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    A novel asymptotic expansion homogenization analysis for 3-D composite with relieved periodicity in the thickness direction

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    Type
    Article
    Authors
    Nasution, Muhammad Ridlo Erdata
    Watanabe, Naoyuki
    Kondo, Atsushi
    Yudhanto, Arief cc
    KAUST Department
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2014-06
    Permanent link to this record
    http://hdl.handle.net/10754/563569
    
    Metadata
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    Abstract
    A new asymptotic expansion homogenization analysis is proposed to analyze 3-D composite in which thermomechanical and finite thickness effects are considered. Finite thickness effect is captured by relieving periodic boundary condition at the top and bottom of unit-cell surfaces. The mathematical treatment yields that only 2-D periodicity (i.e. in in-plane directions) is taken into account. A unit-cell representing the whole thickness of 3-D composite is built to facilitate the present method. The equivalent in-plane thermomechanical properties of 3-D orthogonal interlock composites are calculated by present method, and the results are compared with those obtained by standard homogenization method (with 3-D periodicity). Young's modulus and Poisson's ratio obtained by present method are also compared with experiments whereby a good agreement is particularly found for the Young's modulus. Localization analysis is carried out to evaluate the stress responses within the unit-cell of 3-D composites for two cases: thermal and biaxial tensile loading. Standard finite element (FE) analysis is also performed to validate the stress responses obtained by localization analysis. It is found that present method results are in a good agreement with standard FE analysis. This fact emphasizes that relieving periodicity in the thickness direction is necessary to accurately simulate the real free-traction condition in 3-D composite. © 2014 Elsevier Ltd.
    Citation
    Nasution, M. R. E., Watanabe, N., Kondo, A., & Yudhanto, A. (2014). A novel asymptotic expansion homogenization analysis for 3-D composite with relieved periodicity in the thickness direction. Composites Science and Technology, 97, 63–73. doi:10.1016/j.compscitech.2014.04.006
    Sponsors
    Authors would like to extend their gratitude to the Tokyo Metropolitan Government for the financial support under the project of Asian Network of Major Cities 21 (ANMC-21).
    Publisher
    Elsevier BV
    Journal
    Composites Science and Technology
    DOI
    10.1016/j.compscitech.2014.04.006
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.compscitech.2014.04.006
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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