“…[2]. This equation includes the energy stored in the dislocations and the dislocation core, but excludes the contribution of internal stresses caused by the presence of the dislocations.…”
Section: A Stored Energy-dscmentioning
confidence: 99%
“…The contribution from the high-angle boundaries is taken into account through the grain-boundary energy (Eq. [2]). For samples deformed to large strains, this contribution may account for a large fraction of the stored energy, as the fraction of high-angle boundaries may be as high as 60 to 80 pct.…”
Section: A Stored Energy-dscmentioning
confidence: 99%
“…[1] The stored energy can be measured directly by calorimetry [1,2,[3][4][5][6][7][8][9][10][11] or it can be estimated based on a microstructural characterization. [12][13][14] In recent studies, the correlation between the stored energy of the deformation and the characteristics of the deformed microstructure has been analyzed.…”
High-purity polycrystalline nickel (99.99 pct purity) was cold rolled to equivalent von Mises strains from 1.4 to 4.5 (70 to 98 pct reduction in thickness). The stored energy of the deformed samples was measured using both microstructural parameters obtained from transmission electron microscope (TEM) investigations and differential scanning calorimetry (DSC). For the microstructure-based estimate of the stored energy, the required parameters are the misorientation angles across, and the spacings between the dislocation boundaries and high-angle boundaries present after deformation. It was found that the stored energy determined from both TEM and DSC investigations increased linearly with strain, with the latter being larger by a factor of between 1.9 and 2.7. This difference can be reduced by considering the contribution to the stored energy from other sources.
“…[2]. This equation includes the energy stored in the dislocations and the dislocation core, but excludes the contribution of internal stresses caused by the presence of the dislocations.…”
Section: A Stored Energy-dscmentioning
confidence: 99%
“…The contribution from the high-angle boundaries is taken into account through the grain-boundary energy (Eq. [2]). For samples deformed to large strains, this contribution may account for a large fraction of the stored energy, as the fraction of high-angle boundaries may be as high as 60 to 80 pct.…”
Section: A Stored Energy-dscmentioning
confidence: 99%
“…[1] The stored energy can be measured directly by calorimetry [1,2,[3][4][5][6][7][8][9][10][11] or it can be estimated based on a microstructural characterization. [12][13][14] In recent studies, the correlation between the stored energy of the deformation and the characteristics of the deformed microstructure has been analyzed.…”
High-purity polycrystalline nickel (99.99 pct purity) was cold rolled to equivalent von Mises strains from 1.4 to 4.5 (70 to 98 pct reduction in thickness). The stored energy of the deformed samples was measured using both microstructural parameters obtained from transmission electron microscope (TEM) investigations and differential scanning calorimetry (DSC). For the microstructure-based estimate of the stored energy, the required parameters are the misorientation angles across, and the spacings between the dislocation boundaries and high-angle boundaries present after deformation. It was found that the stored energy determined from both TEM and DSC investigations increased linearly with strain, with the latter being larger by a factor of between 1.9 and 2.7. This difference can be reduced by considering the contribution to the stored energy from other sources.
“…For many years, based on the work of Taylor and Quinney, the part of plastic work stored in the metallic material was considered to be a constant value of about 10 % of the whole plastic work. Nevertheless, further experimental studies have shown that this estimation was wrong [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. It has been found, that the ratio of the stored energy to the plastic work is not constant and depends on deformation level of the tested material.…”
Section: Introductionmentioning
confidence: 99%
“…It has been found, that the ratio of the stored energy to the plastic work is not constant and depends on deformation level of the tested material. Therefore, there was a need to introduce a concept of the energy storage rate as a measure of energy conversion at each instant of plastic deformation process [5,13]. The energy storage rate Z is defined as the plastic work derivative of the stored energy: The entire deformation process, from the initial state to the fracture of the specimen, can be divided into two stages: macroscopically homogeneous deformation and W. Oliferuk (*) : M. Maj : K. Zembrzycki macroscopically heterogeneous one.…”
The presented work is devoted to a new simple method of determination of the energy storage rate (the ratio of the stored energy increment to the plastic work increment) that allows obtaining distribution of this quantity in the area of strain localization. The method is based on the simultaneous measurements of the temperature and displacement distributions on the specimen surface during a tensile deformation. The experimental procedure involves two complementary techniques: i.e. infrared thermography (IRT) and visible light imaging. It has been experimentally shown that during the evolution of plastic strain localization the energy storage rate in some areas of the deformed specimen drops to zero. It can be treated as the plastic instability criterion.
A static-dynamic model is applied to the interpretation of slip localization modes observed in a systematic study of the evolution of dislocation structures in single slip intermediate amplitude fatigue in copper deformed at room temperature. The model assumes that veins do not deform plastically, unless their critically soft interiors are destabilized to produce an embryonic PSB. This assumption is shown to be fully consistent with slip homogeneity. The model predicts that the vein structure remains active during cyclic saturation. This prediction explains the present novel observation that in intermediate amplitude fatigue, after the initial formation of PSBs by ''collapse'' of matrix walls, triggered by long-range internal stresses, there is continued formation of new PSBs by "splitting" of matrix veins. The model shows that the long-range internal stresses in the thin PSB lamellae and in the more extended wall structures produced by this process are about equal. Nevertheless, the model and microscopy suggest convincingly that minimization of dislocation line energy in the dynamic structure between glissile walls and veins controls the condensation mode and the equilibrium wall spacing of PSBs.') DK-4000 Roskilde, Denmark. ' ) Madingley Road, Cambridge CB3 OHE, England.
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