Effective properties of cossert composites with periodic microstructure.pdfVIP

　　Kobe University Repository : Kernel Title Effective properties of cosserat composites w ith periodic microstructure Author(s) Tomita, Yoshihiro / Yuan, Xi Citation Mechanics Research Communications, 8(3): 65- 70 Issue date 001-05 Resource Type Journal Article / 学術雑誌論文 Resource Version author URL http://www.lib.kobe-u.ac.jp/handle_kernel/900000 3 Create Date: 014-0 -1 Xi Yuan*, Yoshihiro Tomita** *Gradate School of Science Technology, Kobe University, Kobe 657-8501, Japan **Faculty of Engineering, Kobe University, Kobe 657-8501, Japan In the last three decades, numbers of homogenization theories have been developed in order to predict the macroscopic behavior of heterogeneous materials from their microstructure. However, most of these theories are developed in the field of the classical continuum mechanics and give results independent of the scale of the microstructure. Despite the conspicuous development of the generalized continuum or nonlocal theories recently, works concerning the homogenization analysis of heterogeneous nonlocal continuum, e.g. [1,2], is rather rare and most characters of such kind of heterogeneous medium are not clear yet. The aim of this work is to develop a homogenization method for heterogeneous Cosserat materials. Such materials [3-5] are characterized by rotational degrees of freedom , which are independent of the translational motion . They belong to nonlocal continuum and have found much application, e.g. [6-8], now. We [9,10] once developed a homogenization method for this type of material by asymptotic homogenization approach. In this paper, a homogenization method is der