Abstract
There are two distinct challenges in the development of a multi-scale damage percolation model: (i) the development and application of the micromechanical models used to predict damage initiation and evolution and (ii) obtaining the experimental particle distributions for the model to use. While the development of the micromechanical models and implementation of the percolation model is a significant endeavour, obtaining the experimental particle distributions is equally as challenging, and arguably more tedious.
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
Butcher, C. (2011). A multi-scale damage percolation model of ductile fracture. Ph.D. thesis, University of New Brunswick, Fredericton, NB, Canada.
Chen, Z. T. (2004). The role of heterogeneous particle distribution in the prediction of ductile fracture. Ph.D. thesis, University of Waterloo, Canada.
Gurson, A. L. (1977). Continuum theory of ductile rupture by void nucleation and growth – Part I. Yield criteria and flow rules for porous ductile media. Journal of Engineering Materials and Technology, 99, 2–15.
Hadianfard, M. J., Smerd, R., Winkler, S., & Worswick, M. (2008). Effects of strain rate on mechanical properties and failure mechanism of structural Al-Mg alloys. Materials Science and Engineering A, 492(2008), 283–292.
Lin, A., & Han, S. P. (2002). On the distance between two ellipsoids. Society for Industrial and Applied Mathematics, 13, 298–308.
Maire, E., Grenier, J. C., Daniel, D., Baldacci, A., Klocker, H., & Bigot, A. (2006). Quantitative 3D characterization of intermetallic phases in an Al-Mg industrial alloy by X-ray microtomography. Scripta Materialia, 55, 123–126.
Mangan, M. A., Spanos, G., & Kral, M. V. (1999). Correlation between the crystallography and morphology of proeutectoid cementite precipitates. Acta Materialia, 47, 4263–4274.
Orlov, O. (2006). A three-dimensional damage percolation model. Ph.D. thesis, University of Waterloo, Waterloo, Ontario, Canada.
Pierard, O., Gonzalez, C., Segurado, J., Llorca, J., & Doghri, I. (2007). Micromechanics of elasto-plastic materials reinforced with ellipsoidal inclusions. International Journal of Solids and Structures, 44, 6945–6962.
Worswick, M. J., Chen, Z. T., Pilkey, A. K., Lloyd, D., & Court, S. (2001). Damage characterization and damage percolation modeling in aluminum alloy sheet. Acta Materialia, 49, 2791–2803.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Chen, Z., Butcher, C. (2013). Three-Dimensional Particle Fields. In: Micromechanics Modelling of Ductile Fracture. Solid Mechanics and Its Applications, vol 195. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6098-1_8
Download citation
DOI: https://doi.org/10.1007/978-94-007-6098-1_8
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6097-4
Online ISBN: 978-94-007-6098-1
eBook Packages: EngineeringEngineering (R0)