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Online since: December 2012
Authors: Ming Jen Tan, Sylvie Castagne, Jun Liu, Samuel Chao Voon Lim
There are some grains with very low internal grain misorientation (in blue as indicated in Fig. 5(a)) and these grains are likely to be recrystallized grains in the midst of the deformed grains.
(b) (a) Fig. 8 (a) EBSD IPF map at the non-isothermal heating zone and (b) fraction of different grain diameters However, from the internal grain misorientation measurements, as seen from Fig. 9(a), only a few grains located near the larger grains have low internal misorientation, which indicates that they were possibly recrystallized grains.
The other larger equiaxed grains though have larger internal misorientation indicative of strain within the grains.
Dynamic recovery occurred during deformation and produced a large number of low angle grain boundaries within the grains.
These recrystallized grains were identified with having very low internal misorientation unlike the deformed grains.
(b) (a) Fig. 8 (a) EBSD IPF map at the non-isothermal heating zone and (b) fraction of different grain diameters However, from the internal grain misorientation measurements, as seen from Fig. 9(a), only a few grains located near the larger grains have low internal misorientation, which indicates that they were possibly recrystallized grains.
The other larger equiaxed grains though have larger internal misorientation indicative of strain within the grains.
Dynamic recovery occurred during deformation and produced a large number of low angle grain boundaries within the grains.
These recrystallized grains were identified with having very low internal misorientation unlike the deformed grains.
Online since: December 2014
Authors: Quan Zhou, Sen Zhang, Hao Zhang
Macrostructure of the alloy is changed from coarsened grains to complete fine equiaxed grains.
Meanwhile, mechanism of grain refinement was also discussed.
The average grain size was measured by the linear intercept method.
Comparatively, crystalline fining grain can restrain the cleavage fracture, there are many tear ridge in the fracture of sample with AC magnetic field treatment, and the number of brittle batten decreases obviously, which is the typical quasi cleavage fracture, as shown in Fig.9 (b).
Macrostructure of the alloy is changed from coarsened grains to complete fine equiaxed grains.
Meanwhile, mechanism of grain refinement was also discussed.
The average grain size was measured by the linear intercept method.
Comparatively, crystalline fining grain can restrain the cleavage fracture, there are many tear ridge in the fracture of sample with AC magnetic field treatment, and the number of brittle batten decreases obviously, which is the typical quasi cleavage fracture, as shown in Fig.9 (b).
Macrostructure of the alloy is changed from coarsened grains to complete fine equiaxed grains.
Online since: January 2019
Authors: Peng Fei Zhang, Guo Cheng Sun, Bo Gao, Xu Kun Hu, Bin Xu
When cold deformation, using the control deformation degree and the annealing temperature to refine the grain, the grain is finer and the grain boundary is more, and the grain boundary has the effect of obstructing the slip deformation [4].
It could be agree with that the 4 kinds of new zirconium with the same of the original grain size .
Compared with process 1 and process 3, it can be seen that the heat treatment temperature is invariable, the larger the cold-rolled shape variable, the finer the grains, the greater the grain boundary area, the more winding grain boundary, the more unfavorable the crack expansion, the higher the yield strength of the material.
Which showed that the effect of increasing the deformation of cold rolling on the fine grain enhancement was more obvious when the original grain size of the material was the same.
The comparison process 3 and process 4 also found the same rule, the increase in annealing temperature resulted in grain coarsening, grain size increased, the less the grain boundary, the material yield strength decreased.
It could be agree with that the 4 kinds of new zirconium with the same of the original grain size .
Compared with process 1 and process 3, it can be seen that the heat treatment temperature is invariable, the larger the cold-rolled shape variable, the finer the grains, the greater the grain boundary area, the more winding grain boundary, the more unfavorable the crack expansion, the higher the yield strength of the material.
Which showed that the effect of increasing the deformation of cold rolling on the fine grain enhancement was more obvious when the original grain size of the material was the same.
The comparison process 3 and process 4 also found the same rule, the increase in annealing temperature resulted in grain coarsening, grain size increased, the less the grain boundary, the material yield strength decreased.
Online since: December 2016
Authors: Yuichi Tadano, Seiya Hagihara, Takeshi Soeda
, (2)
Where and are the slip/twinning plane normal and slip/twinning direction vectors, respectively, is the shear strain rate, and is the number of slip and twinning systems.
Hereafter, we term these two as grains A and B.
Twin system #5 is activated in most parts of the grain.
Fig. 2 Enlarged views of Fig. 1: (a) grain A and (b) grain B.
Fig. 4 Histories of resolved shear stress in grain A.
Hereafter, we term these two as grains A and B.
Twin system #5 is activated in most parts of the grain.
Fig. 2 Enlarged views of Fig. 1: (a) grain A and (b) grain B.
Fig. 4 Histories of resolved shear stress in grain A.
Online since: June 2007
Authors: Mitsutoshi Kuroda, Kazuyuki Shizawa, Yuichi Tadano, Hirohisa Noguchi
In the model, it is assumed that each material point contains a number of crystal
grains and the properties of a material point ( )• are given by the averaging of all grains;
( ) ( )∑= •=•
M
k
k
M 1
1
(7)
wher M is a number of crystal grain at each material point.
In each case, the results converge almost same response with increasing of number of elements or grains per element.
Fig. 4 Flow stress of FCC material with different numbers of grains per element (extended Taylor model with 8(2x2x2) elements is utilized). extended Taylor model presents stiffer response when the number of grains increases as shown in Fig. 6.
Meanwhile, the results in Fig. 8 show that 0.2% proof stress increases respect to the number of grains per element.
The effects of the number of elements and the number of grains in the extended Taylor model are discussed.
In each case, the results converge almost same response with increasing of number of elements or grains per element.
Fig. 4 Flow stress of FCC material with different numbers of grains per element (extended Taylor model with 8(2x2x2) elements is utilized). extended Taylor model presents stiffer response when the number of grains increases as shown in Fig. 6.
Meanwhile, the results in Fig. 8 show that 0.2% proof stress increases respect to the number of grains per element.
The effects of the number of elements and the number of grains in the extended Taylor model are discussed.
Online since: December 2023
Authors: Rafael Schouwenaars
In presence of grain boundaries (GBs), the grain size effect (GSE) is traditionally described as τGB=τ0+kHPdg-1/2 [11,12], where τ0=τCRSS for an infinitely large grain and kHP the empirical Hall-Petch (HP) parameter.
Simplified calculations with straight dislocation segments permit varying the number of dislocations in the pileup and the GB and the degree of dissociation, for different geometries of slip plane and GB.
Dislocation pileups in small grains.
Dislocation interactions with grain boundaries.
Grain boundaries and interfaces in slip transfer.
Simplified calculations with straight dislocation segments permit varying the number of dislocations in the pileup and the GB and the degree of dissociation, for different geometries of slip plane and GB.
Dislocation pileups in small grains.
Dislocation interactions with grain boundaries.
Grain boundaries and interfaces in slip transfer.
Online since: October 2007
Authors: Hiromi Miura, Taku Sakai, Oleg Sitdikov, Rustam Kaibyshev, I. Mazurina
The average initial
grain size before deformation was about ∼140 µm.
Their number and the boundary misorientations increase with further deformation, finally leading to the development of new fine grains surrounded by HABs at large strains.
The mechanism of gradual increase in the boundary misorientation in the last stage, i.e. 4≤ε≤12, can be associated with increase in the number of lattice dislocations evolved by usual intrinsic slip and the absorption of accommodation dislocation that originates from incompatibility between neighboring grains.
ECAP results in grain refinement at all of the pressing temperatures.
Sakai: Ultrafine grained Materials IV, edited by Y.T.
Their number and the boundary misorientations increase with further deformation, finally leading to the development of new fine grains surrounded by HABs at large strains.
The mechanism of gradual increase in the boundary misorientation in the last stage, i.e. 4≤ε≤12, can be associated with increase in the number of lattice dislocations evolved by usual intrinsic slip and the absorption of accommodation dislocation that originates from incompatibility between neighboring grains.
ECAP results in grain refinement at all of the pressing temperatures.
Sakai: Ultrafine grained Materials IV, edited by Y.T.
Online since: December 2007
Authors: Jiří Man, Maxime Sauzay
They contain the chosen well-oriented grains without PSM (19, 136, 252 and 69) and their
neighbour grains; b) three effective Schmid factor values obtained for each of the four selected
"anomalous" grains.
Three microstructure models are compared: i) "classical Schmid factor approach": the stress tensor is homogeneous in the polycrystal ii) "grain-matrix model": only the selected 'anomalous' grain obeys crystalline elasticity whereas the neighbour grains and the matrix obey isotropic elasticity (no influence of the orientations of the neighbour grains) iii) "grain-neighbour grains-matrix model": not only the selected 'anomalous' grain but also its neighbour grains obey crystalline elasticity whereas the matrix obeys isotropic elasticity. 0 0,05 0,1 0,15 0,2 0,25 0,3 0,35 0,4 0,45 0,5 grain 136 grain 252 grain 19 grain 69 equiaxed grain effective Schmid factor reference Schmid factor grain-matrix neighbour grains α [°] prim. slip µp Q geometry Grain 19 34 0.47 0.86 Small grain Grain 136 39 0.5 0.97 Small grain Grain 252 15 0.45 0.82 Small grain Grain 69 29 0.49 0.87 Thin twin loading axis FE Computations are carried out for each of the four
"Grain-neighbour grains-matrix model" iii).
They are close to the decrease computed for an equiaxed well-oriented grain surrounded by grains of random orientations and selecting the minimum effective factor among the computed values for a large number of sets of random orientations [6].
The orientations of the neighbouring grains are not taken into account ("grain-matrix model" ii)).
Three microstructure models are compared: i) "classical Schmid factor approach": the stress tensor is homogeneous in the polycrystal ii) "grain-matrix model": only the selected 'anomalous' grain obeys crystalline elasticity whereas the neighbour grains and the matrix obey isotropic elasticity (no influence of the orientations of the neighbour grains) iii) "grain-neighbour grains-matrix model": not only the selected 'anomalous' grain but also its neighbour grains obey crystalline elasticity whereas the matrix obeys isotropic elasticity. 0 0,05 0,1 0,15 0,2 0,25 0,3 0,35 0,4 0,45 0,5 grain 136 grain 252 grain 19 grain 69 equiaxed grain effective Schmid factor reference Schmid factor grain-matrix neighbour grains α [°] prim. slip µp Q geometry Grain 19 34 0.47 0.86 Small grain Grain 136 39 0.5 0.97 Small grain Grain 252 15 0.45 0.82 Small grain Grain 69 29 0.49 0.87 Thin twin loading axis FE Computations are carried out for each of the four
"Grain-neighbour grains-matrix model" iii).
They are close to the decrease computed for an equiaxed well-oriented grain surrounded by grains of random orientations and selecting the minimum effective factor among the computed values for a large number of sets of random orientations [6].
The orientations of the neighbouring grains are not taken into account ("grain-matrix model" ii)).
Online since: February 2010
Authors: Henryk Paul, Thierry Baudin, A. Tarasek, M. Miszczyk
The experimentally measured values of stress (maximal force in particular pass divided by cross
section) and microhardness are presented in Fig. 2a, as a function of the ECAP pass number.
For particular pass number two factors influence the microstructure evolution of the AA3104 alloy.
As for recrystallized grains (Fig. 7c), some preferences in selection of recrystallized grains orientation were clearly visible.
In the microstructure resulting from the ECAP processing the average size of the microstructure elements slightly decreases with the pass number.
It is well documented that for new, well-developed grains their diameter reaches 3-15 µm, independently of the applied number of passes.
For particular pass number two factors influence the microstructure evolution of the AA3104 alloy.
As for recrystallized grains (Fig. 7c), some preferences in selection of recrystallized grains orientation were clearly visible.
In the microstructure resulting from the ECAP processing the average size of the microstructure elements slightly decreases with the pass number.
It is well documented that for new, well-developed grains their diameter reaches 3-15 µm, independently of the applied number of passes.
Online since: January 2012
Authors: Thierry Grosdidier, Hafid Aourag, Jean Marc Raulot, Sara Chentouf
We found that, with increasing temperature, Zr impurities become more stable and prefer to segregate at the interface of ∑5 (310)[001] grain boundary.
Several preliminarily calculations were made in order to estimate the required number of layers.
Following these energy convergence calculations, it was estimated that 20 layers parallel to the grain boundary plane were required.
Further information about the modeling of the ∑5 grain boundary can be found in [12].
The calculated impurity formation energies for substitutions at the grain boundary interface ∑5 (310) [001] are given in Fig. 3.
Several preliminarily calculations were made in order to estimate the required number of layers.
Following these energy convergence calculations, it was estimated that 20 layers parallel to the grain boundary plane were required.
Further information about the modeling of the ∑5 grain boundary can be found in [12].
The calculated impurity formation energies for substitutions at the grain boundary interface ∑5 (310) [001] are given in Fig. 3.