A new criterion for elasto-plastic transition in nanomaterials: Application to size and composite effects on Cu–Nb nanocomposite wires

Abstract Nanocomposite wires composed of a multi-scale Cu matrix embedding Nb nanotubes are cyclically deformed in tension under synchrotron radiation in order to follow the X-ray peak profiles (position and width) during mechanical testing. The evolution of elastic strains vs. applied stress suggests the presence of phase-specific elasto-plastic regimes. The nature of the elasto-plastic transition is uncovered by the “tangent modulus” analysis and correlated to the microstructure of the Cu channels and the Nb nanotubes. Finally, a new criterion for the determination of the macroyield stress is given as the stress to which the macroscopic work hardening, θa = dσa/de0, becomes smaller than one third of the macroscopic elastic modulus.

[1]  M. Verdier,et al.  Elasto-plastic behaviour of thin metal films , 2007 .

[2]  S. Brandstetter,et al.  From Micro‐ to Macroplasticity , 2006 .

[3]  J. V. Stebut,et al.  Size-induced enhanced mechanical properties of nanocomposite copper/niobium wires: nanoindentation study , 2002 .

[4]  W. Blum,et al.  On the relaxation of the long-range internal stresses of deformed copper upon unloading , 2000 .

[5]  M. Véron,et al.  High-strength materials: in-situ investigations of dislocation behaviour in Cu-Nb multifilamentary nanostructured composites , 2002 .

[6]  Joost J. Vlassak,et al.  Bauschinger and size effects in thin-film plasticity , 2006 .

[7]  H. V. Swygenhoven,et al.  Plasticity of nanostructured Cu–Nb-based wires: Strengthening mechanisms revealed by in situ deformation under neutrons , 2009 .

[8]  G. Saada From the single crystal to the nanocrystal , 2005 .

[9]  B. Schmitt,et al.  Evidence of internal Bauschinger test in nanocomposite wires during in situ macroscopic tensile cycling under synchrotron beam , 2007 .

[10]  P. Liaw,et al.  Strain-dependent deformation behavior in nanocrystalline metals. , 2008, Physical review letters.

[11]  M. E. Kassner,et al.  Primary and secondary dislocation dipole heights in cyclically deformed copper single crystals , 2001 .

[12]  D. Maroudas,et al.  Applicability of Born's stability criterion to face-centered-cubic crystals in [111] loading , 2005 .

[13]  H. E. Fang,et al.  Theoretical bcc⇆fcc Transitions in Metals via Bifurcations under Uniaxial Load , 1995 .

[14]  Subra Suresh,et al.  Mechanical behavior of nanocrystalline metals and alloys , 2003 .

[15]  J. Weiss,et al.  Hall-petch law revisited in terms of collective dislocation dynamics. , 2006, Physical review letters.

[16]  M. Ashby The deformation of plastically non-homogeneous materials , 1970 .

[17]  C. Sinclair,et al.  Role of internal stresses in co-deformed two-phase materials , 2006 .

[18]  H. V. Swygenhoven,et al.  Plasticity of multiscale nanofilamentary Cu/Nb composite wires during in situ neutron diffraction: Codeformation and size effect , 2006 .

[19]  H. Maier,et al.  Long-range internal stresses in cell and subgrain structures of copper during deformation at constant stress , 1996 .

[20]  M. E. Kassner,et al.  Determination of internal stresses in cyclically deformed copper single crystals using convergent-beam electron diffraction and dislocation dipole separation measurements , 2000 .

[21]  B. Schmitt,et al.  Following peak profiles during elastic and plastic deformation: A synchrotron-based technique , 2006 .

[22]  Vanessa Vidal,et al.  Cu nanowhiskers embedded in Nb nanotubes inside a multiscale Cu matrix: The way to reach extreme mechanical properties in high strength conductors , 2007 .

[23]  Amit Misra,et al.  Structure and mechanical properties of Cu-X (X = Nb,Cr,Ni) nanolayered composites , 1998 .

[24]  E. Arzt Size effects in materials due to microstructural and dimensional constraints: a comparative review , 1998 .

[25]  Amit Misra,et al.  Length-scale-dependent deformation mechanisms in incoherent metallic multilayered composites , 2005 .