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Acta Metall Sin  2012, Vol. 48 Issue (10): 1207-1214    DOI: 10.3724/SP.J.1037.2012.00353
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PHASE FIELD SIMULATION OF SINTERING PROCESS IN BIPHASIC POROUS MATERIAL
LIU Mingzhi 1, ZHANG Ruijie 1, FANG Wei 1, ZHANG Shuzhou 1, QU Xuanhui 1,2
1. Institute of Advanced Materials and Technologies, University of Science and Technology Beijing, Beijing 100083
2. State Key Laboratory for Advanced Metal and Materials, University of Science and Technology Beijing, Beijing 100083
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Abstract  

Sintering is a process of bonding between solid particles which typically occurs under high temperature. Currently, simulation of sintering process is mainly concentrated on the single–phase polycrystalline materials. As there are a lot of materials which are biphasic porous system, it is of practical significance to simulate the microstructural evolution of biphasic porous system during sintering process. In this work, a new phase field model is established to simulate sintering process in biphasic porous system. The evolution of the component is governed by Cahn–Hilliard equation, while the orientation field by the time–dependent Allen–Cahn equation. A function is established to describe the relationship between atomic diffusion coefficient and grain boundary diffusion, surface diffusion and volume diffusion. A group of phenomenological coefficients are obtained by analyzing the characteristic of the phase–field model. The simulation results show that the new phase–field model can effectively simulate the sintering process in biphasic porous system. The formation and growth of sintering neck, the seal spheroidization and disappearance of pores as well as the mergence and growth of grains are observed during simulation. The sintering necks between the parent phase and the second phase grow very fast at the early stage of simulation, while at the late stage, because of the pinning effect, the growth rate of the sintering neck slows down obviously, pores become isolated by the grains, and its shape change from concave to convex, the relative small pores are eliminated, which leads to densification. As the sintering proceeds, the grain size of the second phase gradually decreases and the parent–phase grains are wrapped by the second–phase grains. Because of the pinning effect of the second phase, the migration rate of the grain boundary of the parent phase is restrained. The evolution course of pores depends largely on the interaction between the second phase and the pores.  The evolution rate of pores is quantitatively compared between the biphasic porous system and the single–phase system. In the case of biphasic porous system, the evolution rate of pores is slower than that in single–phase system. The simulating growth exponents of the parent phase are calculated with different volume fractions of the second phase. As the volume fractions of the second phase increase from 15% to 25%, the grain growth exponent changes from 2.9 to 3.4.

Key words:  phase–field model      diffusion coefficient      phenomenological coefficient      biphasic porous material     
Received:  14 June 2012     
Fund: 

Supported by National Basic Research Program of China (No.2011CB606306)

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. PHASE FIELD SIMULATION OF SINTERING PROCESS IN BIPHASIC POROUS MATERIAL. Acta Metall Sin, 2012, 48(10): 1207-1214.

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https://www.ams.org.cn/EN/10.3724/SP.J.1037.2012.00353     OR     https://www.ams.org.cn/EN/Y2012/V48/I10/1207

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