sintering additives the additives help to control the microstructure of the sintered materials they can be classified under two categories: – additives that react with the basic compound to give a liquid phase, for example silicon nitride si3n4 ceramics are an example of where some sintering additives are selected to react with the silica layer (sio2) that covers the nitride grains. thus, magnesia mgo reacts with sio2 to form mgsio3, from which we have liquid phase at about 1550°c. – additives that do not lead to the formation of a liquid phase and which consequently enable the sintering to take place in solid phase. this is the case of the doping of al2o3 with a few of mgo , because the lowest temperature at which a liquid can appear in the al2o3-mgo system exceeds the sintering temperature (which, for alumina, does not go beyond 1700°c). the chronothermic effect (“a long duration heat treatment at lower temperature is equivalent to a short duration heat treatment at higher temperature”). sintering with liquid phase parameters of the liquid phase various technical ceramics, most metals and cermets are all sintered in the presence of a liquid phase. it is rare that sintering with liquid phase does not imply any chemical reactions, but in the simple case where these reactions do not have a marked influence, surface effects are predominant. the main parameters of the liquid phase: 1) quantity of liquid phase: as the compact stacking of spheres leaves a porosity of approximately 26% this value is the order of magnitude of the volume of liquid phase necessary to fill all the interstices and allow the rearrangement of the grains observed at the beginning of the vitrification. however, the presence of a small quantity of liquid (a few volumes percent) does not make it possible to fill the interstices. p= damb d3 ?? ???? (tf-t) where p porosity , damb is the ambipolar diffusivity , d is the average diameter of the sintering particles, k constant , t temperature , tf final time and t the initial time for sintering , l volume fraction of liquid phase. sintering -lecture (3) 9 2) viscosity of the liquid: this decreases rapidly when the temperature increases. pure silica melts only at a very high temperature to produce a very viscous liquid. the presence of lkaline earths quickly decreases the softening temperature and the viscosity of the liquid. ? = ?o exp(q/rt) where q is the apparent activation energy of the process, r is the ideal gas constant, t the temperature ,? viscous flow of vitreous phases , ?o the viscosity . the viscosity of the liquid should be neither too low – because then the sintered part becomes deformed in an unacceptable way – nor too high – because then the viscous flow is too limited, making grain rearrangement difficult. 3) wettability: wettability is quantifiable by the experiment of the liquid droping placed on a solid, because the equilibrium shape of the droping minimizes the interfacial energies. if ?lv is the liquid-vapor energy, ?sv the solid-vapor energy and ?sl the solid-liquid energy, the angle of contact (?) is such that ?lvcos? = ?sv – ?sl when ?sl is high, the droping minimizes its interface with the solid, hence a high value of ?: ? > 90° corresponds to non-wetting (depression of the liquid in a capillary). on the contrary, when ?sl << ?sv, the liquid spreads on the surface of the solid: ? < 90° corresponds to wetting (rise of the liquid in a capillary) and for ? = 0, the wetting is perfect. 4) the respective solubilities of the solid in the liquid and the liquid in the solid. the stages in liquid phase sintering the shrinkage curve recorded during an isothermal treatment of liquid phases shows three stages: – viscous flow and grain rearrangement: when the liquid is formed, the limiting process consists of a viscous flow, which allows the rearrangement of the grains. the liquid dissolves the surface asperities and also dissolves the small grains . the granular rearrangement is limited to the liquid phase sintering itself, but it can be enough to allow complete densification if the liquid phase is in sufficient quantity, as is the case in the vitrification of silicate ceramics. sintering -lecture (3) 10 – solution-reprecipitation: the solubility of the solid in the liquid increases at the inter-particle points of contact. the transfer of matter followed by reprecipitation in the low energy areas results in densification. – development of the solid skeleton: the liquid phase is eliminated gradually bythe formation of new crystals or solid solutions and the last stage of the elimination of porosity . the disintegration of the grains attacked by the liquid results in the ripening (coalescence of small particles to give a larger particle) and changes in the shape of the particles, with flattening of the areas of contact. as the crystalline growth is less hampered when a crystal grows in a liquid than when it remains in contact with solid obstacles, we sometimes observe grains whose morphology reflects these anisotropy effects: for instance, they are elongated and faceted. r2 0.av – r2 av = (2 ?sv pflat kr /kt ) t where r0.av is the average particle size at t = 0. r2 av is the average particle size after rearrangement , kr is a proportionality constant related to the mobility of the interface , ?sv surface –vapor energy , k constant , t temperature , t sintering time , pflat the partial pressure over any particle of radius of flattening of the particles in the areas of contact . – weak reaction between liquid and solid: the liquid has the primary role, after cooling, of forming the matrix in which the grains that have not reacted have been glued. this is the case of abrasive materials where the grains (silicon carbide sic or alumina al2o3) are bound by a solidified vitreous phase. pore evolution during sintering microstructural coarsening during sintering is commonly considered in terms of how fast the grains grow. however, a more realistic view of the sintering compact may be that of a network of contacting grains interpenetrated by a network of porosity, microstructure evolution in porous system. the compact formed from fully dense particles, the porosity is initially all connected. as sintering proceeds, more and more of the open porosity is converted to closed porosity. the conversion is, however, dependent on the packing uniformity of the structure. initially, the total porosity of the zno compact was 0.37, made up of an open porosity of 0.36 and closed porosity of 0.01. during sintering at 1400°c, the open porosity decreased continuously, whereas the closed porosity increased initially to 0.04 but returned to the value of 0.01. this sintering -lecture (3) 11 initial variation in the closed porosity may be due to the sintering of fairly dense agglomerates. when the open porosity had decreased to 0.15, the closed porosity began to increase again and reached a maximum value of 0.05, after which it decreased with further sintering. pf - p0= -(const) damb ?sv/d3kt where p0 is the initial size of the pores , pf is the final size of the pores , damb is the ambipolar diffusivity , d is the average diameter of the sintering particles, k constant , t temperature , ?sv surface –vapor energy . controlled use of abnormal grain growth whereas the suppression of abnormal grain growth is commonly a key goal in sintering, the ability to exploit abnormal grain growth in a controlled manner can provide significant benefits for several ceramic systems. for example, seeding a fine-grained polycrystalline ceramic with a very large grain does have the effect that this grain will become very large before the slower growing matrix will have developed an average size even comparable to the seed grain. the procedure proved successful for batio3, al2o3, and. the in situ growth of a controlled distribution of anisotropic abnormal grains in a fine-grained matrix has been used to enhance the fracture toughness of si3n4, sic, and mullite. a more elegant procedure developed, referred to as templated grain growth, involves the use of large, elongated seed crystals that are mixed with a fine equiaxial powder and aligned during the forming of the green body by, for example, tape casting. the aligned seed crystals act as templates to pattern the growth of the matrix during sintering, leading to microstructural texturing.
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