal quantities of the FEM model of the unit cell. With this approach, periodic beam structure of complicated microstructure can be modeled by various elements and modeling techniques and solved by using the commercial software as a black box. Numerical examples illustrate the versatility and efficiency of the method. Finally, the size effect of basic cell in thickness direction is studied. (C) 2015 Elsevier Ltd. All rights reserved.