A. Simchi / Materials Science <strong>and</strong> Engineering A 428 (2006) 148–158 157<strong>laser</strong> beam [32]. The formation <strong>of</strong> oxide layer on the surface<strong>of</strong> powder particles significantly increases the absorption rate<strong>of</strong> CO 2 <strong>laser</strong> radiation [33]. This changes the temperature-timehistory <strong>of</strong> <strong>sintering</strong> <strong>and</strong> increases the melt volume, allowingsurface tension become more dominant. Another concern is theliquid <strong>metal</strong> surface tension, which influences the wetting anglebetween the solid <strong>and</strong> the liquid phases that can disrupt bondingbetween rastered lines <strong>and</strong> individual layers [10,34]. Therefore,the amount <strong>of</strong> oxygen present during the heating, melting, <strong>and</strong>fusion <strong>of</strong> <strong>metal</strong> <strong>powders</strong> in the <strong>laser</strong> <strong>sintering</strong> process shouldinfluence the densification <strong>and</strong> the attendant microstructural features.As it has been addressed in the previous publication [30],the effect <strong>of</strong> oxygen can be considered in the densification coefficient,K. Anyway, except the role <strong>of</strong> oxygen that can be takeninto account by using the densification coefficient, the effect <strong>of</strong>protecting gas is not very pronounced <strong>and</strong> does not impact the<strong>sintering</strong> rate considerably.5. ConclusionsThe effect <strong>of</strong> processing parameters on the densification <strong>of</strong><strong>metal</strong> <strong>powders</strong> in the <strong>laser</strong> <strong>sintering</strong> process was investigated.Based on the empirical <strong>sintering</strong> rate data, a relationship wasestablished between the densification <strong>of</strong> <strong>metal</strong> <strong>powders</strong> duringDMLS <strong>and</strong> the energy delivered to the powder bed bythe <strong>laser</strong> beam. This relationship has been shown to be usefulfor <strong>metal</strong>s with congruent melting point or alloys, which fullmelting/solidification approach is feasible mechanism <strong>of</strong> rapidparticle bonding in DMLS process. The following conclusionscan be afforded.1. The <strong>laser</strong> <strong>sintering</strong> can be considered as “high power densityshortinteraction time” process. The delivered energy heatsup the exposed powder particles rapidly beyond the meltingtemperature. The particle bonding is then performed <strong>and</strong> the<strong>kinetics</strong> <strong>of</strong> densification depends on the working temperature.Consequently, the parameters involved in determining themethod <strong>of</strong> energy delivered to the powder medium control the<strong>sintering</strong> rate. Meantime, the evaporation <strong>of</strong> exposed powderin the <strong>laser</strong> <strong>sintering</strong> process may occur, particularly at anintensive <strong>laser</strong> energy input.2. It was found that as the <strong>laser</strong> energy input increases (higher<strong>laser</strong> power; lower scan rate; lower scan line spacing; lowerlayer thickness) better densification is achieved. Nevertheless,there is a saturation level, in which, even at very intensive<strong>laser</strong> energy full density cannot be obtained.3. When melting/solidification approach is the mechanism <strong>of</strong>densification, the rate changes in void fraction <strong>of</strong> powderbed in DMLS process obeys the first order kinetic law:∂ε/∂t = −k ′ ε. The <strong>sintering</strong> rate (k ′ ) was found to be a function<strong>of</strong> the <strong>laser</strong> energy input. Therefore, the sintered density<strong>of</strong> <strong>metal</strong> <strong>powders</strong> in DMLS process should be an exponentialfunction <strong>of</strong> the <strong>laser</strong> energy input.4. Besides the fabrication parameters, the powder propertiesstrongly influence the densification <strong>kinetics</strong>. Finer particlesprovide lager surface area to absorb more <strong>laser</strong> energy, leadingto a higher <strong>sintering</strong> rate. The chemistry <strong>and</strong> the shape<strong>of</strong> the particles also affect the densification in DMLS process.To take into account the material characteristics in the<strong>sintering</strong> model, a densification coefficient (K) was defined<strong>and</strong> used. It was shown that this coefficient is related to thepowder characteristics (chemical composition, particle size,particle size distribution, oxygen content, etc.) <strong>and</strong> the <strong>sintering</strong>rate increases as the K value decreases.5. The results showed that <strong>laser</strong> scanning strategy <strong>and</strong> <strong>sintering</strong>atmosphere influence the densification. Although the development<strong>of</strong> thermal stresses highly depends on the scanningstrategy, the effect <strong>of</strong> scan vector length on the sintereddensity was found to be marginal. 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