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タイトル
和文: 
英文:Finite heterogeneous element method using sliced microstructures for linear elastic analysis 
著者
和文: 鈴木 良郎.  
英文: Yoshiro Suzuki.  
言語 English 
掲載誌/書名
和文: 
英文:International Journal for Numerical Methods in Engineering 
巻, 号, ページ Vol. 98    10    pp. 703–720
出版年月 2014年6月 
出版者
和文: 
英文:Wiley 
会議名称
和文: 
英文: 
開催地
和文: 
英文: 
公式リンク http://onlinelibrary.wiley.com/doi/10.1002/nme.4648/full
 
DOI https://doi.org/10.1002/nme.4648
アブストラクト A new finite heterogeneous element consisting of sliced microstructures (FHES) is applied in a multi‒scale technique. The FHES represents a heterogeneous material with microscopic constituents without homogenization or microscopic finite element analysis. A representative volume element extracted from a heterogeneous structure is thinly sliced. Each slice is modeled as a combined spring to calculate properties of the FHES. Each FHES has the same number of nodes as an ordinary finite element, and the macroscopic analysis cost is the same as that for ordinary finite element analysis. However, the FHES retains information about the microscopic material layout (i.e., the distribution of a material's property) in itself that is lost during homogenization. In the proposed approach, materials are not homogenized. The FHES does not have a constant (homogenized) material property and can ‘change stiffness’ depending on its deformation behavior. This reduces error due to coarse‒graining and allows us to calculate the macroscopic deformation behavior with sufficient accuracy even if a large gradient of strain is generated in the macroscopic field. The novelty of the research is the development of rational heterogeneous finite elements. The paper presents the theory behind the FHES and its practical application to a linear elastic problem. Copyright © 2014 John Wiley & Sons, Ltd.

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