A dislocation-based model for all hardening stages in large strain deformation
Identifieur interne : 00C939 ( Main/Exploration ); précédent : 00C938; suivant : 00C940A dislocation-based model for all hardening stages in large strain deformation
Auteurs : Y. Estrin [Australie] ; L. S. T Th [France] ; A. Molinari [France] ; Y. Bréchet [France]Source :
- Acta Materialia [ 1359-6454 ] ; 1998.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
- Absolute temperature, Acta, Acta metall, Acta metallurgica, Arrhenius equation, Average dislocation spacing, Cell interiors, Cell size, Cell structure, Cell wall, Cell walls, Cellular structure, Constant taylor factor, Constant value, Constitutive, Constitutive model, Constitutive relations, Copper torsion, Deformation, Dislocation, Dislocation cell structure, Dislocation densities, Dislocation density, Dislocation density evolution, Dislocation generation, Dislocation structure, Dislocations, Elsevier science, Estrin, Evolution equation, Evolution equations, Experimental data, Experimental results, Fault energy, Good agreement, Gradual decrease, Haasen, Hardening, High dislocation density, Initial values, Internal stresses, Internal variables, Large strain, Large strain deformation, Large strains, Late stages, Macroscopic, Macroscopic shear stress, Macroscopic stress, Mater, Materials science, Mechanical model, Mechanical properties, Metall, Model predictions, Modelling, Outer surface, Plastic deformation, Plastic flow, Polycrystal, Polycrystal texture simulations, Present model, Present paper, Present work, Principal axes, Pure copper, Room temperature, Shear, Shear direction, Shear plane, Shear rate, Shear strain, Shear strain rate, Shear stress, Shear stresses, Simple shear, Solid line, Strain compatibility, Strain rate, Strain rate tensors, Stress saturation, Stress state, System level, Taylor factor, Taylor factor evolution, Theoretical study, Time interval, Torsion, Torsion deformation, Torsional deformation, Torsional shear rate, Total dislocation density, Ungar, Unit cell, Volume fraction, Western australia, Zehetbauer.
- Teeft :
- Absolute temperature, Acta, Acta metall, Acta metallurgica, Arrhenius equation, Average dislocation spacing, Cell interiors, Cell size, Cell structure, Cell wall, Cell walls, Cellular structure, Constant taylor factor, Constant value, Constitutive, Constitutive model, Constitutive relations, Copper torsion, Deformation, Dislocation, Dislocation cell structure, Dislocation densities, Dislocation density, Dislocation density evolution, Dislocation generation, Dislocation structure, Elsevier science, Estrin, Evolution equation, Evolution equations, Experimental data, Experimental results, Fault energy, Good agreement, Gradual decrease, Haasen, High dislocation density, Initial values, Internal stresses, Internal variables, Large strain, Large strain deformation, Large strains, Late stages, Macroscopic, Macroscopic shear stress, Macroscopic stress, Mater, Materials science, Metall, Model predictions, Outer surface, Plastic deformation, Polycrystal, Polycrystal texture simulations, Present model, Present paper, Present work, Principal axes, Pure copper, Room temperature, Shear direction, Shear plane, Shear rate, Shear strain, Shear strain rate, Shear stress, Shear stresses, Simple shear, Solid line, Strain compatibility, Strain rate, Strain rate tensors, Stress saturation, Stress state, System level, Taylor factor, Taylor factor evolution, Time interval, Torsion, Torsion deformation, Torsional deformation, Torsional shear rate, Total dislocation density, Ungar, Unit cell, Volume fraction, Western australia, Zehetbauer.
Abstract
Abstract: A new model is presented to describe the hardening behaviour of cell-forming crystalline materials at large strains. Following previous approaches, the model considers a cellular dislocation structure consisting of two phases: the cell walls and the cell interiors. The dislocation density evolution in the two phases is considered in conjunction with a mechanical analysis for the cell structure in torsional deformation in which the cell walls are lying at 45° with respect to the macroscopic shear plane and are strongly elongated in the direction perpendicular to the applied shear direction. Guided by recent results on the volume fraction of cell walls [Müller, Zehetbauer, Borbély and Ungár, Z. Metallk. 1995, 86, 827], the cell-wall volume fraction is considered to decrease as a function of strain. Within a single formulation, all stages of large strain behaviour are correctly reproduced in an application for copper torsion. Moreover, strain rate and temperature effects are accounted for correctly and the predicted dislocation densities are in accord with experimental measurements. It is suggested that the factor responsible for the occurrence of hardening Stages IV and V is a continuous decrease of the volume fraction of the cell walls at large strains. A significant effect of the deformation texture variation on strain hardening is also discussed.
Url:
DOI: 10.1016/S1359-6454(98)00196-7
Affiliations:
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Le document en format XML
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<term>Acta metall</term>
<term>Acta metallurgica</term>
<term>Arrhenius equation</term>
<term>Average dislocation spacing</term>
<term>Cell interiors</term>
<term>Cell size</term>
<term>Cell structure</term>
<term>Cell wall</term>
<term>Cell walls</term>
<term>Cellular structure</term>
<term>Constant taylor factor</term>
<term>Constant value</term>
<term>Constitutive</term>
<term>Constitutive model</term>
<term>Constitutive relations</term>
<term>Copper torsion</term>
<term>Deformation</term>
<term>Dislocation</term>
<term>Dislocation cell structure</term>
<term>Dislocation densities</term>
<term>Dislocation density</term>
<term>Dislocation density evolution</term>
<term>Dislocation generation</term>
<term>Dislocation structure</term>
<term>Dislocations</term>
<term>Elsevier science</term>
<term>Estrin</term>
<term>Evolution equation</term>
<term>Evolution equations</term>
<term>Experimental data</term>
<term>Experimental results</term>
<term>Fault energy</term>
<term>Good agreement</term>
<term>Gradual decrease</term>
<term>Haasen</term>
<term>Hardening</term>
<term>High dislocation density</term>
<term>Initial values</term>
<term>Internal stresses</term>
<term>Internal variables</term>
<term>Large strain</term>
<term>Large strain deformation</term>
<term>Large strains</term>
<term>Late stages</term>
<term>Macroscopic</term>
<term>Macroscopic shear stress</term>
<term>Macroscopic stress</term>
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<term>Materials science</term>
<term>Mechanical model</term>
<term>Mechanical properties</term>
<term>Metall</term>
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<term>Polycrystal texture simulations</term>
<term>Present model</term>
<term>Present paper</term>
<term>Present work</term>
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<term>Pure copper</term>
<term>Room temperature</term>
<term>Shear</term>
<term>Shear direction</term>
<term>Shear plane</term>
<term>Shear rate</term>
<term>Shear strain</term>
<term>Shear strain rate</term>
<term>Shear stress</term>
<term>Shear stresses</term>
<term>Simple shear</term>
<term>Solid line</term>
<term>Strain compatibility</term>
<term>Strain rate</term>
<term>Strain rate tensors</term>
<term>Stress saturation</term>
<term>Stress state</term>
<term>System level</term>
<term>Taylor factor</term>
<term>Taylor factor evolution</term>
<term>Theoretical study</term>
<term>Time interval</term>
<term>Torsion</term>
<term>Torsion deformation</term>
<term>Torsional deformation</term>
<term>Torsional shear rate</term>
<term>Total dislocation density</term>
<term>Ungar</term>
<term>Unit cell</term>
<term>Volume fraction</term>
<term>Western australia</term>
<term>Zehetbauer</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>6220F</term>
<term>Cisaillement</term>
<term>Densité dislocation</term>
<term>Dislocation</term>
<term>Durcissement</term>
<term>Ecoulement plastique</term>
<term>Etude théorique</term>
<term>Modèle mécanique</term>
<term>Modélisation</term>
<term>Propriété mécanique</term>
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<term>Acta metall</term>
<term>Acta metallurgica</term>
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<term>Average dislocation spacing</term>
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<term>Cell structure</term>
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<term>Cellular structure</term>
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<term>Constant value</term>
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<term>Constitutive model</term>
<term>Constitutive relations</term>
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<term>Deformation</term>
<term>Dislocation</term>
<term>Dislocation cell structure</term>
<term>Dislocation densities</term>
<term>Dislocation density</term>
<term>Dislocation density evolution</term>
<term>Dislocation generation</term>
<term>Dislocation structure</term>
<term>Elsevier science</term>
<term>Estrin</term>
<term>Evolution equation</term>
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<term>Experimental data</term>
<term>Experimental results</term>
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<term>Haasen</term>
<term>High dislocation density</term>
<term>Initial values</term>
<term>Internal stresses</term>
<term>Internal variables</term>
<term>Large strain</term>
<term>Large strain deformation</term>
<term>Large strains</term>
<term>Late stages</term>
<term>Macroscopic</term>
<term>Macroscopic shear stress</term>
<term>Macroscopic stress</term>
<term>Mater</term>
<term>Materials science</term>
<term>Metall</term>
<term>Model predictions</term>
<term>Outer surface</term>
<term>Plastic deformation</term>
<term>Polycrystal</term>
<term>Polycrystal texture simulations</term>
<term>Present model</term>
<term>Present paper</term>
<term>Present work</term>
<term>Principal axes</term>
<term>Pure copper</term>
<term>Room temperature</term>
<term>Shear direction</term>
<term>Shear plane</term>
<term>Shear rate</term>
<term>Shear strain</term>
<term>Shear strain rate</term>
<term>Shear stress</term>
<term>Shear stresses</term>
<term>Simple shear</term>
<term>Solid line</term>
<term>Strain compatibility</term>
<term>Strain rate</term>
<term>Strain rate tensors</term>
<term>Stress saturation</term>
<term>Stress state</term>
<term>System level</term>
<term>Taylor factor</term>
<term>Taylor factor evolution</term>
<term>Time interval</term>
<term>Torsion</term>
<term>Torsion deformation</term>
<term>Torsional deformation</term>
<term>Torsional shear rate</term>
<term>Total dislocation density</term>
<term>Ungar</term>
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<front><div type="abstract" xml:lang="en">Abstract: A new model is presented to describe the hardening behaviour of cell-forming crystalline materials at large strains. Following previous approaches, the model considers a cellular dislocation structure consisting of two phases: the cell walls and the cell interiors. The dislocation density evolution in the two phases is considered in conjunction with a mechanical analysis for the cell structure in torsional deformation in which the cell walls are lying at 45° with respect to the macroscopic shear plane and are strongly elongated in the direction perpendicular to the applied shear direction. Guided by recent results on the volume fraction of cell walls [Müller, Zehetbauer, Borbély and Ungár, Z. Metallk. 1995, 86, 827], the cell-wall volume fraction is considered to decrease as a function of strain. Within a single formulation, all stages of large strain behaviour are correctly reproduced in an application for copper torsion. Moreover, strain rate and temperature effects are accounted for correctly and the predicted dislocation densities are in accord with experimental measurements. It is suggested that the factor responsible for the occurrence of hardening Stages IV and V is a continuous decrease of the volume fraction of the cell walls at large strains. A significant effect of the deformation texture variation on strain hardening is also discussed.</div>
</front>
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