Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface

Youngsoo Kim, Jiyoung Jung, Sangryun Lee, Issam Doghri, Seunghwa Ryu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Despite intense research on homogenization methods, it is a still challenging task to predict the nonlinear mechanical responses of visco-hyperelastic particle-reinforced composites. In this work, we propose an adaptive affine method, a novel mean-field homogenization method designed to ensure the consistency of the accumulated strain state and the concentration tensor, and apply the method to predict the mechanical responses of the composites in the large strain regime under uniaxial, cyclic, and biaxial loading conditions. Our method is also extended to predict the mechanical response in the presence of interfacial imperfections described by linear cohesive traction-separation laws. The analytic predictions are validated against finite element analyses of representative volume elements. We believe that our adaptive affine method can be extended to model various nonlinear responses of load-bearing composites including the effects of (visco)plasticity and finite deformation.

Original languageEnglish
Pages (from-to)72-84
Number of pages13
JournalApplied Mathematical Modelling
StatePublished - Jul 2022

Bibliographical note

Publisher Copyright:
© 2022


  • Adaptive affine method
  • Composite
  • Finite deformation
  • Homogenization
  • Interfacial imperfection
  • Linear comparison composite
  • Visco-hyperelastic


Dive into the research topics of 'Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface'. Together they form a unique fingerprint.

Cite this