Efficient multiscale modeling framework for triaxially braided composites using generalized method of cells

Kuang C. Liu, Aditi Chattopadhyay, Brett Bednarcyk, Steven M. Arnold

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


In this paper, a framework for a three-scale analysis, beginning at the constituent response and propagating to the braid repeating unit cell (RUC) level, is presented. At each scale in the analysis, the response of the appropriate RUC is represented by homogenized effective properties determined from the generalized method of cells micromechanics theory. Two different macroscale RUC architectures are considered, one for eventual finite-element implementation and the other for material design, and their differences are compared. Model validation is presented through comparison to both experimental data and detailed finite-element simulations. Results show good correlation within range of experimental scatter and the finite-element simulation. Results are also presented for parametric studies varying both the overall fiber volume fraction and braid angle. These studies are compared to predictions from classical lamination theory for reference. Finally, the multiscale analysis framework is used to predict the onset of failure in a transversely loaded triaxially braided composite. The predicted transverse failure initiation stress value shows excellent correlation and provides the bound for which linear elastic constitutive models are acceptable for implementation.

Original languageEnglish (US)
Pages (from-to)162-169
Number of pages8
JournalJournal of Aerospace Engineering
Issue number2
StatePublished - Apr 1 2011


  • Composite materials
  • Design
  • Finite element method
  • Generalized method of cells
  • Homogenization
  • Localization
  • Material properties
  • Micromechanics
  • Multiscale modeling
  • Polymer matrix composites
  • Repeating unit cell
  • Triaxially braided composites

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanical Engineering


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