International Journal of Fracture

, Volume 175, Issue 2, pp 95–108 | Cite as

Dynamic crack nucleation and propagation in polycrystalline aluminum aggregates subjected to large inelastic deformations

  • K. I. Elkhodary
  • M. A. Zikry
Original Paper


The major objective of this work has been to apply a new compatibility-based fracture theory to the investigation of dynamic failure of polycrystalline metals and alloys. To model the nucleation and propagation of failure surfaces at the microstructural scale, under large deformations and dynamic loading conditions, a general fracture criterion based on the integral law of compatibility is used. This new fracture criterion, was coupled with rate-dependent dislocation-density based crystalline plasticity formulations to elucidate the microstructural mechanisms related to the evolution of intergranular and transgranular failure and to understand how grain sizes and strain-rate sensitivity affect aggregate strength, ductility, and dynamic damage tolerance. It is shown that cracks commonly nucleate at triple junctions and at grain boundaries as intergranular cracks, and that slip bands through grains result in transgranular cracks.


Dynamic fracture Cracks Polycrystals Crystalline plasticity Dislocation densities Large deformations Finite elements 


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  1. Ali AA, Podus GN, Sirenko AF (1979) Determining the thermal activation parameters of plastic deformation of metals from data on the kinetics of creep and relaxation of mechanical stresses. Strength Mater 11(5): 496CrossRefGoogle Scholar
  2. Anthony K.-H, Azirhi A (1995) Dislocation dynamics by means of lagrange formalism of irreversible processes—complex fields and deformation processes. Int J Eng Sci 33(15): 2137–2148CrossRefGoogle Scholar
  3. Ashmawi W, Zikry M (2002) Prediction of grain-boundary interfacial mechanisms in polycrystalline materials. J Eng Mater Technol 124(1): 88–96CrossRefGoogle Scholar
  4. Camacho GT, Ortiz M (1996) Computational modelling of impact damage in brittle materials. Int J Solids Struct 33(20-22): 2899–2938CrossRefGoogle Scholar
  5. Elkhodary KI, Zikry MA (2011) A fracture criterion for finitely deforming crystalline solids—the dynamic fracture of single crystals. J Mech Phys Solids 59(10): 2007–2022CrossRefGoogle Scholar
  6. Hibbitt HD, Karlsson BI, Sorensen EP (2007) Section 19.2.8: dynamic failure models. ABAQUS analysis user’s manual documentationGoogle Scholar
  7. Kameda T, Zikry MA (1996) Three dimensional dislocation-based crystalline constitutive formulation for ordered intermetallics. Scripta Mater 38(4): 631–636Google Scholar
  8. Kroner E et al (1981) Continuum theory of defects. In: Balian R (ed) Les Houches, session XXXV,1980-physics of defects. North-Holland, Amsterdam, pp 219–315Google Scholar
  9. Lee WM, Zikry MA (2011) Microstructural characterization of a high strength aluminum alloy subjected to high strain-rate impact. Metall Mater Trans A 42A(5): 1215–1221CrossRefGoogle Scholar
  10. Mughrabi H (1987) A tow parameter description of heterogeneous dislocation distributions in deformed metal crystals. Mater Sci Eng 85: 15–31CrossRefGoogle Scholar
  11. Nemat-Nasser S (2009) Plasticity. A treatise on finite deformation of heterogeneous inelastic materials. Cambridge monographs on mechanics. Cambridge University Press, CambridgeGoogle Scholar
  12. Orsini V, Zikry M (2001) Void growth and interaction in crystalline materials. Int J Plast 17(10): 1393–1417CrossRefGoogle Scholar
  13. Polmear IJ (2006) Light alloys: from traditional alloys to nanocrystals. Elsevier/Butterworth-Heinemann, Burlington, pp 153–154Google Scholar
  14. Smithells CJ (2004) Smithells metals reference book. In: Gale WF, Totemeier TC (eds) ASM international metals reference book, 8th edn, vol 1. Elsevier, Butterworth-Heinemann, BurlingtonGoogle Scholar
  15. Song J.-H, Wnag H, Belytschko T (2008) A comparative sutdy on finite element methods for dunamic fracture. Comput Mech 42: 239–250CrossRefGoogle Scholar
  16. Weertman J (1998) Dislocation based fracture mechanics. World Scientific Publishing, SingaporeGoogle Scholar
  17. Xu XP, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42(9): 1397–1434CrossRefGoogle Scholar
  18. Zikry M (1994) An accurate and stable algorithm for high strain-rate finite strain plasticity. Comput Struct 50(3): 14CrossRefGoogle Scholar
  19. Zikry MA, Kao M (1996) Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J Mech Phys Solids 44(11): 1765–1798CrossRefGoogle Scholar
  20. Zikry M, Kao M (1997) Inelastic microstructural failure modes in crystalline materials: the S33A ans S11 high angle grain boundaries. Int J Plast 13(4): 31CrossRefGoogle Scholar
  21. Zhu AW, Shiflet GJ, Starke EA (2006) First principles calculations for alloy design of moderate temperature age-hardenable Al alloys. Mater Sci Forum 519–521: 35–43CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringNorth Carolina State UniversityRaleighUSA

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