Implications of linear relationships between local and macroscopic flow stresses in the composite model
-
Hael Mughrabi
Abstract
Earlier results obtained by X-ray diffraction studies on tensile-deformed [001]-orientated copper single crystals have recently been re-assessed with respect to the evolution of the long-range internal stresses and the local flow stresses of the dislocation cell walls and the cell interiors. It was noted that the magnitudes of the long-range internal stresses and of the local flow stresses increase in good approximation linearly with the applied macroscopic flow stress. In the present work, the results of a similar analysis of earlier published X-ray data, which were obtained on tensile-deformed [001]-orientated Cu–Mn single crystals, are reported. When the friction stress of the alloy is taken into account, similar linear relationships to the case of deformed [001]-orientated copper single crystals were obtained. The implications of these results are analyzed in the framework of the composite model of crystal plasticity. It is shown that linear relationships of the type considered imply, in terms of the composite model, that the ratio between the local dislocation densities in the dislocation cell walls and the cell interiors must remain constant during deformation. This result is discussed with respect to the experimentally obtained data on local dislocation densities.
References
[1] M.Wilhelm, F.Aldinger: Z. Metallkd.66 (1975) 323.Suche in Google Scholar
[2] F.Aldinger, G.Petzow, in: D.Webster, G.J.London: Beryllium: Science and Technology, Vol. 1, Plenum Press, London (1979) p.235.Suche in Google Scholar
[3] H.Mughrabi, in: P. Haasen, V. Gerold, G. Kostorz (Eds.), Proceedings of Fifth International Conference on the Strength of Metals and Alloys (ICSMA 5), Vol. 3, Pergamon Press (1980) p.1615.Suche in Google Scholar
[4] H.Mughrabi: Acta metall.31 (1983) 1367.10.1016/0001-6160(83)90007-XSuche in Google Scholar
[5] H.Mughrabi, T.Ungár, in: F.R.N.Nabarro, M.Duesburry (Eds.), Dislocations in Solids, Vol. 11, Elsevier Science B.V. (2002) 343.10.1016/S1572-4859(02)80011-0Suche in Google Scholar
[6] T.Ungár, H.Mughrabi, D.Rönnpagel, M.Wilkens: Acta metall.32 (1984) 793.10.1016/0001-6160(84)90152-4Suche in Google Scholar
[7] H.Mughrabi, T.Ungár, W.Kienle, M.Wilkens: Phil. Mag.53 (1986) 793.10.1080/01418618608245293Suche in Google Scholar
[8] T.Ungár, H.Mughrabi, M.Wilkens, A.Hilscher: Phil. Mag.A64 (1991) 495.Suche in Google Scholar
[9] H.Mughrabi, in: Proceedings of International Conference on Micromechanics and Microstructure Evolution: Modeling, Simulation and Experiment, Madrid, Sept. 2005, submitted to Proceedings, to appear in Special Issue of Acta Materialia.Suche in Google Scholar
[10] H.Mughrabi: Phil. Mag. Special Volume, dedicated to Professor Frank Nabarro on the occasion of his 90th birthday, in press.Suche in Google Scholar
[11] A.Hilscher, M.Wilkens: Scripta metall.23 (1989) 785.10.1016/0036-9748(89)90531-0Suche in Google Scholar
[12] A.Hilscher: Doctoral Thesis, Stuttgart University (1990).Suche in Google Scholar
[13] J.Gil Sevillano, in: H.Mughrabi (Ed.), Plastic Deformation and Fracture of Materials, Vol. 6 of R.W.Cahn, P.Haasen, E.J.Kramer (Eds.), Materials Science and Technology, VCH, Weinheim (1993) p.19.Suche in Google Scholar
© 2006, Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Editorial
- Basic
- Three-dimensional printing of TiAl3/Al2O3 composites
- Microemulsion mediated synthesis of nanocrystalline BaTiO3: possibilities, potential and perspectives
- Solid-State 17O NMR studies on Yttria-stabilized zirconia
- Twinning in ultrathin silicon nanowires
- Re-optimization of the Mg–Sb system under topological constraints
- Mg-rich phase equilibria of Mg–Mn–Zn alloys analyzed by computational thermochemistry
- The In–Pt–Sb phase diagram
- Thermodynamic evaluation of the Al–Cr–C system
- Thermodynamic description of the Ni–Si–Ti ternary system
- Enthalpies of formation measurements and thermodynamic description of the Ag–Cu–Zn system
- Thermodynamic assessment of the Mn–Cr–O system for solid oxide fuel cell (SOFC) materials
- Subsolidus phase equilibria in the CeO2−x–SiO2–ZrO2 system: An experimental study
- Generalized Maugis–Dugdale model of an elastic cylinder in non-slipping adhesive contact with a stretched substrate
- Implications of linear relationships between local and macroscopic flow stresses in the composite model
- Applied
- Gas-phase surface alloying under “kinetic control”: A novel approach to improving the surface properties of titanium alloys
- Thin film formation by oriented attachment of polymer-capped nanocrystalline ZnO
- The sintering mechanism and microstructure evolution in SiC–AlN ceramics studiedby EFTEM
- Thermal evolution of free volumes and of crystallization in amorphous Si–B–C–N ceramics
- High-temperature deformation behavior of nanocrystalline precursor-derived Si–B–C–N ceramics in controlled atmosphere
- Nanopowder dispersion and spray-drying process: the case of Cr2O3
- Electroless deposition of brushite (CaHPO4 · 2H2O) crystals on Ti–6Al–4V at room temperature
- The role of chemisorbed anions in the aqueous processing of AlN powder
- The influence of porosity on the electrical properties of liquid-phase sintered silicon carbide
- Development of high-temperature thermoelectric materials based on SrTiO3-layered perovskites
- The influence of the preparation method on the microstructure and properties of Al2O3/TiN nanocomposites
- Infrared properties of sintered α-MnSe
- Quasi-equilibrium sintering of particle clusters containing Bernal holes
- Design of metal ceramic composites
- Notifications
- DGM News
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Editorial
- Basic
- Three-dimensional printing of TiAl3/Al2O3 composites
- Microemulsion mediated synthesis of nanocrystalline BaTiO3: possibilities, potential and perspectives
- Solid-State 17O NMR studies on Yttria-stabilized zirconia
- Twinning in ultrathin silicon nanowires
- Re-optimization of the Mg–Sb system under topological constraints
- Mg-rich phase equilibria of Mg–Mn–Zn alloys analyzed by computational thermochemistry
- The In–Pt–Sb phase diagram
- Thermodynamic evaluation of the Al–Cr–C system
- Thermodynamic description of the Ni–Si–Ti ternary system
- Enthalpies of formation measurements and thermodynamic description of the Ag–Cu–Zn system
- Thermodynamic assessment of the Mn–Cr–O system for solid oxide fuel cell (SOFC) materials
- Subsolidus phase equilibria in the CeO2−x–SiO2–ZrO2 system: An experimental study
- Generalized Maugis–Dugdale model of an elastic cylinder in non-slipping adhesive contact with a stretched substrate
- Implications of linear relationships between local and macroscopic flow stresses in the composite model
- Applied
- Gas-phase surface alloying under “kinetic control”: A novel approach to improving the surface properties of titanium alloys
- Thin film formation by oriented attachment of polymer-capped nanocrystalline ZnO
- The sintering mechanism and microstructure evolution in SiC–AlN ceramics studiedby EFTEM
- Thermal evolution of free volumes and of crystallization in amorphous Si–B–C–N ceramics
- High-temperature deformation behavior of nanocrystalline precursor-derived Si–B–C–N ceramics in controlled atmosphere
- Nanopowder dispersion and spray-drying process: the case of Cr2O3
- Electroless deposition of brushite (CaHPO4 · 2H2O) crystals on Ti–6Al–4V at room temperature
- The role of chemisorbed anions in the aqueous processing of AlN powder
- The influence of porosity on the electrical properties of liquid-phase sintered silicon carbide
- Development of high-temperature thermoelectric materials based on SrTiO3-layered perovskites
- The influence of the preparation method on the microstructure and properties of Al2O3/TiN nanocomposites
- Infrared properties of sintered α-MnSe
- Quasi-equilibrium sintering of particle clusters containing Bernal holes
- Design of metal ceramic composites
- Notifications
- DGM News