A Unified Model of Fatigue: 15 Years of Success in Automotive and Railway Applications

Ky Dang Van; A. Bignonnet

doi:10.3139/120.100875

Article

A Unified Model of Fatigue

15 Years of Success in Automotive and Railway Applications

Ky Dang Van and A. Bignonnet

Published/Copyright: May 28, 2013

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From the journal Materials Testing Volume 50 Issue 5

Abstract

The application of the shakedown theory to the analysis of the fatigue problems is presented. This point of view on the fatigue strength and the fatigue damage allows interpreting all types of industrial problems of fatigue in an efficient manner. The description of the stabilized mechanical state after shakedown at all scale, gives access to the engineering values which will drive the fatigue damage of the structure. The evolution of stress and strain tensors thus obtained for a cycle of fatigue, allows predicting the fatigue strength of structures. At high cycle fatigue, when elastic shakedown takes place, the fatigue strength can be described by a simple combination of shear amplitude and hydrostatic pressure at any point of the calculated structure, irrespective of the complexity of the structure and of the loading. At low cycle fatigue, from the stabilized state of the stress and strain, the fatigue strength is derived from a combination of the plastic, or the inelastic strain energy and the hydrostatic pressure. Numerous examples of fatigue analysis for different industrial areas are presented.

Kurzfassung

Im vorliegenden Beitrag wird die Anwendung der Shakedown-Theorie zur Analyse von Betriebsfestigkeitsfragen präsentiert. Dieser Standpunkt hinsichtlich der Betriebsfestigkeit und der Schädigung erlaubt in effizienter Weise die Interpretation aller industriellen Fragestellungen zur Betriebsfestigkeit. Die Beschreibung des stabilen mechanischen Zustandes nach dem Shakedown in allen Größen- ordnungen ermöglicht den Zugang zu den Daten, die die Schädigung einer Struktur bestimmen. Die Ermittlung der Spannungs- und Dehnungstensoren für einen Zyklus der Betriebsbeanspruchung erlaubt eine Vorhersage der Betriebsfestigkeit von Strukturen. Im Bereich hochfrequenter Lastwechsel, also, wenn elastischer Shakedown stattfindet, kann die Betriebsfestigkeit mit einer einfachen Kombination der Scheramplitude und dem hydrostatischen Druck an jedem Punkt der berechneten Struktur beschrieben werden, wie auch immer die Komplexität der Struktur und der Belastung aussieht. Im Bereich niederfrequenter Lastwechsel wird aus dem stabilisierten Spannungs- und Dehnungszustand die Betriebsfestigkeit aus einer Kombination der plastischen oder der inelastischen Dehnung und dem hydrostatischen Druck abgeleitet. Eine Vielzahl von Beispielen der Betriebsfestigkeitsanalyse aus unterschiedlichen Industriebereichen wird präsentiert.

Prof. Dr. Ky Dang Van, born in 1941, graduated from Ecole Nationale des Ponts et Chaussées of Paris and Docteur es Sciences of the University Paris 6. He is Directeur de Recherche CNRS (Research Director at French National Scientific Research Concil) and work at the Laboratoire de Mecanique des Solides, Ecole polytechnique. He has obtained different national and international awards and has published 80 papers.

André Bigonnet, is PhD Applied Mechanics and Materials and Independent consultant for Fatigue and Structural Reliability. He worked at the French Steel Research Institute until 1990. There he was responsible of fatigue research for bridges and steel offshore structures. 2004 he changed to PSA Peugeot Citroen and became there head of the Applied Mechanics, Material and Technology Research division. He is also Member of the Fatigue Committee at SF2M, Société Française de Métallurgie et des Matériaux.

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Published Online: 2013-05-28

Published in Print: 2008-05-01

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https://doi.org/10.3139/120.100875