Prediction of scatter in fatigue properties using discrete damage mechanics

A. Rinaldi, Pedro Peralta, D. Krajcinovic, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


Generic microstructures are represented via a two-dimensional discrete lattice of linear-elastic springs with a Normal distribution of static strengths. These springs represent grain boundaries and damage is constrained to intergranular cracking. The fatigue behavior is described with a Basquin law (the same in all springs), whereas damage accumulates via a Palmgren-Miner law. Lattices were 'cycled' under fully reversed strain and replicas with different local geometries were used to obtain statistics. Results show that geometrical disorder and load redistribution alone result in a lognormal distribution of cycles to failure at a fixed strain. Macroscopic Coffin-Manson behavior was observed, where the exponent was the same as in the Basquin law of individual springs. This indicates that lattice models can replicate experimentally observed behavior, while making it possible to study effects of microstructural and geometric variability separately. Discussion on size effects and how to extend the model to actual materials is offered.

Original languageEnglish (US)
Pages (from-to)1069-1080
Number of pages12
JournalInternational Journal of Fatigue
Issue number9
StatePublished - Sep 2006


  • Damage tolerance
  • Discrete models
  • Fatigue scatter
  • Heterogeneous microstructure
  • Size effects

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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