Article

Ultra-high heating rate densification of nanocrystalline magnesia at high pressure and investigation on densification mechanisms

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Abstract

The pressure-assisted densification method based on combustion reaction heating was applied to prepare dense nanocrystalline ceramics. The densification process of magnesia compact with a particle size of 50 nm was investigated, under the pressure range of 0–170 MPa, and the temperature range of 1620–1880 K with ultra-high heating rate (above 1600 K/min). The pressure was found to have an effect on enhancing densification while suppressing grain growth, and the higher sintering temperature lead to the larger grain size and lower density of the compact. Pure magnesia nanocrystalline ceramics with a relative density of 99.1% was obtained at 1620 K and 170 MPa, and the concurrent grain growth was almost completely restrained. Furthermore, the investigation on the pressure-dependent densification mechanisms including plastic flow, diffusion and power-law creep was also carried out. The result indicated the rate-controlling mechanism was the plastic flow accommodated by grain-boundary diffusion creep.

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... The result is the separation between densification and grain growth processes. Specifically, Joule heating, generates high heating rates that makes all processes to occur in regime of fast kinetics with too short times for the relaxation of the grain boundaries toward an equilibrium structure [2], a fact that inhibits the particle coarsening at early stages of the process [3]. A further grain growth, which might occur at the final stages, is limited by the short dwelling time [4]. ...
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Deformation mechanism diagrams show the fields of stress and temperature ; in which a given mechanism is dominant and the strain rate that it yields. ; Detailed maps are presented for five pure fcc metals (Ni, Cu, Ag, Al, Pb), six ; pure bcc metals (V, Cr, Nb, Mo, Ta, W) and a recrystallized Ni-1 vol% ThO ; alloy, which are based on direct comparison to available experimental data. The ; various deformation mechanisms are discussed, with refinements of their rate ; equations. Various applications of the diagrams are illustrated. They provide a ; convenient means for the normalized comparison of the behavior of different ; metals. They also demonstrate the effects of various changes in materials in a ; manner useful for qualitative engineering design. (auth)
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Recently densification maps for spark plasma sintering (SPS) of nanocrystalline MgO were constructed using a HIP model and constant particle size during the process. Here, the effects of particle coarsening during the early stage and grain growth during the later stage of densification were integrated into the model. Densification diagrams were calculated between 500°C and 900°C, pressures range 30–500MPa and initial particle size 10–40nm. Plastic yield and diffusion process dominated during the densification in SPS. The power law creep exhibited negligible densification rates. Threshold pressure exists for full densification of nanocrystalline compact with minimal grain growth. Particle coarsening and grain growth resulted in densification patterns that follow the experimental SPS results. The calculated densities were lower than the experimental results and fall short in describing the experimental densification rates of nanocrystalline MgO. Therefore additional densification mechanisms with faster kinetics should be incorporated.
Article
Diffusional flow of a polycrystal is classically treated as a continuum diffusion problem: its rate is calculated by solving for the diffusional flux of matter through or around each grain in a polycrystal, driven by the stress acting on it. Many, but not all, experimental observations are adequately explained by this model. Progress in understanding the discrepancies can be made by considering the microscopic processes involved in diffusional flow: the detailed nature and number, of sinks and sources in the grain boundaries; and their mobility. This paper treats these problems and derives expressions for the rate of diffusional flow when the density of sinks and sources becomes small and when their mobility is limited by impurities, solutes, or precipitates. The results become identical with those of the classical treatment in the appropriate limits.
Article
Extensive high temperature creep data are available for a superplastic yttria-stabilized tetragonal zirconia containing 3mol% of Y2O3 (termed 3Y-TZP). These data are analyzed and it is shown that, contrary to superplastic metals, intragranular slip cannot occur to accommodate grain boundary sliding at the temperatures and stresses examined experimentally. It is proposed instead that flow occurs by Coble diffusion creep controlled by movement of the Zr4+ ions and, because of the small grain sizes in the 3Y-TZP materials, the creep rates are reduced through interface-controlled diffusion creep. A detailed analysis demonstrates this approach predicts the experimental creep rates to within one order of magnitude over the range of grain sizes and temperatures examined experimentally and it accounts also for the reported values for the stress exponent and the exponent of the inverse grain size at high and low stress levels.
Article
Densification of pure nanocrystalline MgO powder with 10nm particle size by hot-pressing was investigated in the temperature range 700–800°C, applied pressure range 100–200MPa, and for durations of up to 240min. It was shown that significant densification under the pressure begins above 440°C. Densities higher than 99.5% with grain size of 73nm were achieved at 790°C and 150MPa for a 30min duration. Remarkable densification from 90 to 99.5% was observed by temperature change from 700 to 790°C, for which the grain size was doubled only. The final grain size decreased with increasing the applied pressure. Higher shrinkage rates and cumulative shrinkages were recorded by the application of pressure at 550°C rather than from room temperature. The temperature at which the pressure was applied is crucial in determining the maximum shrinkage rate in the nanocrystalline compacts. This effect was related to the morphological changes of the particles caused by plastic deformation at lower temperatures. Analysis of the densification rate and its comparison to the literature data was in agreement with Coble creep, where self-diffusion of Mg2+ cations along the grain boundaries acts as a main densification mechanism.
Article
Polycrystalline matter can deform to large strains by grain-boundary sliding with diffusional accommodation. A new mechanism for this sort of deformation is described and modelled. It differs fundamentally from Nabarro-Herring and Coble creep in a topological sense: grains switch their neighbors and do not elongate significantly. A constitutive equation describing the mechanism is derived from the model. The strain-rate may be diffusion controlled, in which case the constitutive equation resembles the Nabarro-Herring-Coble equation but predicts strain-rates which are roughly an order of magnitude faster. Or it may be controlled by an interface reaction-roughly speaking, by the restricted ability of a boundary to act as a sink or source for point defects, or by its restricted ability to slide. The flow behavior of superplastic alloys can be explained as the superposition of this mechanism and ordinary power-law creep ("dislocation creep"). The combined mechanisms appear to be capable of explaining not only the observed relation between strain-rate and stress, but most of the microstructural and topological features of superplastic flow as well.
Article
A hydrothermally processed bulky powder composed of loosely aggregated nano-sized rods was consolidated by spark plasma sintering. The use of a high pressure cell allows the application of pressure up to 500MPa. It was found that applying of high pressure is beneficial for widening up the kinetic window for attaining dense HAp nanoceramics. The high transparency of HAp nanoceramics obtained in this study is ascribed to the high density and homogeneous nano-grained structure achieved besides the unique intrinsic optical properties of the HAp crystal itself, i.e. its low refractive index and very small birefringence. Achieving full densification at the minimized sintering temperature allows for the first time the preparation of transparent HAp nanoceramics with stoichiometric composition, i.e. avoiding the loss of structural water that commonly takes place during the conventional ways of sintering.
Article
Densification maps for spark plasma sintering (SPS) of nanocrystalline MgO powders were constructed using hot-isostatic pressing (HIP) model. Effects of the grain size, applied pressure, vacuum level, SPS temperature, and duration on densification were determined. Plastic flow and diffusion were the dominating mechanisms at the first and the final stages of densification, respectively, whereas power-law creep did not contribute to densification. Most impressive was the effect of the grain size on the SPS duration needed for full densification. At 800 °C and 150 MPa, the 20 nm particle size powder compact may be fully densified within 1 min. Significant densification is expected by the plastic yield if a threshold pressure is applied. Small temperature decrease of 50 °C may increase the densification duration from tens of seconds to tens of minutes. Relative densities as high as 75% may be reached within 1 min, irrespective of the initial particle size. However, threshold particle size exists (i.e. 50 nm at 800 °C and 100 MPa) for full densification at workable SPS durations. The densification maps highlight the presence of a temperature window between 750 °C and 850 °C within which fast densification of nanocrystalline MgO may be achieved by SPS. Reasonable agreement between the calculated and the experimental SPS results confirms the validity of the HIP model for description of the SPS process.
Article
We investigated superfast densification of nanocrystalline MgO powders by spark plasma sintering (SPS) between 700 °C and 825 °C under applied pressures of 100and 150 MPa. Fully-dense transparent nanocrystalline MgO with a 52-nm average grain size was fabricated at 800 °C and 150 MPa for 5 min. In-line transmissionsof 40% and 60% were measured compared to MgO single crystal, for the yellowand red wavelengths, respectively. Densification occurs by particles sliding over each other; the nanometric grain size and pores lead to the optical transparency. The light brownish color of the nanocrystalline MgO is due to the oxygen vacancy color centers, originating from the reducing atmosphere of the SPS process.
Article
A novel method for producing full-dense nano-grained alumina was reported. The heat generated by the combustion reaction (or self-propagating high-temperature synthesis (SHS)) was applied to act as a heating source. An alumina compact was loaded inside the combustion reactants. After reaction, the temperature of the alumina compact was increased at a heating rate of 1600°C/min. A large mechanical pressure was applied, when the temperature reached the maximum. Two kinds of α-Al2O3 powders (200 and 600 nm) were used as the raw materials. The rapid densification process was performed within 2 min. Microstructure analysis indicated that the grains had no significant growth.
Article
It was found that plastic deformation takes place in periclase above 1100°C., in rutile above 600°C., and in sapphire above 900°C. The mechanism is slip; in sapphire (0001) is the slip plane and [1120] is the slip directiog. All creep curves for sapphire in tension show the same qualitative features. Each consists of three stages: a stage of increasing creep rate (sometimes called an incubation period), a stage of large but decreasing creep rate (sometimes called first-stage creep), and a stage of small and nearly constant creep rate (sometimes called second-stage creep). The so-called third-stage creep, characteristic of metal behavior, has not been noted. Plastic deformation increases the electrical resistivity of sapphire at constant temperature.
Article
This report introduces the idea of deformations-mechanism maps: maps which display the fields of stress and temperature in which a particular mechanism of plastic flow is dominant. Most materials have the capacity to deform by several alternative and independent mechanisms: dislocation glide, diffusional flow and dislocation creep are examples. Each appears on the map as a field. A point on a map then identifies the dominant mechanism and indicates the resulting strain-rate. Three applications of the maps are discussed. First, they permit a study of the effect of crystal structure and atomic bonding on plastic flow. Second, they help in the design of experiments to study a given flow mechanism and in locating, identifying and characterizing missing mechanisms. And, third, they are useful in a qualitative way for choosing a material for engineering applications, for predicting the mechanism by which it deforms and hence in selecting, or predicting the effects, of strengthening mechanisms.
Article
Crack-tip bridging by particles is considered to be one of the primary strengthening mechanisms of ceramic nanocomposites. Small, brittle particulate inclusions have been shown to cause crack-tip bridging at short distances behind the crack tip. This mechanism leads to modest toughness but a very steep R-curve, and it is the latter that produces the very high fracture strength of the ceramic nanocomposite. Localized high residual stress around the particles (particularly in the case of silicon carbide-alumina material) causes the strengthening mechanism to operate effectively, even at a small volume fraction of 5%. The present study predicts the magnitude of the toughness increase and the extent of R-curve behavior for the nanocomposite.
Article
Isothermal and constant-grain-size sintering have been carried out to full density in Y2O3 with and without dopants, at as low as 40% of the homologous temperature. The normalized densification rate follows Herring's scaling law with a universal geometric factor that depends only on density. The frozen grain structure, however, prevents pore relocation commonly assumed in the conventional sintering models, which fail to describe our data. Suppression of grain growth but not densification is consistent with a grain boundary network pinned by triple-point junctions, which have a higher activation energy for migration than grain boundaries. Long transients in sintering and grain growth have provided further evidence of relaxation and threshold processes at the grain boundary/triple point.
Article
The densification rate and grain growth rate of pure MgO powder compacts are measured between 1450 and 1650 C in air. Densification rate in a semilog plot appears to be linear up to about 94% of the theoretical, followed by marked nonlinearity. The time dependence of grain growth is 1/2 at the beginning and then decreases considerably with further sintering. Application of lattice diffusion model to the densification and grain growth data gives calculated diffusion coefficients in fair agreement with the directly measured diffusion coefficients for magnesium; they are also in fair agreement with the literature value of the diffusion coefficients calculated from various other kinetic processes in MgO.
Article
In several recent experiments on the Zn-22% Al eutectoid and the Pb-62% Sn eutectic, a sigmoidal relationship between stress and strain rate is noted and the mechanical behaviour has been divided into three regions: low-stress region (region I), intermediatestress region (the superplastic region or region II), and high-stress region (region III). In region II, the stress exponent,n, is 2 and the apparent activation energy,Q, is close to grain-boundary diffusion,Q gb, but in both regions I and III the stress exponent and the activation energy increase (n > 2 andQ >Q gb). Analysis of the experimental data of the two superplastic alloys suggests that the transition in behaviour between region II and region I may not necessarily reflect a change in deformation process but can arise from the presence of a threshold stress which decreases strongly with increasing temperature. Based on consideration of various possible threshold stress processes during superplastic flow, it seems most likely that a threshold stress which depends strongly on temperature may result from impurity atom segregation at boundaries and their interaction with boundary dislocations.
Article
The creep rate (e˙) predicted by the boundary diffusion (D<sub>b</sub>) model is e˙≃150σD<sub>b</sub>WΩ/(GS)<sup>3</sup>kT , where σ is the stress, W is the boundary width, (GS) is the average grain size, and Ω is vacancy volume. The stress dependence is the same as the lattice diffusion model, given by C. Herring, while the grain size dependence and the numerical constant are greater for boundary diffusion. Discussion of the mechanism of creep in polycrystalline alumina is based on the differences between the lattice and boundary diffusion models.
Article
Models for initial‐, intermediate‐, and final‐stage densification under pressure have been developed, which explicitly include both the surface energy and applied pressure as driving forces. For the initial stage, the time dependences and size effects given by the integrated equations are identical to those reported earlier for surface energy (alone) as the driving force. The only modification is that the surface energy (γ) is expanded into (γ+P a R/π), where P a is the applied pressure and R is the particle radius. For the intermediate stage of the process, the Nabarro‐Herring and Coble creep models may be adapted to give approximate (∼4×) densification rates for lattice and boundary diffusion models, respectively. In these cases the complex driving force is written as: (P a /D+γk), where D is the relative density, and k is the pore surface curvature. At the final stage of the process those models are invalid; an alternate model is developed based on diffusive transport between concentric spherical shells which will give a better assessment of the time dependence of densification high density (≫95%); the driving force is (P a /D+γk) in this case also. Because of the fact that the pore size is some unknown function of density, the rate equations cannot be integrated without further information. It is shown that of the various relations which have been assumed in development of models for hot pressing, for the effective stress in relationship to the applied stress and the porosity, (P a /D) is the only form which satifies the criteria demanded by self‐consistency in generation of steady‐state diffusion models.
Article
The creep of pure polycrystalline aluminum was studied at low stresses, and temperatures near the melting point. It was found that at stresses between 3 and 13 lb/in² the secondary creep rate varied linearly with the stress, whereas at slightly higher stresses, the creep rate increased with the fourth power of the stress. The activation energy for creep was determined to be about 35,500 calories per mole over the entire stress range. The low stress creep results in the range of "viscous" creep were analysed from the viewpoint of the Nabarro-Herring model for stress directed self-diffusion of vacancies, and it was found that the experimental creep rates were about one thousandfold greater than those predicted theoretically. This factor plus additional experimental observations on the displacements of markers at grain boundaries, and on creep recovery upon removal of the stress led to the conclusion that the Nabarro-Herring model does not apply to the case of aluminum, and that creep occurs by a dislocation climb mechanism at all stresses considered.
Article
Molecular-dynamics simulations are used to elucidate the effects of grain growth on grain-boundary diffusion creep and grain-boundary sliding during high-temperature deformation of a nanocrystalline Pd model microstructure. The initial microstructure consists of a 25-grain polycrystal with an average grain size of about 15 nm and a columnar grain shape. Prior to the onset of significant grain growth, the deformation proceeds via the mechanism of Coble creep accompanied by grain-boundary sliding. While grain growth is generally known to decrease the creep rate due to the increase of the average grain size, the results obtained in this study reveal an enhanced creep rate at the onset of the grain growth, when rapid grain-boundary migration occurs. The enhanced creep rate is shown to arise from topological changes during the initial growth phases, which enhance both the stress-induced grain-boundary diffusive fluxes and grain-boundary sliding. Dislocations generated as a result of grain-rotation-induced grain coalescence and grain-boundary decomposition in the vicinity of certain triple junctions also contribute to the deformation.
Article
Effect of the particle size on the possible electric discharge during the SPS was examined. Nanoparticle compacts enable accumulation of high electric charge, and discharge under conventional voltages used for the SPS. The critical particle size for the electric discharge is both morphological and material dependent. The early stages of densification of the nanocrystalline powder compact proceed either by the plastic deformation or grain-rotation coalescence and sliding, aided by softening of the particle surfaces. The active densification mechanism depends on the changes both in the mechanical and electrical properties with temperature. Densification of 11 nm nc-MgO particles with low yield stress proceeds by plastic deformation already at 700 °C. However, densification of 34 nm nc-YAG particles with high yield stress proceeds by nano-grain rotation aided by particle surface softening. Densification at the final stages of SPS is associated with diffusional processes, where curvature driven grain growth predominates.
Article
Dense zirconia and ceria ceramics with grain sizes approaching 10 nm have been obtained using a high-pressure modification of the field activated sintering (spark plasma sintering). Pressures up to 1 GPa and sintering times of 5 min have been used. The densification has been performed at temperatures as low as 930 °C for fully-stabilized zirconia, 815 °C for samaria-doped ceria, and 675 °C for pure ceria. Relative densities greater than 98% were achieved for all materials. The method overcomes the deleterious effect of powder agglomeration, producing fine grain size for these ceramics in bulk form.
Article
Nanocrystalline (nc) Y2O3 powders with 18nmcrystallite size were sintered using spark plasma sintering (SPS) at 1100 ◦C and 100MPa for different durations. Specimens with 98% density and 106±33nm mean grain size were formed after 20 min. The grain size at the final stage of sintering first increased and then tended to stagnation with the SPS duration. The nanostructure consisted of convex tetrahedron shaped nano-pores at part of the grain boundary junctions. Theoretical calculations were made for grain growth stagnation imposed by either drag from nano-pores at grain junctions or from dense triple junctions; the experimental results were in agreement with grain growth stagnation due to nano-pore drag in nc-Y2O3. The conditions for the stabilization of the nanostructure in Y2O3 were determined. Extended SPS duration up to 40 min led to sudden grain coarsening and loss of the nanocrystalline character.
Article
Isothermal and constant-grain-size sintering have been carried out to full density in Y2O3 with and without dopants, at as low as 40% of the homologous temperature. The normalized densification rate follows Herring’s scaling law with a universal geometric factor that depends only on density. The frozen grain structure, however, prevents pore relocation commonly assumed in the conventional sintering models, which fail to describe our data. Suppression of grain growth but not densification is consistent with a grain boundary network pinned by triple-point junctions, which have a higher activation energy for migration than grain boundaries. Long transients in sintering and grain growth have provided further evidence of relaxation and threshold processes at the grain boundary/triple point.
Article
Sintering is the process whereby interparticle pores in a granular material are eliminated by atomic diffusion driven by capillary forces. It is the preferred manufacturing method for industrial ceramics. The observation of Burke and Coble that certain crystalline granular solids could gain full density and translucency by solid-state sintering was an important milestone for modern technical ceramics. But these final-stage sintering processes are always accompanied by rapid grain growth, because the capillary driving forces for sintering (involving surfaces) and grain growth (involving grain boundaries) are comparable in magnitude, both being proportional to the reciprocal grain size. This has greatly hampered efforts to produce dense materials with nanometre-scale structure (grain size less than 100 nm), leading many researchers to resort to the 'brute force' approach of high-pressure consolidation at elevated temperatures. Here we show that fully dense cubic Y2O3 (melting point, 2,439 degrees C) with a grain size of 60 nm can be prepared by a simple two-step sintering method, at temperatures of about 1,000 degrees C without applied pressure. The suppression of the final-stage grain growth is achieved by exploiting the difference in kinetics between grain-boundary diffusion and grain-boundary migration. Such a process should facilitate the cost-effective preparation of other nanocrystalline materials for practical applications.
Self-propagating high-temperature synthesis: twenty years of search and findings
  • A G Merzhanov
Merzhanov AG. Self-propagating high-temperature synthesis: twenty years of search and findings. In: Munir ZA, Holt JB, editors. Combustion and plasma synthesis of high-temperature materialsPL New York. VCH Publishing Inc.; 1990. p. 1-53.