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A unified approach for high and low cycle fatigue based on shakedown concepts
Author(s) -
CONSTANTINESCU A.,
DANG VAN K.,
MAITOURNAM M. H.
Publication year - 2003
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1046/j.1460-2695.2003.00675.x
Subject(s) - shakedown , mesoscopic physics , bounded function , fatigue limit , structural engineering , fatigue testing , low cycle fatigue , dissipation , mathematics , materials science , engineering , physics , mathematical analysis , thermodynamics , finite element method , condensed matter physics
The purpose of this paper is to present a unified analysis to both high and low cycle fatigue based on shakedown theories and dissipated energy. The discussion starts with a presentation of the fatigue phenomena at different scales (microscopic, mesoscopic and macroscopic) and of the main shakedown theorems. A review of the Dang Van high cycle fatigue criterion shows that this criterion is essentially based on the hypothesis of elastic shakedown and can therefore be expressed as a bounded cumulated dissipated energy. In the low cycle fatigue regime, recent results by Skelton and Charkaluk et al . show that we can speak of a plastic shakedown at both mesoscopic and macroscopic scale and of a cumulated energy bounded by the failure energy. The ideas are also justified by infrared thermography tests permitting a direct determination of the fatigue limit.