Abstract
Conventional theory shows that if the mean free path of newly formed dislocations is independent of plastic strain, then the plastic strain is proportional to the square of the stress. If the mean free path decreases during deformation, being proportional to the distance between neighbouring stored dislocations, then the plastic strain is linear in the stress. Experiments on WC–Co hard metals show a region in which the plastic strain increases as the fourth power of the stress, followed by a catastrophic increase. This suggests that the mean free path of dislocations increases with strain and stress. A model is developed in which dislocations travel almost freely in the Co binder and form inverted pile-ups in the terminating WC grains, as in the analysis by Bilby, Cottrell and Swinden of the spread of plastic yield from a notch. The model reproduces the rapid increase of plastic strain with increasing stress reasonably satisfactorily and predicts a very high rate of work hardening as is observed.
References
1 Taylor, G.I.: Proc. Roy. Soc. London A 145 (1934) 362.10.1098/rspa.1934.0106Search in Google Scholar
2 Hara, A.; Ikeda, T.: Trans. Japan Inst. Metals 13 (1972) 128.10.2320/matertrans1960.13.128Search in Google Scholar
3 Dai, H.; Fujiwara, T.; Miyake, K.: Trans. Japan Inst. Metals Suppl. 9 (1968) 616.Search in Google Scholar
4 Bilby, B.A.; Cottrell, A.H.; Swinden, K.H.: Proc. Roy. Soc. Lond. A 272 (1963) 304.10.1098/rspa.1963.0055Search in Google Scholar
5 Exner, H.E.: Int. Met. Rev. 4 (1979) 149.Search in Google Scholar
© 2002 Carl Hanser Verlag, München
Articles in the same Issue
- Frontmatter
- Editorial
- Editorial
- Articles/Aufsätze
- A model for the work hardening of WC–Co “hard metals”
- On the dispersion strengthening mechanisms in ODS materials
- Effect of hydrogen on the mechanical properties of the β titanium alloy Timetal® 21S
- Cyclic deformation behaviour of (α + β) titanium alloys under complex mechanical and physiological loading conditions
- Assessment of the influence of interdendritic shrinkage cavities on the thermo-mechanical fatigue behaviour of the nickel-base superalloy MAR-M247LC
- Effects of static strain aging on residual stress stability and alternating bending strength of shot peened AISI 4140
- On the possibilities to enhance the fatigue properties of ultrafine-grained metals
- New method of determining stress relaxation behavior in creep machines by controlled unloading
- Creep of binary Ni-rich NiTi shape memory alloys and the influence of pre-creep on martensitic transformations
- Interaction of high-cycle fatigue with high-temperature creep in superalloy single crystals
- A unified description of creep in pure and dispersion-strengthened copper
- A new interpretation of flow-stress measurements of high-purity NiAl below room temperature
- A mesoscopic plasticity model accounting for spatial fluctuations of plastic strains, internal stresses and dislocation densities
- Behavior of X-ray peak widths in the Wilkens model of a restrictedly random distribution of dislocations
- Dislocation structure and crystallite size distribution in hexagonal nanomaterials from X-ray peak profile analysis
- Werden gewichtsoptimiert konstruierte Bauteile durch die Verwendung von Leichtmetallen wirklich leichter?*)
- Strain-induced martensite formation in metastable austenitic steels with varying carbon content
- Isothermal bainitic transformation in low alloy steels: factors limiting prediction of the resulting material’s properties
- Fatigue damage evolution in a particulate-reinforced metal matrix composite determined by acoustic emission and compliance method
- Microstructure and modification mechanisms of Si phase in as-thixoformed alloy A356
- Influence of size effect on microstructural changes in cyclically deformed polycrystalline nickel
- Self-diffusion of 71Ge and 31Si in Si –Ge alloys
- On localised corrosive attack, stress corrosion cracking and corrosion fatigue effects in a hardmetal cutting-tool material
- The internal stress during growth of SiC single crystals
- Notifications/Mitteilungen
- Personal/Personelles
- Books/Bücher
- DGM Conferences/Training
Articles in the same Issue
- Frontmatter
- Editorial
- Editorial
- Articles/Aufsätze
- A model for the work hardening of WC–Co “hard metals”
- On the dispersion strengthening mechanisms in ODS materials
- Effect of hydrogen on the mechanical properties of the β titanium alloy Timetal® 21S
- Cyclic deformation behaviour of (α + β) titanium alloys under complex mechanical and physiological loading conditions
- Assessment of the influence of interdendritic shrinkage cavities on the thermo-mechanical fatigue behaviour of the nickel-base superalloy MAR-M247LC
- Effects of static strain aging on residual stress stability and alternating bending strength of shot peened AISI 4140
- On the possibilities to enhance the fatigue properties of ultrafine-grained metals
- New method of determining stress relaxation behavior in creep machines by controlled unloading
- Creep of binary Ni-rich NiTi shape memory alloys and the influence of pre-creep on martensitic transformations
- Interaction of high-cycle fatigue with high-temperature creep in superalloy single crystals
- A unified description of creep in pure and dispersion-strengthened copper
- A new interpretation of flow-stress measurements of high-purity NiAl below room temperature
- A mesoscopic plasticity model accounting for spatial fluctuations of plastic strains, internal stresses and dislocation densities
- Behavior of X-ray peak widths in the Wilkens model of a restrictedly random distribution of dislocations
- Dislocation structure and crystallite size distribution in hexagonal nanomaterials from X-ray peak profile analysis
- Werden gewichtsoptimiert konstruierte Bauteile durch die Verwendung von Leichtmetallen wirklich leichter?*)
- Strain-induced martensite formation in metastable austenitic steels with varying carbon content
- Isothermal bainitic transformation in low alloy steels: factors limiting prediction of the resulting material’s properties
- Fatigue damage evolution in a particulate-reinforced metal matrix composite determined by acoustic emission and compliance method
- Microstructure and modification mechanisms of Si phase in as-thixoformed alloy A356
- Influence of size effect on microstructural changes in cyclically deformed polycrystalline nickel
- Self-diffusion of 71Ge and 31Si in Si –Ge alloys
- On localised corrosive attack, stress corrosion cracking and corrosion fatigue effects in a hardmetal cutting-tool material
- The internal stress during growth of SiC single crystals
- Notifications/Mitteilungen
- Personal/Personelles
- Books/Bücher
- DGM Conferences/Training