Abstract
A framework for analysis of crack growth under cyclic loading conditions is discussed where plastic flow arises from the motion of large numbers of discrete dislocations and the fracture properties are embedded in a cohesive surface constitutive relation. The formulation is the same as used to analyze crack growth under monotonic loading conditions, differing only in the remote loading being a cyclic function of time. Fatigue, i.e. crack growth in cyclic loading at a driving force for which the crack would have arrested under monotonic loading, emerges in the simulations as a consequence of the evolution of internal stresses associated with the irreversibility of the dislocation motion. The predictions for the qualitative features of fatigue crack growth are in remarkable accord with experimental observations.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Paris P.C., Gomez M.P., Anderson W.P. A rational analytic theory of fatigue. Trend Engin 1961; 13:9–14.
Suresh S., Fatigue of Materials, Cambridge: Cambridge University Press, 1991.
Cleveringa H.H.M., Van der Giessen E, Needleman A. A discrete dislocation analysis of mode I crack growth. J Mech Phys Solids 2000; 48:1133–57.
Deshpande, V.S., Needleman, A., Van der Giessen, E. A discrete dislocation analysis of near-threshold fatigue crack growth. Acta Mat 2001; 49:3189–3203.
Deshpande, V.S., Needleman, A., Van der Giessen, E. Discrete dislocation modeling of fatigue crack propagation. Acta Mat 2002; 50:831–46.
Deshpande, V.S., Van der Giessen, E., Needleman, A. Discrete dislocation plasticity modeling of short cracks in single crystals. Acta Mat 2003; 51:1–15.
Deshpande, V.S., Needleman, A., Van der Giessen, E. Scaling of discrete dislocation predictions for near-threshold fatigue crack growth. Acta Mat 2003; to be published.
Needleman A. A continuum model for void nucleation by inclusion debonding. J Appl Mech 1987; 54:525–31.
Kubin L.P., Canova G., Condat M., Devincre B., Pontikis V., Bréchet Y. Dislocation microstructures and plastic flow: a 3D simulation. Solid State Phenomena 1992; 23–24:455–72.
Van der Giessen E., Needleman A. Discrete dislocation plasticity: a simple planar model. Modeling Simul Mater Sci Eng 1995; 3:689–735.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Deshpande, V.S., Needleman, A., Van der Giessen, E. (2004). Discrete Dislocation Predictions of Single Crystal Fatigue Crack Growth. In: Kitagawa, H., Shibutani, Y. (eds) IUTAM Symposium on Mesoscopic Dynamics of Fracture Process and Materials Strength. Solid Mechanics and its Applications, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2111-4_8
Download citation
DOI: https://doi.org/10.1007/978-1-4020-2111-4_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6576-6
Online ISBN: 978-1-4020-2111-4
eBook Packages: Springer Book Archive