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Plastic Deformation and Strain Localizations

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Deformation Processes in TRIP/TWIP Steels

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 295))

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  • The original version of this chapter was revised: The Journal title in the references “11th International Conference of Creep and Fracture of Engineering Materials and Structures, CREEP 2008” was incorrect and it was now replaced with “Mater. Sci. Eng. A”. The correction to this chapter is available at https://doi.org/10.1007/978-3-030-37149-4_10.

Abstract

This chapter gives an overview of basic knowledge on plastic deformation and strain localizations. The chapter starts with general remarks on plastic deformation continuing with details on deformation mechanisms such as dislocation glide and twinning were shortly summarized focusing for most common crystal lattices in metallic materials: (i) face-centred cubic lattice, (ii) body-centred cubic lattice and (iii) closed-packed hexagonal crystal lattice. In addition, the critical resolved shear stress is introduced and the mechanisms of strain hardening are described. Finally, different phenomena of strain localization are described distinguishing between strain localizations on microscopic scale (slip bands, deformation bands, persistent slip band and shear bands) and macroscopic strain localizations (Lüders effect, Portevin–Le Chatelier effect).

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References

  1. J.F. Shackelford, Introduction to Materials Science for Engineers (Pearson Education International, Pearson Education Ltd., Upper Saddle River, N.J., London, 2005)

    Google Scholar 

  2. W. Ramberg, W.R. Osgood, Technical Note No. 902. (National Advisory Committee for Aeronautics, 1943)

    Google Scholar 

  3. G. Gottstein, Materialwissenschaft und Werkstofftechnik (Springer Vieweg, Berlin, 2014)

    Google Scholar 

  4. N. Thompson, Proc. Phys. Soc. B 66, 481–492 (1953)

    Google Scholar 

  5. D. Kuhlmann-Wilsdorf, Acta Metall. 13, 257–270 (1965)

    CAS  Google Scholar 

  6. D. Hull, D.J. Bacon, Introduction to Dislocations (Butterworth-Heinemann, Amsterdam, 2011)

    Google Scholar 

  7. Y.T. Zhu, X.Z. Liao, X.L. Wu, Prog. Mater Sci. 57, 1–62 (2012)

    CAS  Google Scholar 

  8. J.W. Christian, S. Mahajan, Prog. Mater Sci. 39, 1–157 (1995)

    Google Scholar 

  9. E. Hornbogen, H. Warlimont, Metalle (Springer Vieweg, Berlin, Heidelberg, 2015)

    Google Scholar 

  10. B.C. De Cooman, Y. Estrin, S.K. Kim, Acta Mater. 142, 283–362 (2017)

    Google Scholar 

  11. J.A. Venables, Philos. Mag. 30, 1165–1169 (2006)

    Google Scholar 

  12. H. Idrissi, K. Renard, L. Ryelandt et al., Acta Mater. 58, 2464–2476 (2010)

    CAS  Google Scholar 

  13. J.P. Hirth, J. Lothe, Theory of Dislocations (Krieger Publishing Company, Malabar, Fla., 1992)

    Google Scholar 

  14. J.A. Venables, J. Phys. Chem. Solids 25, 693–700 (1964)

    CAS  Google Scholar 

  15. J.B. Cohen, J. Weertman, Acta Metall. 11, 996–998 (1963)

    CAS  Google Scholar 

  16. T. Mori, H. Fujita, Acta Metall. 28, 771–776 (1980)

    CAS  Google Scholar 

  17. S. Mahajan, G.Y. Chin, Acta Metall. 21, 173–179 (1973)

    CAS  Google Scholar 

  18. I. Karaman, H. Sehitoglu, K. Gall, Y.I. Chumlyakov, Acta Mater. 48, 1345–1359 (2000)

    CAS  Google Scholar 

  19. L. Bracke, K. Verbeken, L. Kestens et al., Acta Mater. 57, 1512–1524 (2009)

    CAS  Google Scholar 

  20. P. Yang, Q. Xie, L. Meng et al., Scripta Mater. 55, 629–631 (2006)

    CAS  Google Scholar 

  21. W. Groves, A. Kelly, Phil. Mag. 8, 877–887 (1963)

    CAS  Google Scholar 

  22. R. von Mises, Zeitschrift für Angewandte Mathematik und Mechanik 8, 161–85 (1928)

    Google Scholar 

  23. G. Taylor, J.W. Christian, Phil. Mag. 15, 893–929 (1967)

    CAS  Google Scholar 

  24. H. Mughrabi, Curr. Opin. Solid State Mater. Sci. 20, 411–420 (2016)

    Google Scholar 

  25. H. Mecking, U.F. Kocks, Acta Metall. 29, 1865–1875 (1991)

    Google Scholar 

  26. L.P. Kubin, Y. Estrin, Acta Mater. 38, 697–708 (1990)

    CAS  Google Scholar 

  27. U.F. Kocks, H. Mecking, Prog. Mater Sci. 48, 171–273 (2003)

    CAS  Google Scholar 

  28. T. Byun, N. Hashimoto, K. Farrell, Acta Mater. 52, 3889–3899 (2004)

    CAS  Google Scholar 

  29. D. Peirce, R.J. Asaro, A. Needleman, Acta Metall. 30, 1087–1119 (1982)

    Google Scholar 

  30. R. Wang, H. Mughrabi, S. McGovern, M. Rapp, Mater. Sci. Eng. 65, 219–233 (1984)

    CAS  Google Scholar 

  31. J.R. Rice, Theor. Appl. Mech. 1, 207–220 (1976)

    Google Scholar 

  32. Z. Wang, C. Laird, Mater. Sci. Eng. 100, 57–68 (1988)

    CAS  Google Scholar 

  33. L. Kunz, P. Lukáš, M. Svoboda, Mater. Sci. Eng., A 424, 97–104 (2006)

    Google Scholar 

  34. A. Vinogradov, S. Hashimoto, Mater. Trans. 42, 74–84 (2001)

    CAS  Google Scholar 

  35. A.S. Argon, Acta Metall. 27, 47–58 (1979)

    CAS  Google Scholar 

  36. I.S. Yasnikov, A. Vinogradov, Y. Estrin, Scripta Mater. 76, 37–40 (2014)

    CAS  Google Scholar 

  37. M. Zaiser, K. Bay, Phys. Stat. Sol. A 203, 29–42 (1997)

    CAS  Google Scholar 

  38. Y. Bréchet, F. Louchet, Solid State Phenom. 3–4, 347–356 (1988)

    Google Scholar 

  39. A. Luft, Prog. Mater. Sci. 35, 97–204 (1991)

    CAS  Google Scholar 

  40. R.J. Asaro, J.R. Rice, J. Mech. Phys. Solids 25, 309–338 (1977)

    Google Scholar 

  41. S. Lee, S.-J. Lee, S. Santhosh Kumar et al., Metall. Mater. Trans. A 42, 3638–3651 (2011)

    Google Scholar 

  42. L.P. Kubin, Y. Estrin, Revue de Physique Appliquée 23, 573–583 (1988)

    Google Scholar 

  43. A. Considère, Annales des Ponts et Chaussées 9, 574–575 (1885)

    Google Scholar 

  44. E.W. Hart, Acta Metall. 15, 351–355 (1967)

    CAS  Google Scholar 

  45. Y. Estrin, Solid State Phenom. 3–4, 417–428 (1988)

    Google Scholar 

  46. Y. Estrin, L.P. Kubin, Mater. Sci. Eng., A 137, 125–134 (1991)

    Google Scholar 

  47. S.D. Antolovich, R.W. Armstrong, Prog. Mater. Sci. 59, 1–160 (2014)

    Google Scholar 

  48. M. Blicharski, S. Dymek, M. Wrobel, J. Mater. Process. Technol. 53, 75–84 (1995)

    Google Scholar 

  49. F. Kroupa, V. Vítek, Can. J. Phys. 45, 945–971 (1967)

    CAS  Google Scholar 

  50. J.A. Ewing, J.C.W. Humfrey, Philos. Trans. Royal Soc. London Ser. A 200, 241–250 (1903)

    Google Scholar 

  51. N. Thompson, N. Wadsworth, N. Louat, Phil. Mag. 1, 113–126 (1956)

    CAS  Google Scholar 

  52. J. Man, K. Obrtlík, J. Polák, Philos. Mag. 89, 1295–1336 (2009)

    CAS  Google Scholar 

  53. P. Peralta, C. Laird, U. Ramamurty, S. Suresh, G.H. Campbell, W.E. King, T.E. Mitchell, Fatigue Crack Nucleation in Metallic Materials (1999)

    Google Scholar 

  54. H. Mughrabi, Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 373, 20140132 (2015)

    Google Scholar 

  55. J. Polák, V. Mazánová, M. Heczko et al., Eng. Fract. Mech. 185, 46–60 (2017)

    Google Scholar 

  56. J. Man, P. Klapetek, O. Man et al., Philos. Mag. 89, 1337–1372 (2009)

    CAS  Google Scholar 

  57. E.E. Laufer, W.N. Roberts, Philos. Mag. 10, 883–885 (1964)

    CAS  Google Scholar 

  58. E.E. Laufer, W.N. Roberts, Philos. Mag. 14, 65–78 (1966)

    CAS  Google Scholar 

  59. H. Mughrabi, Metall. Mater. Trans. A 40, 1257–1279 (2009)

    Google Scholar 

  60. H. Mughrabi, Proc. Eng. 2, 3–26 (2010)

    CAS  Google Scholar 

  61. C. Buque, Int. J. Fatigue 23, 459–466 (2001)

    CAS  Google Scholar 

  62. A. Schwab, J. Bretschneider, C. Buque et al., Philos. Mag. Lett. 74, 449–454 (1996)

    CAS  Google Scholar 

  63. A. Weidner, R. Beyer, C. Blochwitz, C. Holste, Mater. Sci. Eng., A 435–436, 540–546 (2006)

    Google Scholar 

  64. A. Korbel, J.D. Embury, M. Hatherly. L. Martin, Acta Metall. 34, 1999–2009 (1986)

    Google Scholar 

  65. J. Hirsch, K. Lücke, M. Hatherly, Acta Metall. 36, 2905–2927 (1988)

    CAS  Google Scholar 

  66. T.W. Wright, The Physics and Mathematics of Adiabatic Shear Bands (Cambridge University Press, Cambridge, UK, New York, , 2002)

    Google Scholar 

  67. A. van den Beukel, Phys. Stat. Sol. (a) 30, 197–206 (1975)

    Google Scholar 

  68. A.H. Cottrell, B.A. Bilby, Proc. Phys. Soc. 62, 49–62 (1948)

    Google Scholar 

  69. U.F. Kocks, A.S. Argon, M.F. Ashby, Prog. Mater. Sci. 19, 1–10 (1975)

    Google Scholar 

  70. R.A. Mulford, U.F. Kocks, Acta Metall. 27, 1125–1137 (1979)

    CAS  Google Scholar 

  71. A. van den Beukel, U.F. Kocks, Acta Metall. 30, 1027–1034 (1982)

    Google Scholar 

  72. A. Kolbe, Erzeugung und Charakterisierung von Stahl-Matrix-Verbundwerkstoffen, Diploma thesis, Freiberg (2007)

    Google Scholar 

  73. A. Eisenlohr, I. Gutierrez-Urrutia, D. Raabe, Acta Mater. 60, 3994–4004 (2012)

    CAS  Google Scholar 

  74. V. Schoß, Martensitische Umwandlung und Ermüdung austenitischer Edelstähle, Gefügever-änderungen und Möglichkeiten der Früherkennung von Ermüdungsschädigungen, Dissertation, Freiberg (2001)

    Google Scholar 

  75. D.C. Joy, E.M. Schulsona, J.P. Jakcbovics et al., Philos. Mag. 20, 843–847 (1969)

    CAS  Google Scholar 

  76. H. Suzuki, Sci. Rep. Inst. Tohoku Univ. 4, 455–463 (1952)

    Google Scholar 

  77. A. Coujou, P. Coulomb, Scr. Metall. 22, 1841–1846 (1988)

    CAS  Google Scholar 

  78. P. Haasen, Physikalische Metallkunde (Springer, Berlin, 1994)

    Google Scholar 

  79. G.T. Hahn, Acta Metall. 10, 722–738 (1962)

    Google Scholar 

  80. A. Marais, M. Mazière, S. Forest et al., Phil. Mag. 92, 3589–3617 (2012)

    CAS  Google Scholar 

  81. W. Lüders, Polytech. J. 155, 18–22 (1860)

    Google Scholar 

  82. W. Sylwestrowicz, E.O. Hall, Proc. Phys. Soc., London, Sect. B 64, 495 (1951)

    Google Scholar 

  83. J.W. Wyrzykowski, M.W. Grabski, Mater. Sci. Eng. 56, 197–200 (1982)

    CAS  Google Scholar 

  84. D.H. Johnson, M.R. Edwards, P. Chard-Tuckey, Mater. Sci. Eng. A 625, 36–45 (2015)

    Google Scholar 

  85. J.F. Butler, J. Mech. Phys. Solids 10, 313–334 (1962)

    Google Scholar 

  86. V.S. Ananthan, E.O. Hall, Acta Metall. Mater. 39, 3153–3160 (1991)

    CAS  Google Scholar 

  87. C.Y. Yu, P.W. Kao, C.P. Chang, Acta Mater. 53, 4019–4028 (2005)

    CAS  Google Scholar 

  88. Y.T. Zhang, T. Ao, W. Jiao et al., Comput. Mater. Sci. 41, 547–552 (2008)

    CAS  Google Scholar 

  89. D.W. Beardsmore, da Fonseca, J. Quinta, J. Romero et al., Mater. Sci. Eng. A 588, 151–66(2013)

    Google Scholar 

  90. H.B. Sun, F. Yoshida, M. Ohmori et al., Mater. Lett. 57, 4535–4539 (2003)

    CAS  Google Scholar 

  91. N. Tsuchida, Y. Tomota, K. Nagai et al., Scripta Mater. 54, 57–60 (2006)

    CAS  Google Scholar 

  92. M. Azrin, G.B. Olson, R.A. Gagne, Mater. Sci. Eng. A 23, 33–41 (1976)

    CAS  Google Scholar 

  93. S. Tamimi, A. Andrade-Campos, J. Pinho-da-Cruz, J. Mech. Behav. Mater. 24, 67–78 (2015)

    CAS  Google Scholar 

  94. J. Winlock, J. Metals 5, 797–803 (1953)

    CAS  Google Scholar 

  95. W.B. Morrison, ASM Trans. Q. 59, 824–46 (1966)

    Google Scholar 

  96. D. Fahr, Metall. Trans. 2, 1883–1892 (1971)

    CAS  Google Scholar 

  97. L. Fu, Z. Li, H. Wang et al., Scripta Mater. 67, 297–300 (2012)

    CAS  Google Scholar 

  98. K. Asoo, Y. Tomota, S. Harjo et al., ISIJ Int. 51, 145–150 (2011)

    CAS  Google Scholar 

  99. E.C. Oliver, P.J. Withers, M.R. Daymond et al., Appl. Phys. A Mater. Sci. Process. 74, S1143–S1145 (2002)

    CAS  Google Scholar 

  100. H. Conrad, Acta Metall. 11, 75–77 (1963)

    Google Scholar 

  101. E.O. Hall, Yield Point Phenomena in Metals and Alloys (Springer, Boston, MA, US, 1970)

    Google Scholar 

  102. S. Cheng, H. Choo, Y.H. Zhao et al., J. Mater. Res. 23, 1578–1586 (2008)

    CAS  Google Scholar 

  103. N. Tsuji, Y. Ito, Y. Saito et al., Scripta Mater. 47, 893–899 (2002)

    CAS  Google Scholar 

  104. Y. Tomota, A. Narui, N. Tsuchida, ISIJ Int. 48, 1107–1113 (2008)

    CAS  Google Scholar 

  105. R. Ueji, N. Tsuchida, D. Terada et al., Scripta Mater. 59, 963–966 (2008)

    CAS  Google Scholar 

  106. S. Gao, M. Chen, S. Chen et al., Mater. Trans. 55, 73–77 (2014)

    CAS  Google Scholar 

  107. J.F. Hallai, S. Kyriakides, Int. J. Plast. 47, 1–12 (2013)

    CAS  Google Scholar 

  108. S.-D. Kim, Mater. Sci. Appl. 02, 1–5 (2011)

    CAS  Google Scholar 

  109. A. Korbel, A. Pawelek, The dynamics of the group of dislocations and the instability of plastic flow, in Dislocation Modelling of Physical Systems, ed. by M.F. Hirth, R. Ashby, C.S. Bullough, J.P. Hartley (Pergamon, 1981), pp. 332–336

    Google Scholar 

  110. K. Chihab, Y. Estrin, L.P. Kubin, J. Vergnol, Scripta Mater. 21, 203–208 (1987)

    CAS  Google Scholar 

  111. A. Yilmaz, Sci. Technol. Adv. Mater. 12, 63001 (2011)

    Google Scholar 

  112. H. Dierke, M. Fischer, L. Casarotto et al., TM-Technisches Messen 78, 4 (2011)

    Google Scholar 

  113. F. Chmelík, F.B. Klose, H. Dierke et al., Mater. Sci. Eng. A 462, 53–60 (2007)

    Google Scholar 

  114. L. Casarotto, R. Tutsch, R. Ritter et al., Comput. Mater. Sci. 32, 316–322 (2005)

    CAS  Google Scholar 

  115. A. Ognjenovic, Experimentelle Untersuchung des inhomogenen Verformungsverhaltens bei Scher-und PLC-Bandbildung, Ph.D. Thesis (2005)

    Google Scholar 

  116. X. Feng, Untersuchungen zur Bildung und Ausbreitung von Verformungsbändern und ihre Simulation, Ph.D. Thesis, TU Dortmund (2008)

    Google Scholar 

  117. J. Zdunek, T. Brynk, J. Mizera et al., Mater. Charact. 59, 1429–1433 (2008)

    CAS  Google Scholar 

  118. H. Ait-Amokhtar, C. Fressengeas, Acta Mater. 58, 1342–1349 (2010)

    CAS  Google Scholar 

  119. H. Ait-Amokhtar, C. Fressengeas, S. Boudrahem, Mater. Sci. Eng. A 488, 540–546 (2008)

    Google Scholar 

  120. X. Feng, G. Fischer, R. Zielke et al., Mater. Sci. Eng., A 539, 205–210 (2012)

    CAS  Google Scholar 

  121. A. Saeed-Akbari, A.K. Mishra, J. Mayer et al., Metall. Mater. Trans. A 43, 1705–1723 (2012)

    CAS  Google Scholar 

  122. W. Räuchle, O. Vöhringer, E. Macherauch, Mater. Sci. Eng., A 12, 147–161 (1973)

    Google Scholar 

  123. M. Mayer, O. Vöhringer, E. Macherauch, Scr. Metall. 9, 1333–1339 (1975)

    CAS  Google Scholar 

  124. M. Abbadi, P. Hähner, A. Zeghloul, Mater. Sci. Eng., A 337, 1194–2001 (2002)

    Google Scholar 

  125. G. Horváth, N.Q. Chinh, J. Gubicza et al., Mater. Sci. Eng. A 445–446, 186–192 (2007)

    Google Scholar 

  126. H. Ait-Amokhtar, P. Vacher, S. Boudrahem, Acta Mater. 54, 4365–4371 (2006)

    CAS  Google Scholar 

  127. A. Chatterjee, A. Sarkar, P. Barat et al., Mater. Sci. Eng. A 508, 156–160 (2009)

    Google Scholar 

  128. A.K. Sachdev, Metall. Mater. Trans. A 13, 1793–1797 (1982)

    Google Scholar 

  129. C.-C. Li, W. Leslie, Metall. Mater. Trans. A 9, 1765–1775 (1978)

    Google Scholar 

  130. A. Karimi Taherim, T.M. Maccagno, J.J. Jonas, ISIJ Int. 35, 1532–1540 (1995)

    Google Scholar 

  131. J. Belotteau, C. Berdin, S. Forest et al., Mater. Sci. Eng. A 526, 156–165 (2009)

    Google Scholar 

  132. H. Wang, C. Berdin, M. Mazière et al., Scripta Mater. 64, 430–433 (2011)

    CAS  Google Scholar 

  133. B.K. Choudhary, Mater. Sci. Eng. A 564, 303–309 (2013)

    Google Scholar 

  134. L.H. de Almeida, I. Le May, Mater. Charact. 41, 137–150 (1998)

    Google Scholar 

  135. S. Hong, Int. J. Fatigue 26, 899–910 (2004)

    CAS  Google Scholar 

  136. K. Peng, K. Qian, W. Chen, Mater. Sci. Eng., A 379, 372–377 (2004)

    Google Scholar 

  137. V. Cerny, J. Cadek, Mater. Sci. Eng., A 66, 89–96 (1984)

    CAS  Google Scholar 

  138. L. Chen, H.-S. Kim, S.-K. Kim, B.C. De Cooman, ISIJ Int. 47, 1804–1812 (2007)

    Google Scholar 

  139. S.-J. Lee, J. Kim, S.N. Kane et al., Acta Mater. 59, 6809–6819 (2011)

    CAS  Google Scholar 

  140. S. Lee, J. Kim, S.-J. Lee et al., Scripta Mater. 65, 528–531 (2011)

    CAS  Google Scholar 

  141. A. Saed-Akbari, Mechanism Maps, Mechanical Properties, and Flow Behavior in High-Manganese TRIP/TWIP and TWIP Steels, Ph.D. Thesis (2011)

    Google Scholar 

  142. G. Scavino, C. Di Salvo, P. Matteis et al., Metall. Mater. Trans. A 44, 787–792 (2013)

    CAS  Google Scholar 

  143. P. Zhou, M.X. Huang, Metall. Mater. Trans. A 46, 5080–5090 (2015)

    CAS  Google Scholar 

  144. X. Li, J. Zhang, L. Rong et al., J. Alloy. Compd. 467, 383–389 (2009)

    CAS  Google Scholar 

  145. C.Y. Cui, Y.F. Gu, Y. Yuan et al., Scripta Mater. 64, 502–505 (2011)

    CAS  Google Scholar 

  146. L.P. Kubin, Y. Estrin, Acta Mater. 33, 397–407 (1985)

    Google Scholar 

  147. P. Hähner, Acta Mater. 45, 3695–3707 (1997)

    Google Scholar 

  148. P. Hähner, Mater. Sci. Eng., A 207, 216–223 (1996)

    Google Scholar 

  149. E. Macherauch, H.-W. Zoch, Praktikum in Werkstoffkunde (Vieweg+Teubner Verlag/Springer Fachmedien Wiesbaden GmbH Wiesbaden, Wiesbaden, 2011)

    Google Scholar 

  150. M.C. Chen, L.H. Chen, T.S. Lui, Acta Metall. Mater. 40, 2433–2438 (1992)

    CAS  Google Scholar 

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    Anja Weidner

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Weidner, A. (2020). Plastic Deformation and Strain Localizations. In: Deformation Processes in TRIP/TWIP Steels. Springer Series in Materials Science, vol 295. Springer, Cham. https://doi.org/10.1007/978-3-030-37149-4_2

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