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Showing papers on "Grain size published in 1998"


Journal ArticleDOI
01 Feb 1998-Nature
TL;DR: In this paper, the deformation of nanocrystalline copper has been studied and it is shown that the hardness and yield stress of the material typically increase with decreasing grain size, a phenomenon known as the reverse Hall-Petch effect.
Abstract: Nanocrystalline solids, in which the grain size is in the nanometre range, often have technologically interesting properties such as increased hardness and ductility. Nanocrystalline metals can be produced in several ways, among the most common of which are high-pressure compaction of nanometre-sized clusters and high-energy ball-milling1,2,3,4. The result is a polycrystalline metal with the grains randomly orientated. The hardness and yield stress ofthe material typically increase with decreasing grain size, a phenomenon known as the Hall–Petch effect5,6. Here we present computer simulations of the deformation of nanocrystalline copper, which show a softening with grain size (a reverse Hall–Petch effect3,7) for the smallest sizes. Most of the plastic deformation is due to a large number of small ‘sliding’ events of atomic planes at the grain boundaries, with only a minor part being caused by dislocation activity in the grains; the softening that we see at small grain sizes is therefore due to the larger fraction of atoms at grain boundaries. This softening will ultimately impose a limit on how strong nanocrystalline metals may become.

1,550 citations


Journal ArticleDOI
Eduard Arzt1
TL;DR: In this article, the effects of size on predominantly mechanical properties of materials are reviewed at a first-order level, and important aspects can be understood from the point of view of the interaction of a characteristic length (which may be as diverse as the dislocation radius of curvature at a given stress or the magnetic exchange length) with a size parameter (grain or particle size, or film thickness).

1,068 citations


Journal ArticleDOI
TL;DR: In this paper, structural and magnetic properties of fine particles of magnetite are investigated with respect to the application for hyperthermia, and the maximum attainable heating effect is discussed in terms of common theoretical models.
Abstract: Structural and magnetic properties of fine particles of magnetite are investigated with respect to the application for hyperthermia. Magnetic hysteresis losses are measured in dependence on the field amplitude for selected commercial powders and are discussed in terms of grain size and structure of the particles. For ferromagnetic powders as well as for ferrofluids, results of heating experiments within organic gels in a magnetic high frequency field are reported. The heating effect depends strongly on the magnetic properties of the magnetite particles which may vary appreciably for different samples in dependence on the particle size and microstructure. In particular, the transition from ferromagnetic to superparamagnetic behavior causes changes of the loss mechanism, and accordingly, of the heating effect. The maximum attainable heating effect is discussed in terms of common theoretical models. Rise of temperature at the surface of a small heated sample as well as in its immediate neighborhood in the surrounding medium is measured in dependence on time and is compared with solutions of the corresponding heat conductivity problem. Conclusions with respect to clinical applications are given.

647 citations


Journal ArticleDOI
TL;DR: In this article, the deformation microstructure is subdivided by dislocation boundaries having different characteristics depending on the orientation of the deformed grain, and the majority of the dislocations in the boundaries originate from active slip systems predicted by a Schmid factor analysis.

454 citations


Journal ArticleDOI
TL;DR: In this paper, a model for the yield stress of ultra-fine grained materials based upon Coble creep was proposed, where a grain size distribution was incorporated into the analysis to account for a distribution of grain sizes occurring in most specimens.

428 citations


Journal ArticleDOI
05 Feb 1998-Nature
TL;DR: In this article, it was shown that the strength of polycrystalline materials with grain sizes in the micrometre range increases with decreasing grain size and that dislocations pile up at the grain boundaries and the effect of dislocation blocking increases.
Abstract: In polycrystalline materials with grain sizes in the micrometre range, strength increases with decreasing grain size This is because dislocations pile up at the grain boundaries and, as the grains become smaller, the effect of dislocation blocking increases, thereby strengthening the material But with grains in the nanometre range, the opposite behaviour is found Why? Computer simulations show that the reverse effect arises primarily from sliding motions at grain boundaries

417 citations


Journal ArticleDOI
TL;DR: In this article, the average grain sizes and the grain size distribution are estimated by X-ray diffraction profile analysis and compared with the same quantities measured directly by transmission electron microscopy (TEM).
Abstract: It is well known that the Fourier analysis of X-ray diffraction peak profiles (as implemented by Warren and Averbach) can accurately determine the areaweighted average grain size of a fine-grained sample. Less well known is the fact that this method simultaneously yields a volume-weighted average grain size. Under certain circumstances, knowledge of these two weighted average grain sizes is sufficient to permit reliable estimation of the grain-size distribution, even when the distribution cannot be calculated directly from the Fourier coefficients, as is usually the case. We demonstrate this for a nanocrystalline Pd sample prepared by inert-gas condensation; average grain sizes and the grain-size distribution are estimated by X-ray diffraction profile analysis and compared with the same quantities measured directly by transmission electron microscopy (TEM). Very good agreement between the resulting average grain sizes is achieved only after compensating for the fact that diffraction profile analy...

403 citations


Journal ArticleDOI
TL;DR: In this paper, the influence of the channel angle Φ, defined as the angle of intersection of the two channels within the die, on the subsequent microstructure attained by pressing was investigated.

400 citations


Journal ArticleDOI
TL;DR: In this article, the particle size and the dislocation structure in inert gas condensed nanocrystalline copper were determined by high-resolution X-ray diffraction profile analysis, and the root-mean-squared strains were explained by the presence of dislocations.

375 citations


Journal ArticleDOI
TL;DR: In this article, the hardness of the multilayers for layer thicknesses (h) > 50 nm is explained by Hall-Petch model with grain boundaries and interfaces as barriers.

348 citations


Journal ArticleDOI
TL;DR: In this paper, the effect of interfaces on the value of dielectric constant (K′) calculated from capacitance and geometry data for sub-micron barium titanate (BaTiO3) ceramics prepared with decreasing grain size and grain volumes was investigated.
Abstract: We report the effect of interfaces (and thus internal surface area effects) on the value of dielectric constant (K′) calculated from capacitance and geometry data for sub-micron barium titanate (BaTiO3) ceramics prepared with decreasing grain size (and grain volumes). A series model is proposed to explain the decreasing values of apparent K′ obtained for grain sizes below 0.5 μm. A distinction is made between the true dielectric constant (K′) and the apparent dielectric constant (K′) calculated from experimental data. The progressive suppression in K′ is explained in terms of ferroelectric grains of constant dielectric constant (K′1) separated by a lower-K 2 boundary region (i.e., grain boundary) of constant thickness (d 2). The problem is one of an increasing interfacial surface area to grain volume ratio in fine-grain dielectrics. We begin by reporting original dielectric data for high pressure-densified ultrafine-grain BaTiO3 ceramics. Chemically prepared BaTiO3 powder was consolidated at high...

Journal ArticleDOI
TL;DR: In this article, a pure aluminium polycrystal having an average grain size of 300μm has been strained in tension at room temperature and the flow stress has been determined at four different strains (0.05,0.14, 0.22 and 0.34).

Journal ArticleDOI
TL;DR: In this paper, the microwave dielectric properties of ferroelectric barium titanate were measured as a function of grain and particle size, and it was shown that the relaxation phenomenon appears to be intimately linked to the domain state of the Ferroelectric.
Abstract: The use of ferroelectric ceramics and thin films in microwave devices requires that they possess frequency-stable, low-loss dielectric properties. At microwave frequencies, ferroelectric polycrystalline ceramic materials typically exhibit a large dielectric relaxation, characterized by a decrease in the relative permittivity (er) and a peak in the dielectric loss (tan δ). Mechanisms attributed to the relaxation phenomenon include piezoelectric resonance of grains and domains, inertia to domain wall movement, and the emission of gigahertz shear waves from ferroelastic domain walls. As a result, the relaxation phenomenon appears to be intimately linked to the domain state of the ferroelectric. The domain state of a ferroelectric is, in part, dependent upon its microstructure. In this study, the microwave dielectric properties of ferroelectric barium titanate were measured as a function of grain and particle size. Polycrystalline ceramic ferroelectric BaTiO3 (having average grain sizes of 14.4, 2.14, and 0.2...

Journal ArticleDOI
TL;DR: The relationship between channel morphology and the grain size of sediment in the channel bed is an important but poorly known aspect of alluvial rivers as mentioned in this paper, and an analysis of an equation for total sediment flux in the limits of suspension, bedload, and mixed-modes of transport indicates distinct, steadystate regimes of channel morphology.
Abstract: The general relationship between channel morphology and the grain size of sediment in the channel bed is an important but poorly known aspect of alluvial rivers. An analysis of an equation for total sediment flux in the limits of suspension‐, bedload‐, and mixed‐modes of transport indicates distinct, steady‐state regimes of channel morphology. Such regimes are readily seen in published data for modern alluvial rivers by way of a conventional Shields plot or a plot of channel slope as a function of relative grain size d/h and the ratio ws/u, where d and ws are, respectively, mean diameter and fall speed of bed sediments, and h and u, are, respectively, mean depth and friction velocity of the flow. With slope and mode of transport in an alluvial river constrained by grain size and channel depth alone, estimates of discharge and sediment flux follow directly. Introduction of the sediment flux relationship into conventional diffusion models for the evolution of an alluvial system provides nominal estimates of...

Journal ArticleDOI
TL;DR: In this article, the authors examined the thermal stresses in thin Cu films on silicon substrates as a function of film thickness and presence of a silicon nitride passivation layer and found that at room temperature, tensile stresses increased with decreasing film thickness in qualitative agreement with a dislocation constraint model.
Abstract: Thermal stresses in thin Cu films on silicon substrates were examined as a function of film thickness and presence of a silicon nitride passivation layer. At room temperature, tensile stresses increased with decreasing film thickness in qualitative agreement with a dislocation constraint model. However, in order to predict the stress levels, grain-size strengthening, which is shown to follow a Hall–Petch relation, must be superimposed. An alternative explanation is strain-hardening due to the increase in dislocation density, which was measured by x-ray diffraction. At 600 °C, the passivation increases the stress by an order of magnitude; this leads to a substantially different shape of the stress-temperature curves, which now resemble those of aluminum with only a native oxide layer. The effect of passivation is shown to be very sensitive to the deposition and test conditions.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the solidification behavior of dilute Sc containing Al alloys and found that Sc additions greater than the eutectic composition (0.55 wt%) produced a remarkable refinement in the grain size of aluminium castings, due to the formation of the primary Al3Sc intermetallic phase during solidification.

Journal ArticleDOI
TL;DR: In this article, the equal-channel angular (ECA) pressing of Al-1 pct Mg and Al-3 pct mg solid-solution alloys with pure Al was compared.
Abstract: Experiments were undertaken to compare the equal-channel angular (ECA) pressing of Al-1 pct Mg and Al-3 pct Mg solid-solution alloys with pure Al. The results reveal both similarities and differences between these three materials. Bands of subgrains are formed in all three materials in a single passage through the die, and these subgrains subsequently evolve, on further pressings through the die, into an array of grains with high-angle boundaries. However, the addition of magnesium to an aluminum matrix decreases the rate of recovery and this leads, with an increasing Mg content, both to an increase in the number of pressings required to establish a homogeneous microstructure and to a decrease in the ultimate equiaxed equilibrium grain size. It is concluded that alloys exhibiting low rates of recovery should be especially attractive candidate materials for establishing ultrafine structures through grain refinement using the ECA pressing technique.

Journal ArticleDOI
TL;DR: In this paper, the thermal diffusivity and conductivity of nanocrystalline (gain size < 100 nm) zirconia has not yet been determined and the measured values are compared with the thermal conductivities of commercially available air plasma sprayed (APS) and electron beam physical vapor deposited (EB-PVD) coatings.

Journal ArticleDOI
TL;DR: In this article, the influence of the physical and chemical deposition parameters on the nanostructure of the deposits and demonstrate that the grain size can be tuned to values between 13 and 93 nm, with rather narrow grain size distribution.
Abstract: Pulsed electrodeposition is a simple, yet versatile method for the production of nanostructured metals. For n-nickel we determine the influence of the physical and chemical deposition parameters on the nanostructure of the deposits and demonstrate that the grain size can be tuned to values between 13 and 93 nm, with rather narrow grain size distribution. The thermal stability of our n-nickel as studied by x-ray diffraction and differential thermal analysis exhibits no detectable grain growth up to temperatures of about 380 K and an initial $$\sqrt t $$ behavior at 503 K followed by a regime of anomalous grain growth. For nanocrystalline Ni1-x Cux (Monel-metal™) we demonstrate that alloy formation occurs at room temperature and that both chemical composition and grain size can be controlled by the pulse parameters and by appropriate organic additives.

Journal ArticleDOI
TL;DR: In this article, the influence of grain boundary conductivity and microstructure on the electrical properties of BaCe0.85Gd0.15O3-δ have been examined.
Abstract: The influence of grain boundary conductivity and microstructure on the electrical properties of BaCe0.85Gd0.15O3–δ have been examined. Grain sizes were varied by sintering at various temperatures. Impedance data were analyzed using the brick layer model, and some new consequences of this model are presented. The specific grain boundary conductivity exhibits an activation energy of ~0.7 eV, and for similar processing routes, is independent of grain size. An isotope effect was observed, indicating that protons (or deuterons) are the mobile species. TEM investigations showed the intergranular regions to be free of any glassy phase that could account for the differences in bulk and grain boundary properties. Single-crystal fibers, grown by a modified float zone process, were notably barium deficient, and exhibited a low conductivity, comparable to that of polycrystalline Ba0.96Ce0.85Gd0.15O3–δ.

Journal ArticleDOI
TL;DR: In this paper, the theory of heat conduction by lattice waves is reviewed in the equipartition limit (above room temperature), and the conductivity is composed of contributions from a spectrum of waves, determined by the frequency dependent attenuation length.
Abstract: In thermal barrier coatings and other ceramic oxides, heat is conducted by lattice waves, and also by a radiative component which becomes significant at high temperatures. The theory of heat conduction by lattice waves is reviewed in the equipartition limit (above room temperature). The conductivity is composed of contributions from a spectrum of waves, determined by the frequency dependent attenuation length. Interaction between lattice waves (intrinsic processes), scattering by atomic scale point defects and scattering by extended imperfections such as grain boundaries, each limit the attenuation length in different parts of the spectrum. Intrinsic processes yield a spectral conductivity which is independent of frequency. Point defects reduce the contribution of the high frequency spectrum, grain boundaries and other extended defects that of the low frequencies. These reductions are usually independent of each other. Estimates will be given for zirconia containing 7wt% Y 2 O 3 , and for yttrium aluminum garnet. They will be compared to measurements. The effects of grain size, cracks and porosity will be discussed both for the lattice and the radiative components. While the lattice component of the thermal conductivity is reduced substantially by decreasing the grain size to nanometers, the radiative component requires pores or other inclusions of micrometer scale.

Journal ArticleDOI
TL;DR: In this paper, the final grain size depends on the kinetics of both α aluminium, TiB2, and Al3 Ti, and is determined by adding Al-Ti-B master alloys.
Abstract: Grain refinement in commercial aluminium alloys can be achieved by addition of Al–Ti–B master alloys, containing α aluminium, TiB2, and Al3 Ti. The final grain size depends on the kinetics of both ...

Journal ArticleDOI
TL;DR: In this article, a hypothesis is advanced that dynamic recrystallization of Earth materials undergoing solid state flow may represent a balance between grain size reduction and grain growth processes occurring directly in the boundary between the dislocation and diffusion creep fields.
Abstract: A hypothesis is advanced that dynamic recrystallization of Earth materials undergoing solid state flow may represent a balance between grain size reduction and grain growth processes occurring directly in the boundary between the dislocation and diffusion creep fields. Accordingly, the recrystallized grain size (D) and flow stress (σ) at steady state will be related by the equation delineating the field boundary, which in general is temperature dependent. Creep experiments on a metallic rock analogue, Magnox, yielded D=10 1.12 exp[29.3/RT]σ 1.2:3 and demonstrated that D (μm) decreases with increasing σ (MPa) and increasing temperature (T) in a manner which is in agreement with the field boundary hypothesis. If the model applies to rocks, the widely accepted idea that dynamic recrystallization can lead to major rheological weakening in the Earth may not hold. Moreover, empirical D-σ relations, used in paleo-piezometry, will need to be modified to account for temperature effects.

Journal ArticleDOI
TL;DR: In this article, a simple computer model is developed to investigate the structural consequences of grain rotation, which include reduction in the total grain boundary energy in a specimen, and changes in the populations of the various CSL-related boundaries.

Journal ArticleDOI
TL;DR: In this paper, the authors developed a technique to improve spectral mixture analysis of snow-covered area in alpine regions through the use of multiple snow endmembers and performed numerical simulations to demonstrate the sensitivity of mixture analysis to grain size for a range of sizes and fractions.

Journal ArticleDOI
TL;DR: In this paper, numerical simulations of evolving surface roughening in sheet have been preformed to determine the influence of microstructure and mechanical properties on strain and grain size.

Journal ArticleDOI
TL;DR: In this article, the effects of coating grain size and Al content on oxidation behavior at 1000 degrees C have been studied, and it was found that the oxidation products were determined by both grain sizes and Al contents.

Journal ArticleDOI
TL;DR: In this article, the Hall-Petch equation was used to model the behavior of fine-grained Fe-10Cu powders with grain diameters between 45 nm and 1.7 µm.
Abstract: Bulk, fully dense materials were prepared from Fe-10Cu with grain diameters between 45 nm and 1.7 µm. The materials were prepared by ball milling of powders in a glove box, followed by hot isostatic pressing (hipping) or powder forging. Larger grain sizes were obtained by thermal treatment of the consolidated powders. The bulk materials were relatively clean, with oxygen levels below 1500 wpm and other contaminants less than 0.1 at. pct. The mechanical behavior of these materials was unique. At temperatures from 77 to 470 K, the first and only mechanism of plastic deformation was intense shear banding, which was accompanied by a perfectly plastic stress-strain response (absence of strain hardening). There was a large tension-compression asymmetry in the strength, and the shear bands did not occur on the plane of maximum shear stress or the plane of zero extension. This behavior, while unusual for metals, has been observed in amorphous polymers and metallic glasses. On the other hand, the fine-grained Fe-10Cu materials behaved like coarse-grained iron in some respects, particularly by obeying the Hall-Petch equation with constants reasonably close to those of pure iron and by exhibiting low-temperature mechanical behavior which was very similar to that of steels. Transmission electron microscopy (TEM) studies found highly elongated grains within shear bands, indicating that shear banding occurred by a dislocation-based mechanism, at least at grain sizes above 100 nm. Similarities and differences between the fine-grained Fe-10Cu and metals, polymers, metallic glasses, radiation-damaged metals, and quench-damaged metals are discussed.

Journal ArticleDOI
TL;DR: In this paper, the Hall-Petch relationship with high constants in fully-lamellar material is explained as a combined function of grain-size and deformation-anisotropy.

Journal ArticleDOI
TL;DR: Bulknanocrystalline α-Al2O3samples with a relative density >98% and a grain size were used in this article, where they were found to have a small grain size.