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Dislocation Mechanics of High-Rate Deformations

  • Symposium: Dynamic Behavior of Materials VI
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Abstract

Four topics associated with constitutive equation descriptions of rate-dependent metal plastic deformation behavior are reviewed in honor of previous research accomplished on the same issues by Professor Marc Meyers along with colleagues and students, as follow: (1) increasing strength levels attributed to thermally activated dislocation migration at higher loading rates; (2) inhomogeneous adiabatic shear banding; (3) controlling mechanisms of deformation in shock as compared with shock-less isentropic compression experiments and (4) Hall–Petch-based grain size-dependent strain rate sensitivities exhibited by nanopolycrystalline materials. Experimental results are reviewed on the topics for a wide range of metals.

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References

  1. R.W. Armstrong: in Dynamic Behavior of Materials VIAn SMD Symposium in Honor of Professor Marc MeyersHigh-Strain-Rate Deformation Behaviors, TMS2014, 143rd Annual Meeting and Exhibition, Final Program, San Diego, CA, 2014, p. 196.

  2. M.A. Meyers: in Mechanics and Materials: Fundamentals and Linkages, M.A. Meyers, R.W. Armstrong, and H.O.K. Kirchner, eds., John Wiley & Sons, Inc., N.Y., 1999, Chapter 14, pp. 489–594.

  3. M.A. Meyers, G. Subhash, B. Kad, and L. Prasad: in Shear Instabilities and Viscoplasticity Theories, R.W. Armstrong, R.C. Batra, M.A. Meyers and T.W. Wright, eds., Mech. Mater., 17, 319-327 (1994).

  4. M.A. Meyers, H. Jarmakani, E.M. Bringa, and B.A. Remington: in Dislocations in Solids, J.P. Hirth and L. Kubin, eds., Elsevier Sci. Publ. B.V., Oxford, U.K., 2009, vol. 15, pp. 91-197

  5. M.A. Meyers, A. Mishra and D.J. Benson: Prog. Mater. Sci., 2006, vol. 51, pp. 427-556.

    Article  Google Scholar 

  6. R.W. Armstrong: (Indian) J. Scient. Indust. Res., 1973, vol. 32, pp. 591-598.

    Google Scholar 

  7. R.W. Armstrong, C.S. Coffey and W.L. Elban: Acta Metall., 1982, vol. 30, pp. 2111-2118.

    Article  Google Scholar 

  8. Y.V.R. K. Prasad and R.W. Armstrong: Philos. Mag., 1974, vol. 29, pp. 1421-1425.

    Article  Google Scholar 

  9. E. Orowan: Proc. Phys. Soc. Lond., 1940, vol. 52, pp. 8-22.

    Article  Google Scholar 

  10. R.W. Armstrong and F.J. Zerilli: J. Phys. D. Appl. Phys., 2010, vol. 43, 492002 (5 pp.).

  11. F.J. Zerilli and R.W. Armstrong: Acta Metall., 1992, vol. 40, pp. 1803-1808.

    Article  Google Scholar 

  12. R.W. Armstrong and J.D. Campbell: in Microstructure and Design of Alloys, Third Intern. Conf. on Strength of Metals and Alloys, Inst. Met. and Iron and Steel Inst., Cambridge, UK, 1973, vol. 1, pp. 529–533, with discussion, vol. 2, pp. 511–513.

  13. R.W. Armstrong: in NanometalsStatus and Perspective, 33 rd Risoe Intern. Symp. on Mater. Sci., S. Faester, N. Hansen, X. Huang, D. Juul Jensen, B. Ralph, eds., Tech. Univ. Denmark, Roskilde Campus, DK, 2012, pp. 181–199.

  14. Q.Z. Li: J. Appl. Phys., 2011, vol. 109, 103514.

    Article  Google Scholar 

  15. F.J. Zerilli and R.W. Armstrong: J. Appl. Phys., 1987, vol. 61, pp. 1816-1825.

    Article  Google Scholar 

  16. F.J. Zerilli: Metall. Mater. Trans. A, 2004, vol. 35A, pp. 2547-2555.

    Article  Google Scholar 

  17. F.J. Zerilli and R.W. Armstrong: in Shock Compression of Condensed Matter—1997, S.C. Schmidt, D.P. Dandekar, J.W. Forbes, eds., Amer. Inst. Phys., New York, 1998, CP429, pp. 215–18.

  18. N.P. Gurao, R. Kapoor and S. Suwas: Metall. Mater. Trans. A, 2010, vol. 41, pp. 2794-2804.

    Article  Google Scholar 

  19. R.W. Armstrong and P.J. Worthington: in Metallurgical Effects at High Strain Rates, R.W. Rohde, B.M. Butcher, J.R. Holland and C.H. Karnes, eds., Plenum Press, New York, 1974, pp. 401–414.

  20. W.E. Carrington and M.L.V. Gaylor: Proc. Roy. Soc. Lond. A, 1948, vol. 194A, pp. 323-331.

    Article  Google Scholar 

  21. G.R. Johnson and W.H. Cook: in Proc. 7 th Intern. Symp. on Ballistics, The Hague, The Netherlands, American Defense Preparedness Association, Washington, D.C., 1983, pp. 541–47.

  22. R.W. Armstrong and S.M. Walley: Intern. Mater. Rev., 2008, vol. 53, pp. 105-128.

    Article  Google Scholar 

  23. Q.Z. Li: Mater. Sci. Eng. A, 2012, vol. 540, pp. 130-134.

    Article  Google Scholar 

  24. Q.Z. Li: Mater. Sci. Eng. A, 2013, vol. 568, pp. 96-101.

    Article  Google Scholar 

  25. D.K. Sun and C.P. Chang: Mater. Sci. Eng. A, 2014, vol. 603, pp. 30-36.

    Article  Google Scholar 

  26. M.S. Tsai and C.P. Chang: Mater. Sci. Tech., 2013, vol. 29, pp. 759-763.

    Article  Google Scholar 

  27. S. Kurukuri, M.J. Worswick, D. Ghaffari Tari, R.K. Mishra and J.T. Carter: Philos. Trans. R. Soc. A, 2014, vol. 372, 20130216.

    Article  Google Scholar 

  28. S. Kurukuri, M.J. Worswick, A. Bardelcik, R.K. Mishra, and J.T. Carter: Metall. Mater. Trans. A, 2014, DOI:10.1007/s11661-014-2300-7.

  29. F.J. Zerilli and R.W. Armstrong: in Shock Compression of Condensed Matter (SCCM), S.C. Schmidt and N.C. Holmes, eds., Elsevier Sci. Publ. B.V., New York, 1988, pp. 273–277.

  30. J.B. McKirgan: M.Sc. Thesis, University of Maryland, College Park, MD, 1990.

  31. K.G. Hoge and A.K. Mukherjee: J. Mater. Sci., 1977, vol. 12, pp. 1666-1672.

    Article  Google Scholar 

  32. F.J. Zerilli and R.W. Armstrong: J. Appl. Phys., 1990, vol. 68, pp. 1580-1591.

    Article  Google Scholar 

  33. N.R. Barton, J.V. Bernier, R. Becker, A. Arsenlis, R. Cavallo, J. Marian, M. Rhee, H.-S. Park, B. Remington and R.T. Olson: J. Appl. Phys., 2011, vol. 109, 073501.

    Article  Google Scholar 

  34. F.J. Zerilli and R.W. Armstrong: in Shock Compression of Condensed Matter—1995, S.C. Schmidt and W.C. Tao, eds., American Institute of Physics, Woodbury, NY, 1996, CP 370, Part 1, pp. 315–18.

  35. D.R. Chichili, K.T. Ramesh and K.J. Hemker: Acta Mater., 1998, vol. 46, pp. 1025ff.

  36. A.J. Comely, B.R. Maddox, R.E. Rudd, S.T. Prisbrey, J.A. Hawreliak, D.A. Orlikowski, S.C. Peterson, J.H. Satcher, A.J. Elsholz, H.-S. Park, B.A. Remington, N. Bazin, J.M. Foster, P. Graham, N. Park, P.A. Rosen, S.R. Rothman, A. Higginbotham, M. Suggit and J.S. Wark: Phys. Rev. Letts., 2014, vol. 110, 115501.

    Article  Google Scholar 

  37. R.A. Austin and D.L. McDowell: Int. J. Plast., 2012, vol. 32-33, pp. 134-154.

    Article  Google Scholar 

  38. J.T. Lloyd, J.D. Clayton, R.A. Austin and D.L. McDowell: J. Mech. Phys. Sol., 2014, vol. 69, pp. 14-32.

    Article  Google Scholar 

  39. K. EswarPrasad, B. Li, N. Dixit, M. Shaffer, S.N. Mathaudhu and K.T. Ramesh: JOM, 2014, vol. 66, 291–304

    Article  Google Scholar 

  40. M. Kattoura and M.A. Shehadeh: Philos. Mag. Letts., 2014, vol. 94, pp. 415-423.

    Article  Google Scholar 

  41. S.D. Antolovich and R.W. Armstrong: Prog. Mater. Sci., 2014, vol. 59, pp. 1-160

    Article  Google Scholar 

  42. H. Tresca: Proc. Inst. Mech. Eng., 1878, vol. 30, pp. 301-345.

    Article  Google Scholar 

  43. C. Zener and J.H. Hollomon: J. Appl. Phys., 1944, vol. 15, pp. 22-32.

    Article  Google Scholar 

  44. D.L. Zou, L. Zhen, C.Y. Xu and W.Z. Shao: Mater. Charact., 2011, vol. 62, pp. 496–502.

    Article  Google Scholar 

  45. L.E. Murr: Mater. Sci. Tech., 2012, vol. 28, pp. 1108-1126.

    Article  Google Scholar 

  46. R.W. Armstrong and W.L. Elban: Mater. Sci. Eng. A, 1989, vol. 122, L1-L3.

    Article  Google Scholar 

  47. W. H. Holt, W. Mock, Jr., W.G. Soper, C.S. Coffey, V. Ramachandran and R.W. Armstrong: J. Appl. Phys., 1993, vol. 73, pp. 3753-3759.

    Article  Google Scholar 

  48. R.W. Armstrong, R.C. Batra, M.A. Meyers, and T.W. Wright, eds.: Shear Instabilities and Viscoplasticity Theories, in Mech. Mater., 1994, vol. 17, pp. 83–327.

  49. P.S. Follansbee, G. Regazzoni, and U.F. Kocks: in Mechanical Properties of Materials at High Rates of Strain, J. Harding, ed., Conf. Series No. 70, Institute of Physics, London, 1984, pp. 71–80.

  50. R.W. Armstrong: Phil. Trans. R. Soc. A, 2014, vol. 372, 20130181.

    Article  Google Scholar 

  51. J.L. Jordan, C.R. Siviour, G. Sunny, C. Bramlette and J.E. Spowart, J. Mater. Sci., 2013, vol. 48, 7134-7141

    Article  Google Scholar 

  52. R.W. Armstrong, V. Ramachandran and F.J. Zerilli: in Advances in Materials and Their Applications, P. Rama Rao, ed., Wiley Eastern, Ltd., New Delhi, 1994, pp. 201–229

    Google Scholar 

  53. J.W. Swegle and D.E. Grady: J. Appl. Phys., 1985, vol. 58, pp. 692-701.

    Article  Google Scholar 

  54. R.W. Armstrong, W. Arnold and F.J. Zerilli: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 2605-2610.

    Article  Google Scholar 

  55. W. Arnold: Dynamisches Werkstoffverhalten von Armco-Eisen bei Stosswellenbelastung, Fortschritt-Berichte VDI, Duesseldorf, DE, 1992, vol. 5, no. 247, 242 pp.

  56. R.W. Armstrong, W. Arnold and F.J. Zerilli: J. Appl. Phys., 2009, vol. 109, 023511.

    Article  Google Scholar 

  57. D. Rittel, M.L. Silva, B. Poon and G. Ravichandran: Mech. Mater., 2009, vol. 41, pp. 1323- 1329.

    Article  Google Scholar 

  58. M.A. Meyers: in Mechanics and Materials; Fundamentals and Linkages, M.A. Meyers, R.W. Armstrong and H.O.K. Kirchner, eds., Wiley, New York, 1999, Chap. 14, Fig. 14.32 (b), p. 539.

  59. R.W. Armstrong: in International Plasticity Meeting on Multi-scale Modeling and Plasticity Characterization of Advanced Materials, A.S. Khan and H.-Y. Yu, eds., NEAT, Fulton, MD, 2014, USB, pp. 133–35.

  60. R.P. Carreker, Jr., and W.R. Hibbard, Jr.: Trans. TMS-AIME, 1957, vol. 209, pp. 1157-1163.

    Google Scholar 

  61. W. Moćko, J.A. Rodríguez‐Martínez, Z.L. Kowalewski and A. Rusinek: Strain, 2012, vol. 48, pp. 498–509.

    Article  Google Scholar 

  62. J.C. Crowhurst, M.R. Armstrong, K.B. Knight, J.M. Zaug and E.M. Behymer: Phys. Rev. Letts., 2011, vol. 107, 144302.

    Article  Google Scholar 

  63. D.E. Grady: J. Appl. Phys., 2010, vol. 107, 013506.

    Article  Google Scholar 

  64. G.A. Malygin, S.L. Ogarkov and A.V. Andriyash: (RU) Phys. Sol. State, 2013, vol. 55, pp. 780-786.

    Article  Google Scholar 

  65. H. Jarmakani, J.M. McNaney, M.S. Schneider, D. Orlikowski, J.H. Nguyen, B. Kad, and M.A. Meyers: in Shock Compression of Condensed Matter2005, M.D. Furnish, M. Elert, T.P. Russell and C.T. White, eds., Amer. Inst. Phys., Melville, NY, 2006, CP845, Part 2, pp. 1319–22.

  66. R.F. Smith, J.H. Eggert, R.E. Rudd, D.C. Swift, C.A. Bolme and G.W. Collins: J. Appl. Phys., 2011, vol. 110, 123515

    Article  Google Scholar 

  67. R.W. Armstrong, I. Codd, R.M. Douthwaite and N.J. Petch: Philos. Mag., 1962, vol. 7, pp. 45-58.

    Article  Google Scholar 

  68. R.W. Armstrong: Mater. Trans., 2014, vol. 55, pp. 2-12.

    Article  Google Scholar 

  69. R.W. Armstrong: Eng. Fract. Mech., 2010, vol. 77, pp. 1348-1359.

    Article  Google Scholar 

  70. R.W. Armstrong: Acta Mech., 2014, vol. 225, pp. 1013-1028.

    Article  Google Scholar 

  71. K. Takeda, N. Nakada, T. Tsuchiyama and S. Takaki: Iron Steel Inst. J. Int., 2008, vol. 48, pp. 1122-1125.

    Article  Google Scholar 

  72. T.J. Massart and T. Pardoen: Acta Mater., 2010, vol. 58, pp. 5768-5781.

    Article  Google Scholar 

  73. D. Wu, J. Zhang, J.C. Huang, H. Bei and T.G. Nieh: Scripta Mater., 2013, vol. 68, pp. 118-121.

    Article  Google Scholar 

  74. D.R. Lesuer, C.K. Syn and O.D. Sherby: J. Mater. Sci., 2010, vol. 45, pp. 4889-4894.

    Article  Google Scholar 

  75. S. Yip and M.P. Short: Nature Mater., 2013, vol. 12, pp. 774-777.

    Article  Google Scholar 

  76. R.W. Armstrong, Y.T. Chou, R.M. Fisher and N. Louat: Philos Mag., 1966, vol. 14, pp. 943-951.

    Article  Google Scholar 

  77. J.C.M. Li and G.C.T. Liu: Philos. Mag., 1967, vol. 15, pp. 1059-1063.

    Article  Google Scholar 

  78. R.W. Armstrong: Mater. Sci. Eng. A, 2005, vol. 409, pp. 24-31.

    Article  Google Scholar 

  79. W.T. Lee, S.X. Ding, D.K. Sun, C.I. Hsiao, C.P. Chang, L. Chang and P.W. Kao: Metall. Mater. Trans. A, 2011, vol. 42A, pp. 2909-2916.

    Article  Google Scholar 

  80. R.W. Armstrong and S.D. Antolovich: in 18 th European Conference on Fracture, Dresden, DE, 2010, CD-ROM.

  81. A. Hohenwarter and R. Pippan: Mater. Sci. Eng. A, 2010, vol. 527, pp. 2649-2656.

    Article  Google Scholar 

  82. T.B. Britton and A.J. Wilkinson: Acta Mater., 2012, vol. 60, pp. 5773-5782

    Article  Google Scholar 

  83. R.W. Armstrong and T.R. Smith: in Processing and Properties of Nanocrystalline Materials, C. Suryanarayana, J. Singh and F.H. Froes, eds., TMS-AIME, Warrendale, PA, 1996, pp. 345–54.

  84. L. Lu, X. Chen, X. Huang and K. Lu: Science, 2009, vol. 323, pp. 607-610.

    Article  Google Scholar 

  85. N. Hansen and B. Ralph: Acta Metall., 1982, vol. 30, pp. 411-417.

    Article  Google Scholar 

  86. W.W. Jian, G.M. Cheng, W.Z. Xu, H. Yuan, M.H. Tsai, Q.D. Wang, C.C. Koch, Y.T. Zhu and S.N. Mathaudhu: Mater. Res. Letts., 2013, vol. 1, pp. 61-66.

    Article  Google Scholar 

  87. J.D. Embury and R.M. Fisher: Acta Metall., 1966, vol. 14, pp. 147-159.

    Article  Google Scholar 

  88. J.S.C. Jang and C.C. Koch: Scripta Metall., 1990, vol. 24, pp. 1599-1604.

    Article  Google Scholar 

  89. D. Jang, M. Atzmon (2003) J. Appl. Phys. 93:9282-9286

    Article  Google Scholar 

  90. G. Purcek, O. Saray, I. Karaman and H.J. Maier: Metall. Mater. Trans. A, 2012, vol. 43A, pp. 1884-1894.

    Article  Google Scholar 

  91. X.D. Zhang, A. Godfrey, X. Huang, N. Hansen and Q. Liu: Acta Mater., 2011, vol. 59, pp. 3422-3430.

    Article  Google Scholar 

  92. R.W. Armstrong: Emerg. Mater. Res., 2011, vol. 1, pp. 31-37.

    Google Scholar 

  93. N. Hansen: Scripta Mater., 2004, vol. 51, 801-808.

    Article  Google Scholar 

  94. Y. Okitsu, N. Takata and N. Tsuji: Scripta Mater., 2011, vol. 64, pp. 896–899.

    Article  Google Scholar 

  95. R.W. Armstrong: Acta Metall., 1968, vol. 16, pp. 347-355.

    Article  Google Scholar 

  96. N.R. Risebrough and E. Teghtsoonian: Can. J. Phys., 1967, vol. 45, pp. 591ff.

    Article  Google Scholar 

  97. Y.V.R.K. Prasad, N.M. Madhava and R.W. Armstrong: in Grain Boundaries in Engineering Materials, Claitor’s Press, Baton Rouge, LA, 1975, pp 67–75, including discussion

    Google Scholar 

  98. P. Rodriguez, R.W. Armstrong and S.L. Mannan: Trans. Ind. Inst. Met., 2003, vol. 56, pp. 189-196.

    Google Scholar 

  99. J.A. del Valle and O.A. Ruano: Scripta Mater., 2006, vol. 55, pp. 775-778.

    Article  Google Scholar 

  100. Q. Yang and A.K. Ghosh: Acta Mater., 2006, vol. 54, pp. 5159-5170.

    Article  Google Scholar 

  101. R.W. Armstrong and P. Rodriguez: Philos. Mag., 2006, vol. 86, pp. 5787-5796.

    Article  Google Scholar 

  102. H. Conrad, R.W. Armstrong, H. Wiedersich and G. Schoeck: Philos. Mag., 1961, vol. 6, pp. 177-188.

    Article  Google Scholar 

  103. P.W. Flynn, J. Mote and J.E. Dorn: Trans. TMS-AIME, 1961, vol. 221, pp. 177ff.

    Google Scholar 

  104. Y.B. Chun and C.H.J. Davies: Metall. Mater. Trans. A, 2011, vol. 42A, pp. 4113-4125.

    Article  Google Scholar 

  105. M. Gzyl, A. Rosochowski, R. Pesci, L. Olejnik, E. Yakushina and P. Wood: Metall. Mater. Trans., 2014, vol. 45A, pp. 1609-1620.

    Article  Google Scholar 

  106. R.J. Asaro and S. Suresh: Acta Mater., 2005, vol. 53, pp. 3369-3382.

    Article  Google Scholar 

  107. R.W. Armstrong: in Mechanical Properties of Nanocrystalline Materials, J.C.M. Li, ed., Pan Stanford Publ. Pte., Ltd., Singapore, 2012, Chap. 3, pp. 61–91

    Google Scholar 

  108. L. Lu, M. Dao, T. Zhu and J. Li: Proc. Natl. Acad. Sci. USA, 2009, vol. 104, pp. 1062-1066.

    Google Scholar 

  109. G. Weng: in Mechanical Properties of Nanocrystalline Materials (Chap. 4), J.C.M. Li, ed., Pan Stanford Publ. Pte., Ltd., Singapore, 2012, pp. 93-131

    Google Scholar 

  110. R. Schwaiger, B. Moser, M. Dao, N. Chollacoop and S. Suresh: Acta Mater., 2003, vol. 51, pp. 5159-5172.

    Article  Google Scholar 

  111. Y.M. Wang and E. Ma: Mater. Sci. Eng. A, 2004, vol. 375-377, pp. 46-52.

    Article  Google Scholar 

  112. X. Li, Y. Wei, L. Lu, K. Lu and H. Gao: Nature, 2010, vol. 464, pp. 877-880.

    Article  Google Scholar 

  113. C.S. Pande and K.P. Cooper: Prog. Mater. Sci., 2009, vol. 54, pp. 689-706.

    Article  Google Scholar 

  114. R.W. Armstrong: Can. Metall. Quart., 1974, vol. 13, pp. 187-202.

    Article  Google Scholar 

  115. T.G. Langdon: J. Mater. Sci., 2006, vol. 41, pp. 597ff

    Article  Google Scholar 

  116. P. Rodriguez and R.W. Armstrong: (Indian) Bull. Mater. Sci., 2006, vol. 29, pp. 717-720.

    Google Scholar 

  117. H. Conrad and J. Narayan: Acta Mater., 2002, vol. 50, pp. 5067-5078.

    Article  Google Scholar 

  118. H.Y. Song and Y. Lu: J. Appl. Phys., 2012, vol. 111, 044322.

    Article  Google Scholar 

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Acknowledgments

The authors express their appreciation for numerous positive interactions with Professor Meyers, particularly by RWA for research connections growing out of the University of California, San Diego, Institute for Mechanics and Materials, and by QZL for previous visiting research periods spent at UCSD. QZL appreciates receiving support from the Office of Basic Engineering Sciences at the US Department of Energy.

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Armstrong, R.W., Li, Q. Dislocation Mechanics of High-Rate Deformations. Metall Mater Trans A 46, 4438–4453 (2015). https://doi.org/10.1007/s11661-015-2779-6

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