Two-scale diffusion-deformation coupling model for material deterioration involving micro-crack propagation

Kenjiro Terada, Mao Kurumatani

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


In this paper, we introduce a two-scale diffusion-deformation coupled model that represents the aging material deterioration of two-phase materials involving micro-crack propagations. The mathematical homogenization method is applied to relate the micro - and macroscopic field variables, and a weak coupling solution method is employed to solve the two-way coupling phenomena between the diffusion of scalar fields and the deformation of quasi-brittle solids. The macroscopic mechanical behavior represented by the derived two-scale two-way coupled model reveals material nonlinearity due to micro-scale cracking induced by the scalar-field-induced deformation, which can be simulated by the finite cover method. After verifying the fundamental validity of the proposed model and the analysis method, we perform a simple numerical example to demonstrate their ability to predict aging material deterioration.

Original languageEnglish
Pages (from-to)426-451
Number of pages26
JournalInternational Journal for Numerical Methods in Engineering
Issue number4
Publication statusPublished - 2010 Jul 23


  • Aging deterioration
  • Finite cover method
  • Homogenization method
  • Micro-crack propagation
  • Multi-physics
  • Multi-scale


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