Abstract
In this paper a numerical approach coupling independent path integrals, such as M-integral, to compute the crack driving forces namely the stress intensity factors, and empirical models, for instance Paris-Erdogan’s law, to assess the cumulative fatigue damage (i.e. crack size) during the crack growth process, is proposed. The M-integral derived from Nother’s theorem combines the real and virtual mechanical deformation and stress fields. A finite element routine is developed in order to compute the energy release rate according to the stress intensity factors. Results are given for a simple standard Al7075-T6 tensile test specimen. Finally, numerical estimates are compared to experimental data for various crack length in order to prove the efficiency and the accuracy of the proposed model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Paris, P., Erdogan, F.: A critical analysis of crack propagation laws. J. Basic Eng. 85, 528–534 (1963)
Bui, H.D., Proix, J.M.: Découplage des modes mixtes de rupture en thermoélasticité linéaire par les intégrales indépendantes du contour. In: Actes du troisième colloque Tendances Actuelles en Calcul de Structure, Bastia, pp. 631–643 (1985)
Riahi, H., Moutou Pitti, R., Dubois, F., Chateauneuf, A.: Mixed-mode fracture analysis combining mechanical thermal and hydrological effects in an isotropic and orthotropic material by means of invariant integrals. Theor. Appl. Fract. Mech. 85(Part B), 424–434
Suo, X.G., Combescure, A.: On the application of the Gθ method and its comparison with the Lorenzi’s approach. Nucl. Eng. Des. 135, 207–224 (1992)
Tada, H., Paris, P.C., Irwin, G.R.: The Stress Analysis of Crack Handbook, 3rd edn. ASME, New York (2000)
Grandt Jr., A.F.: Stress intensity factors for some through-cracked fastener holes. Int. J. Fract. 11(2), 283–294 (1975)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Moutou Pitti, R., Riahi, H., Haile, M.A. (2018). Generalization of Integral Parameters to Fatigue Loading in Room Temperature. In: Carroll, J., Xia, S., Beese, A., Berke, R., Pataky, G. (eds) Fracture, Fatigue, Failure and Damage Evolution, Volume 7. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-62831-8_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-62831-8_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-62830-1
Online ISBN: 978-3-319-62831-8
eBook Packages: EngineeringEngineering (R0)