Micromechanics-based interfacial debonding model for damage of functionally graded materials with particle interactions

G. H. Paulino, H. M. Yin, L. Z. Sun

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


A micromechanical damage model is developed for two-phase functionally graded materials (FGMs) considering the interfacial debonding of particles and pair-wise interactions between particles. Given an applied mechanical loading on the upper and lower boundaries of an FGM, in the particle-matrix zones, interactions from all other particles over the representative volume element (RVE) are integrated to calculate the homogenized elastic fields. A transition function is constructed to solve the elastic field in the transition zone. The progressive damage process is dependent on the applied loading and is represented by the debonding angles which are obtained from the relation between particle stress and interfacial strength. In terms of the elastic equivalency, debonded, isotropic particles are replaced by perfectly bonded, orthotropic particles. Correspondingly, the effective elasticity distribution in the gradation direction is solved. The computational implementation is discussed and numerical simulations are provided to illustrate the capability of the proposed model.

Original languageEnglish (US)
Pages (from-to)267-288
Number of pages22
JournalInternational Journal of Damage Mechanics
Issue number3
StatePublished - Jul 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


  • Damage mechanics
  • Functionally graded materials (FGMs)
  • Interfacial debonding
  • Micromechanical modeling
  • Pair-wise particle interaction


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