Steps towards a qualitative dynamics of damage evolution

J. P. Cusumano, A. Chatterjee

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


Basic elements of a qualitative dynamics of systems with slowly accumulating damage are presented. The relationship of averaging to equations relating damage evolution rate with current damage state and load is discussed. The particular case of a scalar damage variable with one load parameter is examined in some detail. Well-known phenomenological features of fatigue tests are used as a guide. Using asymptotic arguments for small initial damage, conditions are obtained under which the time to failure is essentially determined by the initial damage state, and essentially independent of the failure criterion. A suitable form for damage evolution equations is deduced for a class of fatigue problems. Comparisons with published data show that this qualitative dynamics approach produces a model that fits, and predicts, the data as closely as a more physically motivated fatigue model. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original languageEnglish (US)
Pages (from-to)6397-6417
Number of pages21
JournalInternational Journal of Solids and Structures
Issue number44
StatePublished - 2000

All Science Journal Classification (ASJC) codes

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


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