Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-08T00:30:16.243Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of special rotational deformation on dislocation emission from a semielliptical blunt crack tip in nanocrystalline solids

Published online by Cambridge University Press:  21 January 2013

Min Yu ,
Qihong Fang ,
Hui Feng  and
Youwen Liu
Min Yu
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 4100082, Hunan, People’s Republic of China; and College of Civil Engineering and Mechanics, Central South University of Forestry and Technology, Changsha 410004, Hunan, People’s Republic of China
Qihong Fang*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, Hunan, People’s Republic of China
Hui Feng
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, Hunan, People’s Republic of China
Youwen Liu
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, Hunan, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

The paper established a model to investigate the interaction between the special rotational deformation and a semielliptical blunt crack in deformed nanocrystalline materials. By using the complex variable method, the effect of a disclination quadrupole produced by the special rotational deformation on the emission of lattice dislocation from a semielliptical blunt crack tip was explored theoretically. The complex form expression of the dislocation force was derived, and the critical stress intensity factors (SIFs) for the first edge dislocation emission were calculated. Then, the influence of the disclination strength, the disclination location and orientation, the special rotational deformation orientation, the grain size, and the curvature radius of blunt crack tip on the critical SIFs were discussed in detail, and a comparison with the sharp crack behavior was presented. The results show that the special rotational deformation and the curvature radius of blunt crack have great effects on the lattice dislocation emission form blunt crack tip. Some influence laws are also different with those of the edge dislocation emission from a sharp crack tip.

Type
Articles
Information
Journal of Materials Research , Volume 28 , Issue 6 , 28 March 2013 , pp. 798 - 805
Copyright
Copyright © Materials Research Society 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Liu, Y.G., Zhou, J.Q., Shen, T.D., and Hui, D.: Effects of ultrafine nanograins on the fracture toughness of nanocrystalline materials. J. Mater. Res. 26(14), 694 (2011).CrossRefGoogle Scholar
Rupert, T.J., Trelewicz, J.R., and Schuh, C.A.: Grain boundary relaxation strengthening of nanocrystalline Ni–W alloys. J. Mater. Res. 27(9), 1285 (2012).CrossRefGoogle Scholar
Liu, Y.G., Zhou, J.Q., and Shen, T.D.: A combined dislocation–cohesive zone model for fracture in nanocrystalline materials. J. Mater. Res. 27(4), 1734 (2012).CrossRefGoogle Scholar
Zhao, Y.H., Liao, X.Z., Zhual, Y.T., and Valiev, R.Z.: Enhanced mechanical properties in ultrafine grained 7075 Al alloy. J. Mater. Res. 20(4), 288 (2005).CrossRefGoogle Scholar
Aifantis, E.C.: Deformation and failure of bulk nanograined and UFG materials. Mater. Sci. Eng., A 530(1), 190 (2009).CrossRefGoogle Scholar
Bobylev, S.V., Mukherjee, A.K., and Ovid’ko, I.A.: Emission of partial dislocations from amorphous intergranular boundaries in deformed nanocrystalline ceramics. Scr. Mater. 60(1), 36 (2009).CrossRefGoogle Scholar
Capolungo, L., Cherkaoui, M., and Qu, J.: On the elastic-viscoplastic behavior of nanocrystalline materials. Int. J. Plast. 23(4), 561 (2007).CrossRefGoogle Scholar
Figueiredo, R.B., Kawasaki, M., and Langdon, T.C.: The mechanical properties of ultrafine-grained metals at elevated temperatures. Rev. Adv. Mater. Sci. 19(1/2), 1 (2009).Google Scholar
Farrok, B. and Khan, A.S.: Grain size, strain rate, and temperature dependence of flow stress in ultra-fine grained and nanocrystalline Cu and Al: Synthesis, experiment, and constitutive modeling. Int. J. Plast. 25(5), 715 (2009).CrossRefGoogle Scholar
Koch, C.C.: Structural nanocrystalline materials: An overview. J. Mater. Sci. 42(5), 1403 (2007).CrossRefGoogle Scholar
Khan, A.S., Farrok, B., and Takacs, L.: Effect of grain refinement on mechanical properties of ball-milled bulk aluminum. Mater. Sci. Eng., A 489(1–2), 77 (2008).CrossRefGoogle Scholar
Ovid’ko, I.A.: Review on fracture processes in nanocrystalline materials. J. Mater. Sci. 42(5), 1694 (2007).CrossRefGoogle Scholar
Dao, M., Lu, L., Asaro, R.J., De Hosson, J.T.M., and Ma, E.: Toward a quantitative understanding of mechanical behavior of nanocrystalline metals. Acta Mater. 55(12), 4041 (2005).CrossRefGoogle Scholar
Khan, A.S., Farrok, B., and Yakacs, L.: Compressive properties of Cu with different grain sizes: Sub-micron to nanometer realm. J. Mater. Sci. 43(9), 3305 (2008).CrossRefGoogle Scholar
Koch, C.C., Ovid’ko, I.A., Seal, S., and Veprek, S.: Structural Nanocrystalline Materials: Fundamentals and Applications (Cambridge University Press, Cambridge, UK, 2007).CrossRefGoogle Scholar
Bobylev, S.V., Mukherjee, A.K., Ovid’ko, I.A., and Sheinerman, A.G.: Effects of intergrain sliding on crack growth in nanocrystalline materials. Int. J. Plast. 26, 1629 (2010).CrossRefGoogle Scholar
Gutkin, M.Y. and Ovid’ko, I.A.: Grain boundary migration and rotational deformation mode in nanocrystalline materials. Appl. Phys. Lett. 87, 251916 (2005).CrossRefGoogle Scholar
Morozov, N.F., Ovid’ko, I.A., Sheinerman, A.G., and Aifantis, E.C.: Special rotational deformation as a toughening mechanism in nanocrystalline solids. J. Mech. Phys. Solids. 58, 1088 (2010).CrossRefGoogle Scholar
Ovid’ko, I.A. and Sheinerman, A.G.: Grain size effect on crack blunting in nanocrystalline materials. Scr. Mater. 60, 627 (2009).CrossRefGoogle Scholar
Ovid’ko, I.A., Skiba, N.V., and Mukherjee, A.K.: Nucleation of nanograins near cracks in nanocrystalline materials. Scr. Mater. 62, 387 (2010).CrossRefGoogle Scholar
Demkowicz, M.J., Argon, A.S., Farkas, D., and Frary, M.: Simulation of plasticity in nanocrystalline silicon. Philos. Mag. 87, 4253 (2007).CrossRefGoogle Scholar
Yang, F. and Yang, W.: Crack growth versus blunting in nanocrystalline materials with extremely small grain size. J. Mech. Phys. Solids 57, 305 (2009).CrossRefGoogle Scholar
Ovid’ko, I.A. and Sheinerman, A.G.: Special rotational deformation in nanocrystalline metals and ceramics. Scr. Mater. 59, 119 (2008).CrossRefGoogle Scholar
Fang, Q.H., Liu, Y.W., Jiang, C.P., and Li, B.: Interaction of a wedge disclination dipole with interfacial cracks. Eng. Fract. Mech. 73, 1235 (2006).CrossRefGoogle Scholar
Wu, M.S., Zhou, K., and Nazarov, A.A.: Stability and relaxation mechanisms of a wedge disclination in an HCP bicrystalline nanowire. Modell. Simul. Mater. Sci. Eng. 14, 647 (2006).CrossRefGoogle Scholar
Fang, Q.H., Feng, H., Liu, Y.W., Lin, S., and Zhang, N.: Special rotational deformation effect on the emission of dislocations from a crack tip in deformed nanocrystalline solids. Int. J. Solids Struct. 11–12, 1406 (2012).CrossRefGoogle Scholar
Huang, M.X. and Li, Z.H.: Dislocation emission criterion from a blunt crack tip. J. Mech. Phys. Solids 52, 1991 (2004).CrossRefGoogle Scholar
Fischer, L.L. and Beltz, G.E.: The effect of crack blunting on the competition between dislocation nucleation and cleavage. J. Mech. Phys. Solids 49, 635–654 (2001).CrossRefGoogle Scholar
Li, T.L., Lia, Z.H., and Sun, J.: The shielding effects of a screw dislocation near an elliptically blunted crack tip. Scr. Mater. 55, 703 (2006).CrossRefGoogle Scholar
Huang, M.X., Rivera Díaz del Castillo, E.J.P., and Li, Z.H.: Edge dislocation dipole emission from a blunt crack tip and its morphological effects. Scr. Mater. 54, 649 (2006).CrossRefGoogle Scholar
Ovid’ko, I.A. and Sheinerman, A.G.: Ductile vs. brittle behavior of pre-cracked nanocrystalline and ultrafine-grained materials. Scr. Mater. 58, 5286 (2010).Google Scholar
Ovid’ko, I.A. and Sheinerman, A.G.: Generation and growth of nanocracks near blunt crack in nanocrystalline solids. Eur. J. Mech. A. Solids 33, 39 (2012).CrossRefGoogle Scholar
Muskhelishvili, N.L.: Some Basic Problems of Mathematical Theory of Elasticity (Noordhoff, Leyden, 1975).Google Scholar
Liu, Y.W. and Fang, Q.H.: Interaction of a wedge disclination dipole with circular inclusion. Phys. Status Solidi A 203(3), 443 (2006).CrossRefGoogle Scholar
Song, H.P., Fang, Q.H., and Liu, Y.W.: Elastic behavior of a wedge disclination dipole near a sharp crack emanating from a semi-elliptical blunt crack. Chin. Phys. B, 19(5), 056101 (2010).Google Scholar
Fang, Q.H., Song, H.P., and Liu, Y.W.: Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack. Chin. Phys. B, 19, 016102 (2010).Google Scholar
Fang, Q.H., Liu, Y.W., Jin, B., and Wen, P.H.: Interaction between a dislocation and a core-shell nanowire with interface effects. Int. J. Solids Struct. 46, 1539 (2009).CrossRefGoogle Scholar
Hirth, J.P. and Lothe, J.: Theory of Dislocations, 2nd ed. (John-Wiley, New York, 1964).Google Scholar
Irwin, G.R.: Analysis of stresses and strain near the end of a crack transversing a plate. J. Appl. Mech. 24, 361 (1957).CrossRefGoogle Scholar
Creager, M. and Paris, P.C.: Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int. J. Fract. 3, 247 (1967).CrossRefGoogle Scholar
Rice, J.R. and Thomson, R.: Ductile versus brittle behavior of crystals. Philos. Mag. 29, 73 (1974).CrossRefGoogle Scholar