Please wait a minute...
Acta Metall Sin  2012, Vol. 48 Issue (10): 1207-1214    DOI: 10.3724/SP.J.1037.2012.00353
Current Issue | Archive | Adv Search |
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
Cite this article: 

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

Download:  PDF(1187KB) 
Export:  BibTeX | EndNote (RIS)      
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)

Service
E-mail this article
Add to citation manager
E-mail Alert
RSS
Articles by authors

URL: 

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

[1] German R M. Sintering Theory and Practice. New York: Wiley, 1996: 1

[2] Coble R L. J Appl Phys, 1961; 32: 787

[3] Coble R L. J Appl Phys, 1961; 32: 793

[4] Deborah C B, John D G, Seong J P. Mater Trans, 2006; 37: 715

[5] Wang Y U. Acta Mater, 2006; 54: 953

[6] Chen L Q, Fan D. J Am Ceram Soc, 1996; 79: 1163

[7] Jing X N, Zhao J H, He L H. J Mater Sci Eng, 2003; 21: 170

(景晓宁, 赵建华, 何陵辉. 材料科学与工程学报, 2003; 21: 170)

[8] Krill C E III, Chen L Q. Acta Mater, 2002; 50: 3057

[9] Kazaryan A, Patton B R, Dregia S A, Wang Y. Phys Rev, 2001; 50B: 499

[10] Kazaryan A, Wang Y, Dregia S A, Patton B R. Acta Mater, 2002; 50: 2491

[11] Kazaryan A, Wang Y, Dregia S A, Patton B R. Phys Rev, 2000; 61B: 14275

[12] Kazaryan A, Wang Y, Dregia S A, Patton B R. Phys Rev, 2001; 63B: 4102

[13] Suwa Y, Saito Y, Onodera H. Scr Mater, 2006; 55: 407

[14] Lange F F, Eur J. J Am Ceram Soc, 2008; 28: 1509

[15] Fan D, Chen S P, Chen L Q, Voorhees P W. Acta Mater, 2002; 50: 1895

[16] Wang Y Z, Banerjee D, Su J C, Khachaturyan A G. Acta Mater, 1998; 46: 2985

[17] Tiaden J, Nestler B, Diepers H J, Steinbach I. Physica, 1998; 115D: 73

[18] Zhu J Z, Liu Z K, Vaithyanathan V, Chen L Q. Scr Mater, 2002; 46: 401

[19] Zhang W, Jin YW, Khachaturyan A G. Acta Mater, 2007; 55: 565

[20] Kazaryan A, Wang Y, Patton B R. Scr Metall, 1999; 41: 487

[21] Fan D, Chen L Q. Acta Mater, 1997; 45: 611

[22] Wang Y Z, Liu Y H. J Am Ceram Soc, 2000; 83: 2219

[23] Fan D. PhD Thesis, The Pennsylvania State University, 1996

[24] Cahn J W, Hilliard J E. J Chem Phys, 1958; 28: 258

[25] Allen S M, Cahn J W. Acta Metall, 1978; 27: 1085

[26] Kazushige S K. J Cryst Growth, 2002; 237: 144

[27] Kumar V, Fang Z Z, Fife P C. Mater Sci Eng, 2010; A528: 254

[28] Cahn J W, Allen S M. Acta Metall, 1962; 10: 789

[1] Yuanrong LIU,Weimin CHEN,Ying TANG,Yong DU,Lijun ZHANG. APPLICATION OF PRAGMATIC NUMERICAL INVERSE METHOD IN COMPUTATION OF INTERDIFFUSION COEFFICIENTS IN Al TERNARY ALLOYS[J]. 金属学报, 2016, 52(8): 1009-1016.
[2] Zujiang HUANG, Min ZHOU, Yang YANG, Quanzhi CHEN, Shiguang TANG, Weizhou LI. STUDY OF ANODIC ALUMINUM OXIDE FILM AS AN INTERLAYER TO SUPPRESS ELEMENT DIFFUSION[J]. 金属学报, 2016, 52(3): 341-348.
[3] ZHANG Jinling1,2,3, FENG Zhiyong1, HU Lanqing1,2,3,WANG Shebin1,2,3, XU Bingshe1,2,3. PRECIPITATION BEHAVIOR OF AZ91 MAGNESIUM ALLOYS WITH DIFFERENT La CONTENTS[J]. 金属学报, 2012, 48(5): 607-614.
[4] CHEN Yexin CHANG Qinggang. EFFECT OF TRAPS ON DIFFUSIVITY OF HYDROGEN IN 20g CLEAN STEEL[J]. 金属学报, 2011, 47(5): 548-552.
[5] . The distribution and diffusion of carbon atoms during deformation of undercooled austenite in medium carbon steel[J]. 金属学报, 2007, 43(8): 785-790 .
[6] LIU Shi; ZHENG Hua; GUI Quanhong; MA Aihua; YU Hongbo; WANG Longbao. MEASUREMENTS OF HYDROGEN DIFFUSION COEFFICIENT FOR TUBE SAMPLES AT MEDIUM AND HIGH TEMPERATURES[J]. 金属学报, 2004, 40(4): 393-398 .
[7] DING Jinjun;ZHAO Gang;HAO Shiming (Northeastern University; Shenyang 110006). PHASE EQUILIBRIUM RELATIONSHIPS AND INTERDIFFUSION COEFFICIENTS OF β,α ANDγIN THE Ti-Al BINARY SYSTEM[J]. 金属学报, 1997, 33(10): 1105-1109.
[8] YANG Qiqin; (Department of Chemistry; Zhongshan University; Guangzhou 510275) QIU Kairong; LIU Guankun; GUAN Tong(Zhongshan University;Guangzhou 510275). ELECTROCHEMICAL BEHAVIOUR FOR REDUCTION OF Tm~(3+) IN MOLTEN CHLORIDES[J]. 金属学报, 1995, 31(22): 445-450.
[9] WANG Wendong; ZHANG Sanhong; HE Xinlai(University of Science and Technology Beijing; 100083)(Manuscript received 93-09-21. in revised form 94-01-26). DIFFUSION OF BORON IN Fe-BASE AND Ni-BASE ALLOYS[J]. 金属学报, 1995, 31(2): 56-63.
[10] WU Zhichun Institute of Chemical Metallurgy; Academia Sinica; Beijing. DETERMINATION OF DIFFUSION COEFFICIENT OF CuCl_2 IN AQUEOUS SOLUTIONS[J]. 金属学报, 1991, 27(4): 93-99.
[11] ZHU Xiaohe;YU Yongning University of Science and Technology Beijing. DIFFUSION COEFFICIENTS IN α(δ)-PHASE OF Fe-Mn-Si TERNARY SYSTEM AT 1000℃[J]. 金属学报, 1991, 27(3): 106-110.
[12] YANG Zhen'guo;DU Weixi;DU Senlin;LIU Sulan Jilin University of Technology; Changchun Changchun Institute of Applied Chemistry; Academia Sinica. DIFFUSION OF La IN LIQUID Al-Si ALLOY[J]. 金属学报, 1989, 25(2): 104-108.
No Suggested Reading articles found!