Article
Licensed
Unlicensed Requires Authentication

Critical plane concept and energy approach in multiaxial fatigue

This contribution represents an extended version of a keynote given during the 7th International Conference on Biaxial/Multiaxial Fatigue and Fracture (7th ICBMFF)
  • and
Published/Copyright: May 28, 2013
Become an author with De Gruyter Brill
Submit Manuscript Author Information
Materials Testing
From the journal Materials Testing Volume 47 Issue 5

Abstract

This paper aims to propose a new interpretation of several energy-based critical plane high cycle fatigue criteria. More exactly, the meaning of several global energy-based criteria is detailed from the calculation of normal and shear work on a critical plane. This study is limited to multiaxial fatigue under constant amplitude and synchronous loadings (proportional or non-proportional), with or without mean load. After a short review of some energy-based criteria using the critical plane concept or a global approach, the reasons why energy-based critical plane criteria are more and more developed in literature are summarized. It is shown that a direct link exists between critical plane energy parameters and global ones. A critical examination of the famous Findley et al. experiments is proposed and the previous link is illustrated with two mesoscopic criteria developed by Papadopoulos and the global energy-based criterion of Banvillet et al. This leads us to propose an interpretation of fatigue crack initiation from the mesoscopic scale up to the macroscopic scale either with stress and strain quantities or with strain energy parameters.

Kurzfassung

Der vorliegende Beitrag zielt auf eine neue Interpretation verschiedener energiebasierender ebener Kriterien für die Ermüdung bei hohen Lastwechseln. Genauer gesagt wird die Bedeutung verschiedener globaler ebener energiebasierender Kriterien aus Berechnungen der Normal- und Scherbeanspruchung einer kritischen Ebene detailliert. Die Betrachtung ist begrenzt auf die mehrachsige Ermüdung bei konstanter Amplitude und synchroner proportionaler und nicht proportionaler Beanspruchung, mit und ohne Hauptbeanspruchung. Nach einem kurzen Überblick einiger energiebasierender Kriterien unter Nutzung des Konzepts der kritischen Ebene oder eines globalen Ansatzes werden die Gründe dafür, warum die energiebasierenden Kriterien kritischer Ebenen in der Literatur immer weiter entwickelt werden, aufgezeigt. Es wird gezeigt, dass eine direkte Verbindung zwischen den Parametern der Energie kritischer Ebenen und globalen Parametern existiert. Es wird eine kritische Untersuchung der berühmten Experimente von Finley et al. vorgenommen und die angesprochene Verbindung wird anhand zweier von Papadopoulos entwickelten mesoskopischen Kriterien und dem auf der globalen Energie basierten Kriterium nach Banvillet et al. Beleuchtet. Dies führt zur Annahme, dass die Initiierung von Ermüdungsrissen von der mesoskopischen bis zur makroskopischen Betrachtung entweder mittels Spannungs- oder Dehnungsteilen oder mittels verformungsenergetischen Parametern interpretiert werden kann.

Dr. Thierry Palin-Luc was born in 1968. After obtained an engineering diploma at E.N.S.A.M. in 1991, he prepared a PhD thesis at LAMEFIP about the multiaxial fatigue of spheroidal graphite cast iron under combined loadings (defended in 1996). Since 1997, he has been an assistant professor in this laboratory. He works on multiaxial fatigue of materials and structures and developed volumetric energy-based multiaxial fatigue models.

Dr. Franck Morel was born in 1967. After obtained an engineering diploma at C.E.S.T.I. (SupMéca) in 1991, he wrote a PhD thesis at Poitiers (LMPM) about multiaxial loading under variable amplitude loading (defended in 1996). Since 1997, he has been an assistant professor first in Poitiers and now in Angers (ENSAM). His main fields of research are fatigue under complex loading and the influence of the material processing on the fatigue properties.

References

1 Macha, E.; Sonsino, C. M.: Energy criteria of multiaxial fatigue failure, Fat. Fract. Eng. Mat. Struct.22 (1999), pp. 1053–107010.1046/j.1460-2695.1999.00220.xSearch in Google Scholar

2 Ellyin, F.: A Criterion for fatigue under multiaxial states of stress. In: Mechanics Research Communications, 1 (1974), 4, pp. 219–22410.1016/0093-6413(74)90068-8Search in Google Scholar

3 Lefebvre, D.; Neale, K.; Ellyin, F.: A criterion for low-cycle fatigue failure under biaxial states of stresses, Trans. ASME JEMT103 (1988), pp. 1–6Search in Google Scholar

4 Ellyin, F.; Golos, K.: Multiaxial fatigue damage criterion, Trans. ASME JEMT110 (1988), pp. 63–68Search in Google Scholar

5 Leis, N.: An energy-based fatigue and creep-fatigue damage parameter, Trans. ASME JPVT99 (1997), pp. 524–533Search in Google Scholar

6 Garud, Y. S.: A new approach to the evaluation of fatigue under multiaxial loadings, Trans. ASME JEMT, 103 (1981), pp. 118–125Search in Google Scholar

7 Palin-Luc, T.; Lasserre, S.: An energy based fatigue criterion for high cycle multiaxial fatigue, Eur. J. Mechanics A/Solids, 17 (1998), 2, pp. 237–25110.1016/S0997-7538(98)80084-3Search in Google Scholar

8 BanvilletA.: Prévision de durée de vie en fatigue multiaxiale sous chargements réels: vers des essais accélérés, PhD Thesis, E.N.S.A.M. France (2001)Search in Google Scholar

9 Banvillet, A.; Palin-Luc, T.; Lasserre, S.; Vittori, J.-F.: Energy based high cycle multiaxial fatigue criterion depending on stress-strain distribution, in: Blom, A. F. (ed.): 8th Int. Fatigue Congress Fatigue (2002), Vol. 1, pp. 283–290Search in Google Scholar

10 Banvillet, A.; Palin-Luc, T.; Lasserre, S.: A volumetric energy based high cycle multiaxial fatigue criterion, Int. J. Fat., 25 (2003), pp. 755–76910.1016/S0142-1123(03)00048-3Search in Google Scholar

11 Smith, J.; Watson, P.; Topper, T.: A Stress Strain Function for Fatigue of Metals. Journal of Materials (JMLSA)4 (1970), 5, pp. 293–298Search in Google Scholar

12 Socie, D.: Critical Plane Approaches for Multiaxial Fatigue Damage Assesment, in: McDowell, D. L., Ellis, R. (ed.):Advances in Multiaxial Fatigue, ASTM STP 1191, ASTM, Philadelphia (1993), pp. 7–3610.1520/STP24793SSearch in Google Scholar

13 Chu, C. C.; Conle, F. A.; Bonnen, J. J.: Multiaxial stress-strain modelling and fatigue life prediction of SAE axle shafts, in: McDowell, D. L., Ellis, R. (ed.): Advances in Multiaxial Fatigue, ASTM STP 1191, ASTM, Philadelphia (1993), pp. 37–5410.1520/STP24794SSearch in Google Scholar

14 Liu, K. C.: A method based on virtual strain energy parameters for multiaxial fatigue life prediction, in: McDowell, D. L., Ellis, R. (ed.): Advances in Multiaxial Fatigue, ASTM STP 1191, ASTM, Philadelphia (1993), pp. 67–8410.1520/STP24796SSearch in Google Scholar

15 Glinka, G.; Shen, G.; Plumtree, A.: A multiaxial fatigue strain energy density parameter related to the critical fracture plane, Fat. Fract. Eng. Mat. Struct., 18 (1) (1995), pp. 37–6410.1111/j.1460-2695.1995.tb00140.xSearch in Google Scholar

16 Papadopoulos, I. V.: Fatigue limit of metals under in-phase and out-of-phase multiaxial stress conditions: application of the mesoscopic approach, Technical note No. I.93.100, Commission of the European Joint Research Centre, Ispra, Italy (1993), ISEI/IE 2496/93Search in Google Scholar

17 Papadopoulos, I. V.: (1993) Fatigue limit of metals under multiaxial stress conditions: the mesoscopic approach, Technical note No. I.93.101, Commission of the Joint Research Centre, Ispra, Italy, ISEI/IE 2495/93Search in Google Scholar

18 Morel, F.; Palin-Luc, T.; Froustey, C.: Comparative study and link between mesoscopic and energetic approaches in high cycle multiaxial fatigue, Int. J. Fatigue23 (2001), pp. 317–32710.1016/S0142-1123(00)00100-6Search in Google Scholar

19 Findley, W.; Mathur, P.; Szczepanski, E.; Temel, A.: Energy versus stress theories for combined stress – A fatigue experiment using a rotating disk, J. Basic Eng.83 (1961), Trans. ASME., pp. 10–1410.1115/1.3658878Search in Google Scholar

20 Park, J.; Nelson, D.: Evaluation of an energy-based approach and a critical plane approach for predicting constant amplitude multiaxial fatigue life, Int. J. Fatigue22 (2000), pp. 23–3910.1016/S0142-1123(99)00111-5Search in Google Scholar

Published Online: 2013-05-28
Published in Print: 2005-05-01

© 2005, Carl Hanser Verlag, München

Articles in the same Issue

  1. Inhalt/Contents
  2. Inhalt
  3. Fachbeiträge/Technical Contributions
  4. Multiaxial fatigue – methods, hypotheses and applications
  5. Present limitations in the assessment of components under multiaxial service loading
  6. State-of-the-art and future trends in multiaxial fatigue assessment
  7. Notch stress and strain approximation procedures for application with multiaxial nonproportional loading
  8. Critical plane concept and energy approach in multiaxial fatigue
  9. Schrauben aus hochfesten Aluminiumlegierungen*
  10. Application of a high temperature chamber for X-ray stress analysis
  11. Vorschau/Preview
  12. Vorschau
https://doi.org/10.3139/120.100660

Articles in the same Issue

  1. Inhalt/Contents
  2. Inhalt
  3. Fachbeiträge/Technical Contributions
  4. Multiaxial fatigue – methods, hypotheses and applications
  5. Present limitations in the assessment of components under multiaxial service loading
  6. State-of-the-art and future trends in multiaxial fatigue assessment
  7. Notch stress and strain approximation procedures for application with multiaxial nonproportional loading
  8. Critical plane concept and energy approach in multiaxial fatigue
  9. Schrauben aus hochfesten Aluminiumlegierungen*
  10. Application of a high temperature chamber for X-ray stress analysis
  11. Vorschau/Preview
  12. Vorschau
Downloaded on 13.4.2026 from https://www.degruyterbrill.com/document/doi/10.3139/120.100660/html
Scroll to top button