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Modeling the Effects of Dislocation–Density Interaction, Generation, and Recovery on the Behavior of H.C.P. Materials

  • Symposium: Dynamic Behavior of Materials VI
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Abstract

A dislocation–density-based multiple slip crystalline plasticity formulation and a specialized finite-element approach were developed and used to investigate behavior in hexagonal cubic packed with a focus on zircaloy-2 aggregates. The validated predictive framework can account for the interrelated effects of dislocation–density interactions, generation, and recovery. An energy criterion is used to identify 63 unique slip system interactions that can result in either junction formation or slip-system annihilation. These dislocation–density interactions, with the interrelated mechanisms due to recovery and generation, can then be used to understand and predict why basal planes are strengthening planes and prismatic planes are the dominant toughening planes.

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References

  1. J. Lévesque, K. Inal, K. W. Neale, and R. K. Mishra: Int. J. Plast., 2010, vol. 26, pp. 65.

    Article  Google Scholar 

  2. S. Graff, W. Brocks, and D. Steglich: Int. J. Plast., 2007, vol. 23, pp. 1957.

    Article  Google Scholar 

  3. K. Inal and R. K. Mishra: Procedia IUTAM, 2012, vol. 3, pp. 239.

    Article  Google Scholar 

  4. F. F. Lavrentev and Y. A. Pokhil: Materials Science and Engineering, 1975, vol. 18, pp. 261.

    Article  Google Scholar 

  5. N. Gey and M. Humbert: Acta Materialia, 2002, vol. 50, pp. 277.

    Article  Google Scholar 

  6. S. Suwas, R. K. Ray, A. K. Singh, and S. Bhargava: Acta Materialia, 1999, vol. 47, pp. 4585.

    Article  Google Scholar 

  7. S. Suwas and R. K. Ray: Scripta Mater., 2001, vol. 44, pp. 275.

    Article  Google Scholar 

  8. G. Lutjering and J.C. Williams: Titanium, Springer, Berlin, 2003

  9. A.T. Webster RT: ASM, 1990, vol. 2, p. 1328.

  10. Schemel J.H.: ASTM International, West Conshohocken, PA, 1977, .

    Google Scholar 

  11. S. R. Agnew, J. A. Horton, T. M. Lillo, and D. W. Brown: Scripta Mater., 2004, vol. 50, pp. 377.

    Article  Google Scholar 

  12. S. R. Agnew, D. W. Brown, and C. N. Tomé: Acta Materialia, 2006, vol. 54, pp. 4841.

    Article  Google Scholar 

  13. I. J. Beyerlein and C. N. Tomé: Int. J. Plast., 2008, vol. 24, pp. 867.

    Article  Google Scholar 

  14. L. Capolungo, I. J. Beyerlein, G. C. Kaschner, and C. N. Tomé: Materials Science and Engineering: A, 2009, vol. 513–514, pp. 42.

    Article  Google Scholar 

  15. L. Capolungo: Acta Materialia, 2011, vol. 59, pp. 2909.

    Article  Google Scholar 

  16. N. Bertin, C. N. Tomé, I. J. Beyerlein, M. R. Barnett, and L. Capolungo: Int. J. Plast., 2014, vol. 62, pp. 72.

    Article  Google Scholar 

  17. D. L. Yin, J. T. Wang, J. Q. Liu, and X. Zhao: J. Alloys Compounds, 2009, vol. 478, pp. 789.

    Article  Google Scholar 

  18. M. H. Yoo, S. R. Agnew, J. R. Morris, and K. M. Ho: Materials Science and Engineering: A, 2001, vol. 319–321, pp. 87.

    Article  Google Scholar 

  19. H. Wang, P. D. Wu, J. Wang, and C. N. Tomé: Int. J. Plast., 2013, vol. 49, pp. 36.

    Article  Google Scholar 

  20. Y. N. Wang and J. C. Huang: Mater. Chem. Phys., 2003, vol. 81, pp. 11.

    Article  Google Scholar 

  21. G. C. Kaschner, C. N. Tomé, R. J. McCabe, A. Misra, S. C. Vogel, and D. W. Brown: Materials Science and Engineering: A, 2007, vol. 463, pp. 122.

    Article  Google Scholar 

  22. F. P. E. Dunne, A. Walker, and D. Rugg: 2007, vol. 463, pp. 1467.

    Article  Google Scholar 

  23. T. Ungár, G. Ribárik, G. Zilahi, R. Mulay, U. Lienert, L. Balogh, and S. Agnew: Acta Materialia, 2014, vol. 71, pp. 264.

    Article  Google Scholar 

  24. S. Mendelson: J. Appl. Phys., 1970, vol. 41, pp. 1893.

    Article  Google Scholar 

  25. M. H. Yoo, J. R. Morris, K, S. R. Agnew, and K. M. Ho: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 813–822.

    Article  Google Scholar 

  26. C. Mareau and M. R. Daymond: Materials Science and Engineering: A, 2011, vol. 528, pp. 8676.

    Article  Google Scholar 

  27. Cheadle B. A. and Ells C. E.: Journal of Nuclear Materials Vol. 24, 1967, pp. 240-244.

    Article  Google Scholar 

  28. M. H. Yoo: Metall. Trans. A, 1981, vol. 12A, pp. 409-418.

    Article  Google Scholar 

  29. L. Xiao and H. Gu: Metall. Mater. Trans. A, 1997, vol. 28A, pp. 1021-1033.

    Article  Google Scholar 

  30. Roodposhti, P. S., Sarkar, A. and Murty, K. L.: Magnesium Tech., 2014, 59-64, 2014.

    Google Scholar 

  31. G. Monnet, B. Devincre, and L. P. Kubin: Acta Materialia, 2004, vol. 52, pp. 4317.

    Article  Google Scholar 

  32. L. Capolungo, I. J. Beyerlein, G. C. Kaschner, and C. N. Tomé: Materials Science and Engineering: A, 2009, vol. 513–514, pp. 42.

    Article  Google Scholar 

  33. P. Shanthraj and M. A. Zikry: Acta Materialia, 2011, vol. 59, pp. 7695.

    Article  Google Scholar 

  34. M. A. Zikry: Comput. Struct., 1994, vol. 50, pp. 337.

    Article  Google Scholar 

  35. R. J. Asaro and J. R. Rice: J. Mech. Phys. Solids, 1977, vol. 50, pp. 337.

    Google Scholar 

  36. P. Franciosi, M. Berveiller, and A. Zaoui: Acta Metallurgica, 1980, vol. 28, pp. 273.

    Article  Google Scholar 

  37. B. Devincre, T. Hoc, and L. Kubin: Science, 2008, vol. 320, pp. 1745.

    Article  Google Scholar 

  38. L. Kubin, B. Devincre, and T. Hoc: Materials Science and Engineering: A, 2008, vol. 19, pp. 483-484.

    Google Scholar 

  39. L. Kubin, B. Devincre, and T. Hoc: Acta Materialia, 2008, vol. 56, pp. 6040.

    Article  Google Scholar 

  40. M. A. Zikry and M. Kao: J. Mech. Phys. Solids, 1996, vol. 44, pp. 1765.

    Article  Google Scholar 

  41. P. Shanthraj and M. A. Zikry: Mech. Mater., 2013, vol. 58, pp. 110.

    Article  Google Scholar 

  42. P. Shanthraj and M. A. Zikry: J. Mech. Phys. Solids, 2013, vol. 61, pp. 1091.

    Article  Google Scholar 

  43. M. Niewczas: Acta Materialia, 2010, vol. 58, pp. 5848.

    Article  Google Scholar 

  44. T. Vegge, T. Rasmussen, T. Leffers, O. B. Pedersen, and K. W. Jacobsen: Phys Rev Lett, 2000, vol. 85(18), pp. 3866.

    Article  Google Scholar 

  45. U. F. Kocks and H. Mecking: Progress in Materials Science, 2003, vol. 48, pp. 171.

    Article  Google Scholar 

  46. D. C. Hofman and V. A. Lubarda: Journal of Applied Crystallography, 2003, vol. 36, pp. 23.

    Article  Google Scholar 

  47. Q. Wu, P. Shanthraj, and M. A. Zikry: Int. J. Fract., 2013, vol. 184, pp. 241.

    Article  Google Scholar 

  48. F. Xu, R. A. Holt, and M. R. Daymond: J. Nucl. Mater., 2009, vol. 394, pp. 9.

    Article  Google Scholar 

  49. F. Xu, R. A. Holt, and M. R. Daymond: J. Nucl. Mater., 2008, vol. 373, pp. 217.

    Article  Google Scholar 

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Acknowledgments

The support from the Consortium for Advanced Simulation of Light Water Reactors an Energy Innovation Hub for Modeling and Simulation of Nuclear Reactors under U.S. Department of Energy Contract No. DE-AC05-00OR227 and the partial support from ARO Grant W911NF-12-1-0329 are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, 27695-7910, USA

    S. Ziaei (Ph.D. Student) & M. A. Zikry (Professor)

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  1. S. Ziaei
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  2. M. A. Zikry
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Correspondence to M. A. Zikry.

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Manuscript Submitted April 15, 2014.

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Ziaei, S., Zikry, M.A. Modeling the Effects of Dislocation–Density Interaction, Generation, and Recovery on the Behavior of H.C.P. Materials. Metall Mater Trans A 46, 4478–4490 (2015). https://doi.org/10.1007/s11661-014-2635-0

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  • DOI: https://doi.org/10.1007/s11661-014-2635-0

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