A Multiscale Homogenization Approach for Architectured Knitted Textiles

Dani Liu, Seid Koric, Antonios Kontsos

Research output: Contribution to journalArticlepeer-review


As a type of architectured material, knitted textiles exhibit global mechanical behavior which is affected by their microstructure defined at the scale at which yarns are arranged topologically given the type of textile manufactured. To relate local geometrical, interfacial, material, kinematic and kinetic properties to global mechanical behavior, a first-order, twoscale homogenization scheme was developed and applied in this investigation. In this approach, the equivalent stress at the far field and the consistent material stiffness are explicitly derived from the microstructure. In addition, the macrofield is linked to the microstructural properties by a user subroutine which can compute stresses and stiffness in a looped finite element (FE) code. This multiscale homogenization scheme is computationally efficient and capable of predicting the mechanical behavior at the macroscopic level while accounting directly for the deformation-induced evolution of the underlying microstructure

Original languageEnglish (US)
Article number111006
Pages (from-to)1-27
JournalJournal of Applied Mechanics, Transactions ASME
Issue number11
StatePublished - Nov 2019


  • Finite element analysis (fea) two-scale homogenization
  • Knitted textiles
  • Mechanical behavior

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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