Grain size, strain rate, and temperature dependence of flow stress in ultra-fine grained and nanocrystalline Cu and Al: Synthesis, experiment, and constitutive modeling

International Journal of Plasticity

Volumn 25, Issue 5, 2009, Pages 715-732

  Farrokh, Babak ^a   Khan, Akhtar S ^a  

^a Baltimore County   (United States)

Author keywords

Compression experiments; Constitutive modeling; Nanocrystalline materials; Split Hopkinson pressure bar technique; Temperature dependency

Indexed keywords

ALUMINUM; BRIDGE DECKS; CONSTITUTIVE EQUATIONS; ELECTRIC LOAD SHEDDING; EXPERIMENTS; GRAIN REFINEMENT; GRAIN SIZE AND SHAPE; MATERIALS; MECHANICAL ALLOYING; MECHANICAL PROPERTIES; MILLING (MACHINING); NANOCRYSTALLINE MATERIALS; PLASTIC FLOW; POLYCRYSTALLINE MATERIALS; REAL TIME SYSTEMS; THERMAL EFFECTS;

COMPREHENSIVE STUDIES; COMPRESSION EXPERIMENTS; CONSOLIDATION PROCESS; CONSTITUTIVE MODELING; DEVELOPED MODELS; EFFECT OF TEMPERATURES; FCC METALS; FLOW STRESS; GRAIN SIZES; HIGH QUALITIES; HIGH STRENGTH AND DUCTILITIES; MECHANICAL MILLINGS; NANO METER RANGES; NANO-CRYSTALLINE; NANOCRYSTALLINE CU; PLASTIC REGIMES; QUASI STATICS; QUASI-STATIC STRAIN RATES; SPLIT-HOPKINSON PRESSURE BAR TECHNIQUE; STRESS-STRAIN RESPONSE; SUB MICRONS; TEMPERATURE DEPENDENCES; TEMPERATURE DEPENDENCY; TEMPERATURE DEPENDENTS; ULTRA-FINE GRAINED; UNIAXIAL COMPRESSIVE LOADINGS; VISCOPLASTIC; VISCOPLASTIC RESPONSE; WIDE SPECTRUMS;

STRAIN RATE;

EID: 61849138926     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.08.001     Document Type: Article

References (52)

1. Barai P., and Weng G.J. The competition of grain size and porosity in the viscoplastic response of nanocrystalline solids. International Journal of Plasticity 24 8 (2008) 1380-1410
2. Berbenni S., Favier V., and Berveiller M. Micro-macro modelling of the effects of the grain size distribution on the plastic flow stress of heterogeneous materials. Computational Materials Science 39 1 (2007) 96-105
3. Bonetti E., Pasquini L., and Sampaolesi E. The influence of grain size on the mechanical properties of nanocrystalline aluminium. Nanostructured Materials 9 1-8 (1997) 611-614
4. Capolungo L., Cherkaoui M., and Qu J. On the elastic-viscoplastic behavior of nanocrystalline materials. International Journal of Plasticity 23 4 (2007) 561-591
5. Champion Y., Guerin-Mailly S., Bonnentien J.L., and Langlois P. Fabrication of bulk nanostructured materials from metallic nanopowders: Structure and mechanical behavior. Scripta Materialia 44 8-9 (2001) 1609-1613
6. Cheng S., Ma E., Wang Y.M., Kecskes L.J., Youssef K.M., Koch C.C., Trociewitz U.P., and Han K. Tensile properties of in situ consolidated nanocrystalline Cu. Acta Materialai 53 5 (2005) 1521-1533
7. Chinh N.Q., Szommer P., Csanádi T., and Langdon T.G. Flow processes at low temperatures in ultrafine-grained aluminum. Materials Science and Engineering A 434 1-2 (2006) 326-334
8. Estrin Y., Isaev N.V., Lubenets S.V., Malykhin S.V., Pugachov A.T., Pustovalov V.V., Reshetnyak E.N., Fomenko V.S., Fomenko L.S., Shumilin S.E., Janecek M., and Hellmig R.J. Effect of microstructure on plastic deformation of Cu at low homologous temperature. Acta Materialia 54 20 (2006) 5581-5590
9. Gaffet E., Harmelin M., and Faudot F. Far-from equilibrium phase-transition induced by mechanical alloying in the Cu-Fe system. Journal of Alloys and Compounds 194 1 (1993) 23-30
10. Gray III G.T., Lowe T.C., Cady C.M., Valiev R.Z., and Aleksandrov I.V. Influence of strain rate and temperature on the mechanical response of ultrafine-grained Cu, Ni, and Al-4Cu-0.5Zr. Nanostructured Materials 9 1-8 (1997) 477-480
11. Hayes R.W., Witkin D., Zhou F., and Lavernia E.J. Deformation and activation volume of cryomilled ultrafine-grained aluminum. Acta Materialai 52 14 (2004) 4259-4271
12. Jia D., Ramesh K.T., and Ma E. Effect of nanocrystalline and ultrafine grain sizes on constitutive behavior and shear bands in iron. Acta Materialia 51 12 (2003) 3495-3509
13. Johnson, G.R., Cook, W.H., 1983. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Proceedings of the Seventh International Symposium on Ballistic, Hague, Netherlands, pp. 541-547.
14. Joshi S.P., Ramesh K.T., Han B.Q., and Lavernia E.J. Modeling the constitutive response of bimodal metals. Metallurgical and Materials Transactions A 37A 8 (2006) 2397-2404
15. Khan A.S., and Farrokh B. Thermo-mechanical response of nylon 101 under uniaxial and multi-axial loadings: Part I, Experimental results over wide ranges of temperatures and strain rates. International Journal of Plasticity 22 8 (2006) 1506-1529
16. -1. International Journal of Plasticity 8 4 (1992) 397-424
17. Khan A.S., and Liang R.Q. Behaviors of three BCC metals over wide range of strain rates and temperatures: experiments and modeling. International Journal of Plasticity 15 10 (1999) 1089-1109
18. Khan A.S., Zhang H., and Takacs L. Mechanical response and modeling of fully compacted nanocrystalline iron and copper. International Journal of Plasticity 16 12 (2000) 1459-1476
19. Khan A.S., Suh Y.S., and Kazmi R. Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys. International Journal of Plasticity 20 12 (2004) 2233-2248
20. Khan A.S., Suh Y.S., Chen X., Takacs L., and Zhang H. Nanocrystalline aluminum and iron: Mechanical behavior at quasi-static and high strain rates, and constitutive modeling. International Journal of Plasticity 22 2 (2006) 195-209
21. Khan A.S., Kazmi R., Farrokh B., and Zupan M. Effect of oxygen content and microstructure on the thermo-mechanical response of three Ti-6Al-4V alloys: Experiments and modeling over a wide range of strain-rates and temperatures. International Journal of Plasticity 23 7 (2007) 1105-1125
22. Khan A.S., Farrokh B., and Takacs L. Effect of grain refinement on mechanical properties of ball-milled bulk aluminum. Material Science and Engineering A 489 1-2 (2008) 77-84
23. Khan A.S., Farrokh B., and Takacs L. Compressive properties of Cu with different grain sizes: Sub-micron to nanometer realm. Journal of Materials Science 43 9 (2008) 3305-3313
24. Kim H.S., Estrin Y., and Bush M.B. Plastic deformation behaviour of fine-grained materials. Acta Materialia 48 2 (2000) 493-504
25. Li J., and Weng G.J. A secant-viscosity composite model for the strain-rate sensitivity of nanocrystalline materials. International Journal of Plasticity 23 12 (2007) 2115-2133
26. Ma E. Eight routes to improve the tensile ductility of bulk nanostructured metals and alloys. JOM 58 4 (2006) 49-53
27. Meyers M.A., Mishra A., and Benson D.J. Mechanical properties of nanocrystalline materials. Progress in Materials Science 51 4 (2006) 427-556
28. Meyers M.A., Mishra A., and Benson D.J. The deformation physics of nanocrystalline metals: Experiments, analysis, and computations. JOM 58 4 (2006) 41-48
29. Mishura J.C., Suryanarayana C., and Froes H.F. ID: University of Idaho. In: Suryanarayana C. (Ed). Mechanical alloying and milling (1994), Marcel Dekker, New York (NY) 400 2004
30. Nieman G.W., and Weertman J.R. Mechanical behavior of nanocrystalline Cu and Pd. Journal of Materials Research 6 5 (1991) 1012-1027
31. Qin X.Y., Zhu X.G., Gao S., Chi L.F., and Lee J.S. Temperature dependence of compressive behavior of bulk nanocrystalline Ni-Fe. Scripta Materialia 46 8 (2002) 611-616
32. Sanders P.G., Eastman J.A., and Weertman J.R. Elastic and tensile behavior of nanocrystalline copper and palladium. Acta Materialia 45 10 (1997) 4019-4025
33. Sanders P.G., Youngdahl C.J., and Weertman J.R. The strength of nanocrystalline metals with and without flaws. Materials Science and Engineering A 234 (1997) 77-82
34. Sergueeva A.V., Mara N.A., and Mukherjee A.K. Grain boundary sliding in nanomaterials at elevated temperatures. Journal of Materials Science 42 5 (2007) 1433-1438
35. Shaw L.L., and Luo H. Deformation behavior and mechanisms of nanocrystalline multi-phase aluminum alloy. Journal of Materials Science 42 5 (2007) 1415-1426
36. Smirnov B.I., Shpeǐzman, and Nikolaen V.I. High strength and superplasticity of nanocrystalline materials. Physics of the Solid State 47 5 (2005) 840-844
37. Sun P.L., Cerreta E.K., Gray III G.T., and Bingert J.F. The effect of grain size, strain rate, and temperature on the mechanical behavior of commercial purity aluminum. Metallurgical and Materials Transactions A 37A 10 (2006) 2983-2994
38. Torre F.D., Van Swygenhoven H., and Victoria M. Nanocrystalline electrodeposited Ni: microstructure and tensile properties. Acta Materialia 50 15 (2002) 3957-3970
39. Torre F.D., Van Swygenhoven H., Schäublin R., Spätig P., and Victoria M. Mechanical behavior of nanocrystalline electrodeposited Ni above room temperature. Scripta Materialia 53 1 (2005) 23-27
40. Trelewicz J.R., and Schuh C.A. The Hall-Petch breakdown in nanocrystalline metals: A crossover to glass-like deformation. Acta Materialia 55 17 (2007) 5948-5958
41. Wang Y.M., and Ma E. On the origin of ultrahigh cryogenic strength of nanocrystalline metals. Applied Physics Letter 85 14 (2004) 2750-2752
42. Wang Y.M., and Ma E. Three strategies to achieve uniform tensile deformation in a nanostructured metal. Acta Materialia 52 6 (2004) 1699-1709
43. Wang Y., Ma E., Valiev R.Z., and Zhu Y. Tough nanostructured metals at cryogenic temperatures. Advanced Materials 16 4 (2004) 328-331
44. Wang Y.M., Bringa E.M., McNaney J.M., Victoria M., Caro M.V., Hodge A.M., Smith R., Torralva B., Remington B.A., Schuh C.A., Jamarkani H., and Meyers M.A. Deforming nanocrystalline nickel at ultrahigh strain rates. Applied Physics Letter 88 6 (2006) Art. No. 061917
45. Wang Y.M., Bringa E.M., Victoria M., Caro M.V., McNaney J.M., Smith R., and Remington B.A. Deformation of nanocrystalline materials at ultrahigh strain rates-microstructure perspective in nanocrystalline nickel. Journal de Physique IV 134 (2006) 915-920
46. Wang Y.M., Huang J.Y., Jiao T., Zhu Y.T., and Hamza A.V. Abnormal strain hardening in nanostructured titanium at high strain rates and large strains. Journal of Materials Science 42 5 (2007) 1751-1756
47. Warner D.H., Sansoz F., and Molinari J.F. Atomistic based continuum investigation of plastic deformation in nanocrystalline copper. International Journal of Plasticity 22 4 (2006) 754-774
48. Wei Y.J., and Anand L. Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals. Journal of the Mechanics and Physics of Solids 52 11 (2004) 2587-2616
49. Wei Y., and Anand L. A constitutive model for powder-processed nanocrystalline metals. Acta Materialia 55 3 (2007) 921-931
50. Wen Y.H., Zhou F.X., and Liu Y.W. The influence of grain size and temperature on the mechanical deformation of nanocrystalline materials: Molecular dynamics simulations. Chinese Physics 10 5 (2001) 407-412
51. Witkin D., Han B.Q., and Lavernia E.J. Mechanical behavior of ultrafine-grained cryomilled Al 5083 at elevated temperatures. Journal of Materials Engineering and Performance 14 4 (2005) 519-527
52. Youssef K.M., Scattergood R.O., Murty K.L., Horton J.A., and Koch C.C. Ultrahigh strength and high ductility of bulk nanocrystalline copper. Applied Physic Letters 87 9 (2005) Art. No. 091904