A new multi-scale scheme for modeling heterogeneous incompressible hyperelastic materials

Amin Karamnejad*, Bert Sluijs

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A computational homogenization scheme is developed to model heterogeneous hyperelastic materials undergoing large deformations. The homogenization scheme is based on a so-called computational continua formulation in which the macro-scale model is assumed to consist of disjoint unit cells. This formulation adds no higher-order boundary conditions and extra degrees of freedom to the problem. A computational procedure is presented to calculate the macroscopic quantities from the solution of the representative volume element boundary value problem. The proposed homogenization scheme is verified against a direct numerical simulation. It is also shown that the computational cost of the proposed model is lower than that of standard homogenization schemes.

Original languageEnglish
Pages (from-to)580-602
JournalInternational Journal for Numerical Methods in Engineering
Issue number7
Publication statusPublished - 2016


  • Computational continua
  • Computational homogenization
  • Hyperelastic
  • Multi-scale model
  • Representative volume element


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