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Adaptation of cumulative damage models to multiaxial fatigue*

Anpassung von Summationsschadensmodellen an die multiaxiale Ermüdung
  • Kimtangar Ngargueudedjim , Guy Anago and Jean-Louis Robert
From the journal Materials Testing

Abstract

Life assessment of structural components subjected to variable amplitude loading is usually based on the assumption of some cumulative damage rule. Many attempts have been made to describe the fatigue damage process that leads most often first to crack initiation and then to the material fatigue failure. Cumulative damage rules generally address uniaxial variable amplitude stress states. The present paper aims to present the adaptation of these damage models to multiaxial fatigue by the use of multiaxial fatigue criterion. The proposed procedure has one twofold aspect: a) the multiaxial endurance criterion is extended to the finite life domain b) one uniaxial stress cycle equivalent to the encountered complex multiaxial stress cycle is calculated by the multiaxial fatigue criterion. The equivalence is assumed on the basis of the material fatigue life. The proposed methodology is a priori available with any fatigue criterion and any cumulative damage theory.

Kurzfassung

Die Lebensdauerabschätzung von Strukturbauteilen, die einer Belastung mit variabler Amplitude unterworfen werden, basiert üblicherweise auf der Annahme einiger lokaler Schädigungsregeln. Es wurde viele Versuche unternommen, um den Schädigungsprozess infolge Ermüdung zu beschreiben, der in der überwiegenden Zahl der Fälle zunächst zur Rissinitiierung und zum Werkstoffversagen durch Ermüdung in einer Rissfortschrittsphase führt. Kumulative Schädigungsregeln adressieren allgemein Spannungszustände unter einachsiger variabler Beanspruchungsamplitude. Der vorliegende Beitrag zielt darauf ab, unter Nutzung eines multiaxialen Ermüdungskriteriums die Adaption dieser Schädigungsmodelle auf die multiaxiale Ermüdung darzustellen. Der propagierte Ansatz hat einen zweifachen Hintergrund: a) Das mutliaxiale Beständigkeitskriterium wird in den Bereich der begrenzten lebensdauer erweitert. b) Der dem entsprechenden multiaxialen Spannungszyklus äquivalente einachsige Spannungszyklus wird mittels des multiaxialen Ermüdungskriteriums berechnet. Die propagierte Methodologie ist a priori für alle Ermüdungskriterien und alle kumulativen Schädigungstheorien verfügbar.


Dr. Kimtangar Ngargueudedjim, born 1963, studied mechanics at the University of Metz, France. He received his PhD in 2003 from the National Institute of Applied Sciences (Lyon, France). His working field is fatigue damage accumulation under variable amplitude loading. He is now lecturer at the University of N'Djaména, Tchad. He works for the development of the Applied Mechanics Department of his University.

Dr. Guy Anago, born 1961, received his PhD in 2000 from the University of Abomey-Calavi, Benin. He is now lecturer of solid mechanics and mechanical design in this University. He is the head of the Mechanical Department of the University. His research field concerns the fatigue behaviour of aluminium that is produced in Cameroon. The experimental part of his research PhD work was carried out in the Laboratory of Solid Mechanics, within the National Polytechnic High School of Yaounde, Cameroon.

Pr. Jean-Louis Robert, born 1964, studied mechanical engineering at the National Institute of Applied Sciences (INSA), Lyon, France. He received his PhD in 1992 and became lecturer in the Industrial Engineering Department of INSA-Lyon in 1993. He has been professor of Blaise Pascal University – Clermont II since 1999 at the Technological Institute of Montluçon (France). He is a member of the LaMI laboratory. His main teaching field deals with mechanical design and strength of materials. His main research field is life prediction in multiaxial fatigue, especially of automotive components made of steel. Accounting for the influence of the manufacturing process as metal forming and cutting is included within this research working field.

*Contribution to the 7th International Conference on Biaxial/Multiaxial Fatigue and Fracture (7ICBMFF)


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Published Online: 2013-05-26
Published in Print: 2006-04-01

© 2006, Carl Hanser Verlag, München

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