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

Handle URI:
http://hdl.handle.net/10754/563569
Title:
A novel asymptotic expansion homogenization analysis for 3-D composite with relieved periodicity in the thickness direction
Authors:
Nasution, Muhammad Ridlo Erdata; Watanabe, Naoyuki; Kondo, Atsushi; Yudhanto, Arief ( 0000-0002-8839-415X )
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
Elsevier BV
Journal:
Composites Science and Technology
Issue Date:
Jun-2014
DOI:
10.1016/j.compscitech.2014.04.006
Type:
Article
ISSN:
02663538
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).
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorNasution, Muhammad Ridlo Erdataen
dc.contributor.authorWatanabe, Naoyukien
dc.contributor.authorKondo, Atsushien
dc.contributor.authorYudhanto, Ariefen
dc.date.accessioned2015-08-03T11:54:41Zen
dc.date.available2015-08-03T11:54:41Zen
dc.date.issued2014-06en
dc.identifier.issn02663538en
dc.identifier.doi10.1016/j.compscitech.2014.04.006en
dc.identifier.urihttp://hdl.handle.net/10754/563569en
dc.description.abstractA 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.en
dc.description.sponsorshipAuthors 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).en
dc.publisherElsevier BVen
dc.subjectA. Fabrics/textileen
dc.subjectB. Thermomechanical propertiesen
dc.subjectC. Multiscale modelingen
dc.titleA novel asymptotic expansion homogenization analysis for 3-D composite with relieved periodicity in the thickness directionen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalComposites Science and Technologyen
dc.contributor.institutionDepartment of Aerospace Engineering, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino-shi, Tokyo 191-0065, Japanen
dc.contributor.institutionE-Xtream Engineering, MSC Software Company, 1-23-7 Nishishinjuku, Shinjuku-ku, Tokyo 160-0023, Japanen
kaust.authorYudhanto, Ariefen
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