Abstract
A dislocation-density-based multiple-slip crystalline plasticity framework, which accounts for variant morphologies and orientation relationships (ORs) that are uniquely inherent to lath martensitic microstructures, and a dislocation-density grain-boundary (GB) interaction scheme, which is based on dislocation-density transmission and blockage at variant boundaries, are developed and used to predict stress accumulation or relaxation at the variant interfaces. A microstructural failure criterion, which is based on resolving these stresses on martensitic cleavage planes, and specialized finite-element (FE) methodologies using overlapping elements to represent evolving fracture surfaces are used for a detailed analysis of fracture nucleation and intergranular and transgranular crack growth in martensitic steels. The effects of block and packet boundaries are investigated, and the results indicate that the orientation of the cleavage planes in relation to the slip planes and the lath morphology are the dominant factors that characterize specific failure modes. The block and packet sizes along the lath long direction are the key microstructural features that affect toughening mechanisms, such as crack arrest and deflection, and these mechanisms can be used to control the nucleation and propagation of different failure modes.
Keywords
- Slip System
- Cleavage Plane
- Martensitic Steel
- Nominal Strain
- Active Slip System
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
R.J. Asaro, J.R. Rice, Strain localization in ductile single-crystals. J. Mech. Phys. Solids 25, 309–338 (1977)
M. Ayada, M. Yuga, N. Tsuji, Y. Saito, A. Yoneguti, Effect of vanadium and niobium on restoration behavior after hot deformation in medium carbon spring steels. ISIJ Int. 38, 1022–1031 (1998)
A.A. Barani, F. Li, P. Romano, D. Ponge, D. Raabe, Design of high-strength steels by microalloying and thermomechanical treatment. Mater. Sci. Eng. A 463, 138–146 (2007)
M. de Koning, R. Miller, V.V. Bulatov, F. Abraham, Modelling grain-boundary resistance in intergranular slip transmission. Philos. Mag. A 82, 2511–2527 (2002)
B. Devincre, T. Hoc, L. Kubin, Dislocation mean free paths and strain hardening of crystals. Science 320, 1745–1748 (2008)
B. Dodd, Y. Bai, Width of adiabatic shear bands. Mater. Sci. Tech. 1, 38–40 (1985)
P. Franciosi, M. Berveiller, A. Zaoui, Latent hardening in copper and aluminum single-crystals. Acta Metall. 28, 273–283 (1980)
Z. Guo, C.S. Lee, J.W. Morris, On coherent transformations in steel. Acta Mater. 52, 5511–5518 (2004)
A. Hansbo, P. Hansbo, A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Comput. Methods Appl. Mech. Eng. 193, 3523–3540 (2004)
T. Hatem, M.A. Zikry, Shear pipe effects and dynamic shear–strain localization in martensitic steels. Acta Mater. 57, 4558–4567 (2009)
A.A. Howe, Ultrafine grained steels: industrial prospects. Mater. Sci. Tech. 16, 1264–1266 (2000)
G.M. Hughes, G.E. Smith, A.G. Crocker, P.E.J. Flewitt, An experimental and modelling study of brittle cleavage crack propagation in transformable ferritic steel. Mater. Sci. Tech. 27, 767–773 (2011)
T. Inoue, S. Matsuda, Y. Okamura, K. Aoki, Fracture of a low carbon tempered martensite. Trans. Jpn. Inst. Metals 11, 36–43 (1970)
S. Jin, J.W. Morris, V.F. Zackay, Grain refinement through thermal cycling in an Fe–Ni–Ti cryogenic alloy. Met Trans. 6A, 141–149 (1975)
H. Kawata, K. Sakamoto, T. Moritani, S. Morito, T. Furuhara, T. Maki, Crystallography of ausformed upper bainite structure in Fe–9Ni–C alloys. Mater. Sci. Eng. A 438, 140–144 (2006)
H.J. Kim, Y.H. Kim, J.W. Morris, Thermal mechanisms of grain and packet refinement in a lath martensitic steel. ISIJ Int. 38, 1277–1285 (1998)
Y. Kimura, T. Inoue, F. Yin, K. Tsuzaki, Inverse temperature dependence of toughness in an ultrafine grain-structure steel. Science 320, 1057–1060 (2008)
G. Krauss, Martensite in steel: strength and structure. Mater. Sci. Eng. A 273–275, 40–57 (1999)
L. Kubin, B. Devincre, T. Hoc, Towards a physical model for strain hardening in fcc crystals. Mater. Sci. Eng. A 483–484, 19–24 (2008a)
L. Kubin, B. Devincre, T. Hoc, Modeling dislocation storage rates and mean free paths in face-centered cubic crystals. Acta Mater. 56, 6040–6049 (2008b)
T.C. Lee, I.M. Robertson, H.K. Birnbaim, An in situ transmission electron-microscope deformation study of the slip transfer mechanisms in metals. Metall. Trans. A 21, 2437–2447 (1990)
A. Ma, F. Roter, D. Raabe, Studying the effect of grain boundaries in dislocation density based crystal-plasticity finite element simulations. Int. J. Solids Struct. 43, 7287–7303 (2006)
R. Madec, L.P. Kubin, Second order junctions and strain hardening in bcc and fcc crystals. Scripta Mater. 58, 767–770 (2008)
T. Maki, K. Tsuzaki, I. Tamura, The morphology of microstructure composed of lath martensites in steels. Trans. Iron Steel Inst. Jpn. 20, 207 (1980)
S. Matsuda, Y. Okamura, T. Inoue, H. Mimura, Toughness and effective grain-size in heat-treated low-alloy high-strength steels. Trans. Iron Steel Inst. Jpn. 12, 325–333 (1972)
K. Minaar, M. Zhou, An analysis of the dynamic shear failure resistance of structural metals. J. Mech. Phys. Solids 46, 2155–2170 (1998)
S. Morito, H. Tanaka, R. Konoshi, T. Furuhara, T. Maki, The morphology and crystallography of lath martensite in Fe–C alloys. Acta Mater. 51, 1789–1799 (2003)
S. Morito, X. Huang, T. Furuhara, T. Maki, N. Hansen, The morphology and crystallography of lath martensite in alloy steels. Acta Mater. 54, 5323–5331 (2006)
J.W. Morris, On the ductile–brittle transition in lath martensitic steel. ISIJ Int. 51, 1569–1575 (2011)
J.W. Morris, Z. Guo, C.R. Krenn, Y.H. Kim, The limits of strength and toughness in steel. ISIJ Int. 41, 599–611 (2011)
T. Ohmura, K. Tsuzaki, Plasticity initiation and subsequent deformation behavior in the vicinity of single grain boundary investigated through nanoindentation technique. J. Mater. Res. 42, 1728–1732 (2007)
T. Ohmura, A.M. Minor, E.A. Starch, J.W. Morris, Dislocation-grain boundary interactions in martensitic steel observed through in situ nanoindentation in a transmission electron microscope. J. Mater. Res. 12, 3626–3632 (2004)
S. Queyreau, G. Monnet, B. Devincre, Slip systems interactions in alpha-iron determined by dislocation dynamics simulations. Int. J. Plast. 25, 361–377 (2009)
P. Shanthraj, M.A. Zikry, Dislocation density evolution and interactions in crystalline materials. Acta Mater. 59, 7695–7702 (2011)
P. Shanthraj, M.A. Zikry, Dislocation-density mechanisms for void interactions in crystalline materials. Int. J. Plast. 34, 154–163 (2012a)
P. Shanthraj, M.A. Zikry, Optimal microstructures for martensitic steels. J. Mater. Res. 27, 1598–1611 (2012b)
A. Shibata, T. Nagoshi, M. Sone, S. Morito, Y. Higo, Evaluation of the block boundary and sub-block boundary strengths of ferrous lath martensite using a micro-bending test. Mater. Sci. Eng. A 29, 7538–7544 (2010)
R. Song, D. Ponge, D. Raabe, Mechanical properties of an ultrafine grained C–Mn steel processed by warm deformation and annealing. Acta Mater. 53, 4881–4892 (2005)
J.H. Song, M.A. Areias Pedro, T. Belytschko, A method for dynamic crack and shear band propagation with phantom nodes. Int. J. Numer. Methods Eng. 67, 868–893 (2006)
S. Takaki, K. Kawasaki, Y. Kimura, Mechanical properties of ultra fine grains steels. J. Mater. Process. Technol. 117, 359–363 (2001)
N. Tsuji, Y. Ito, Y. Saito, Y. Minamino, Strength and ductility of ultrafine grained aluminum and iron produced by ARB and annealing. Scripta Mater. 47, 893–899 (2002)
N. Tsuji, Y. Ito, Y. Saito, Y. Minamino, Toughness of ultrafine grained ferritic steels fabricated by ARB and annealing process. Mater. Trans. 45, 2272–2281 (2004)
N. Tsuji, N. Kamikawa, R. Ueji, N. Takata, H. Koyama, D. Terada, Managing both strength and ductility in ultrafine grained steels. ISIJ int. 48, 1114–1121 (2008)
M.A. Zikry, An accurate and stable algorithm for high strain-rate finite strain plasticity. Comput. Struct. 50, 337–350 (1994)
M.A. Zikry, M. Kao, Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J. Mech. Phys. Solids 44, 1765–1798 (1996)
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Support from both the US Office of Naval Research Multi-Disciplinary University Research Initiative on Sound and Electromagnetic Interacting Waves under grant number N00014-10-1-0958 and from the Office of Naval Research under grant number10848631 is gratefully acknowledged.
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Shanthraj, P., Zikry, M.A. (2013). Microstructural Behavior and Fracture in Crystalline Materials: Overview. In: Voyiadjis, G. (eds) Handbook of Damage Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8968-9_8-1
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DOI: https://doi.org/10.1007/978-1-4614-8968-9_8-1
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