A model of evolving damage bands in materials

Y. Huang*, X. Y. Gong, Z. Suo, Z. Q. Jiang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


This paper develops a model that incorporates damage band evolution at three levels: (i) at the mechanism level, the damage mechanisms, such as diffusive void growth and fatigue cracks, determine the damage growth rate ; (ii) at an intermediate level, the damage band is modeled as springs connecting undamaged materials, and the spring constants change as damage develops; (iii) at the continuum level, the damage band is modeled as an array of dislocations to satisfy equilibrium. We demonstrate this model with an example of a band of microcracks subject to remote tensile cyclic stress. It is observed that damage rapidly grows at the weakest regions in the band, and a macroscopic crack nucleates while the overall damage level is still very low. The model shows that there exists a critical number of cycles for macroscopic crack nucleation, Nnucleation, which depends on materials as well as the amplitude of applied cyclic stress. This critical number of cycles is insensitive to the size of damage cluster, but decreases rapidly as the local excess of damage increases.

Original languageEnglish (US)
Pages (from-to)3941-3951
Number of pages11
JournalInternational Journal of Solids and Structures
Issue number30
StatePublished - Oct 1997

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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