Assessment of elastic anisotropy and incipient plasticity in Fe 3C by nanoindentation

Journal of Materials Research

Volumn 27, Issue 1, 2012, Pages 45-52

  Alkorta, Jon ^a   Sevillano, Javier Gil ^a  

^a UNIVERSITY OF NAVARRA   (Spain)

Author keywords

Elastic properties; Nanoindentation; Steel

Indexed keywords

AB INITIO; AB INITIO CALCULATIONS; CRYSTALLINE ORIENTATIONS; ELASTIC ANISOTROPY; ELASTIC PROPERTIES; INCIPIENT PLASTICITY; INDENTERS; IRON CARBIDES; LOAD-PENETRATION CURVES; MAXIMUM SHEAR STRESS; PLASTIC ANISOTROPY;

CALCULATIONS; CARBIDES; NANOINDENTATION; PLASTICITY; STEEL;

ANISOTROPY;

EID: 84855599100     PISSN: 08842914     EISSN: 20445326     Source Type: Journal    
DOI: 10.1557/jmr.2011.284     Document Type: Article

References (49)

1. W.C. Oliver andG.M. Pharr:An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
2. I.N. Sneddon: The relation between load and penetration in the axisimmetric boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
3. J. Alkorta, J.M. Martinez-Esnaola, and J.G. Sevillano: Absence of one-to-one correspondence between elastoplastic properties and sharpindentation load-penetration data. J. Mater. Res. 20, 432 (2005).
4. J. Alkorta, J.M. Martinez-Esnaola, and J.G. Sevillano: Comments on "Comment on the determination of mechanical properties from the energy dissipated during indentation" by J. Malzbender [J. Mater. Res. 20, 1090 (2005)]. J. Mater. Res. 21, 302 (2006).
5. J.J. Vlassak, M. Ciavarella, J.R. Barber, and X. Wang: The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape. J. Mech. Phys. Solids 51, 1701 (2003).
6. J.J. Vlassak and W.D. Nix: Indentation modulus of elastically anisotropic half-spaces. Philos. Mag. A 67, 1045 (1993).
7. J.J. Vlassak and W.D. Nix: Measuring the elastic properties of anisotropic materials by means of indentation experiments. J. Mech. Phys. Solids 42, 1223 (1994).
8. J.G. Swadener and G.M. Pharr: Indentation of elastically anisotropic half-spaces by cones and parabolae of revolution. Philos. Mag. A 81, 447 (2001).
9. 3C). Mater. Sci. Eng., A 527, 2657 (2010).
10. 3C from first principles. J. Appl. Phys. 103, 043502 (2008).
11. 3C: First-principles calculations and experimental evidence. Scr. Mater. 59, 814 (2008).
12. 3C. Comput. Mater. Sci. 44, 690 (2008).
13. K.O.E. Henriksson, N. Sandberg, and J. Wallenius: Carbides in stainless steels: Results from ab initio investigations. Appl. Phys. Lett. 93, 191912 (2008).
14. L. Vocadlo, J. Brodholt, D.P. Dobson, K.S. Knight, W.G. Marshall, G.D. Price, and I.G. Wood: The effect of ferromagnetism on the equation of state of Fe(3)C studied by first-principles calculations. Earth Planet. Sci. Lett. 203, 567 (2002).
15. 3Ccementite surfaces from first principles. Surf. Sci. 530, 87 (2003).
16. L. Huang, N.V. Skorodumova, A.B. Belonoshko, B. Johansson, and R. Ahuja: Carbon in iron phases under high pressure. Geophys. Res. Lett. 32, L21314 (2005).
17. 3C, v-Fe5C2, and g-Fe2C from first principle calculation. J. Appl. Phys. 99, 093508 (2006).
18. J.H. Jang, I.G. Kim, and H. Bhadeshia: Substitutional solution of silicon in cementite: A first-principles study. Comput. Mater. Sci. 44, 1319 (2009).
19. C.T. Zhou, B. Xiao, J. Feng, J.D. Xing, X.J. Xie, Y.H. Chen, and R. Zhou: First principles study on the elastic properties and electronic structures of (Fe, Cr)(3)C. Comput. Mater. Sci. 45, 986 (2009).
20. J. Nisar and R. Ahuja: Equation of state (EOS) and collapse of magnetism in iron-rich meteorites at high pressure by first-principles calculations. Phys. Earth Planet. Inter. 182, 175 (2010).
21. S. Ono and K. Mibe: Magnetic transition of iron carbide at high pressures. Phys. Earth Planet. Inter. 180, 1 (2010).
22. F. Foerster: New method for determination of modulus of elasticity and damping. Z. Metallk. 29(4), 109-115 (1937).
23. W.W. Webb and W.D. Forgeng: Mechanical behavior of microcrystals. Acta Mater. 6, 462 (1958).
24. F. Laszlo and H. Nolle: On some physical properties of cementite. J. Mech. Phys. Solids 7, 193 (1959).
25. W. Jellinghaus: Production and properties of solid cementite. Naturwissenschaften 51, 553 (1964).
26. T. Hanabusa, J. Fukura, and H. Fujiwara: X-ray stress measurements on the cementite phase in steels. Bull. JSME 12, 931 (1969).
27. L.A. Glikman, A.M. Kartashov, Z.M. Rubashkina, and A.F. Lobov: The modulus of normal elasticity of cementite. Problemy Prochnosti 4, 123 (1975).
28. B.M. Drapkin and B.V. Fokin: On Young modulus of cementite. Fizika Metall. 49, 649 (1980).
29. A. Kagawa, T. Okamoto, and H. Matsumoto: Young modulus and thermal-expansion of pure iron cementite alloy castings. Acta Mater. 35, 797 (1987).
30. R.A. Winholtz and J.B. Cohen: Load sharing of the phases in 1080-steel during low-cycle fatigue. Metall. Trans. A 23, 341 (1992).
31. B.J.Wood: Carbon in the core. Earth Planet. Sci. Lett. 117, 593 (1993).
32. 3C). Mater. Sci. Technol. 10, 190 (1994).
33. S.J. Li, M. Ishihara, H. Yumoto, T. Aizawa, and M. Shimotomai: Characterization of cementite films prepared by electron-showerassisted PVD method. Thin Solid Films 316, 100 (1998).
34. H. Mizubayashi, S.J. Li, H. Yumoto, and M. Shimotomai: Young's modulus of single phase cementite. Scr. Mater. 40, 773 (1999).
35. A. Jephcoat: Chemistry and physics of the Earth's core. J. Conf. Abstr. 5, 556 (2000).
36. 3C to 73 GPa: Implications for carbon in the Earth's core. Geophys. Res. Lett. 28, 1875 (2001).
37. M. Umemoto, Z.G. Liu, K. Masuyama, and K. Tsuchiya: Influence of alloy additions on production and properties of bulk cementite. Scr. Mater. 45, 391 (2001).
38. 3C to 30 GPa at room temperature. Phys. Chem. Miner. 29, 166 (2002).
39. M. Umemoto, Y. Todaka, T. Takahashi, P. Li, R. Tokumiya, and K. Tsuchiya: Characterization of bulk cementite produced by mechanical alloying and spark plasma sintering, in Metastable, Mechanically Alloyed and Nanocrystalline Materials, 2003, p. 607.
40. 3C). Phys. Status Solidi A 198, 272 (2003).
41. 3C from x-ray emission spectroscopy. Phys. Rev. B 70, 212 405 (2004).
42. 3C Invar particles. J. Appl. Phys. 96, 5668 (2004).
43. Y. Horimoto, L. Che, M. Gotoh, and Y. Hirose: Residual stress measurement of cementite phase in plastically deformed carbon steels. JCPDS-Int Centre Diff Data 207 (2006).
44. L. Che, M. Gotoh, Y. Horimoto, and Y. Hirose: Effect of microstructure of cementite on interphase stress state in carbon steel. J. Iron Steel Res. Int. 14, 31 (2007).
45. L.L. Gao, B. Chen, M. Lerche, E.E. Alp, W. Sturhahn, J.Y. Zhao, H. Yavas, and J. Li: Sound velocities of compressed Fe(3)C from simultaneous synchrotron x-ray diffraction and nuclear resonant scattering measurements. J. Synchrotron Radiat. 16, 714 (2009).
46. G. Fiquet, J. Badro, E. Gregoryanz, Y.W. Fei, and F. Occelli: Sound velocity in iron carbide (Fe(3)C) at high pressure: Implications for the carbon content of the Earth's inner core. Phys. Earth Planet. Inter. 172, 125 (2009).
47. Y.P. Cao, X.Q. Qian, and N. Huber: Spherical indentation into elastoplastic materials: Indentation-response based definitions of the representative strain. Mater. Sci. Eng.,A 454, 1 (2007).
48. B. Taljat and G.M. Pharr: Development of pile-up during spherical indentation of elastic-plastic solids. Int. J. Solids Struct. 41, 3891 (2004).
49. M.Y. Khan, L.M. Brown, and M.M. Chaudhri: The effect of crystal orientation on the indentation cracking and hardness of Mgo singlecrystals. J. Phys. D: Appl. Phys. 25, A257 (1992).