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陶瓷烧结过程孔隙演化的二维相场模拟

景晓宁; 倪勇; 何陵辉; 赵建华   

  1. 中国科学技术大学力学与机械工程系 合肥 230027
  • 收稿日期:2001-09-14 修回日期:2001-10-29 出版日期:2002-09-20 网络出版日期:2002-09-20

2-D Phase-field Simulation of Pore Evolution in Sintering Ceramics

JING Xiao-Ning; NI Yong; HE Ling-Hui; ZHAO Jian-Hua   

  1. Department of Modern Mechanics; University of Science and Technology of China; Hefei 230027; China
  • Received:2001-09-14 Revised:2001-10-29 Published:2002-09-20 Online:2002-09-20

摘要: 采用二维相场模型模拟陶瓷烧结过程中颗粒间孔隙的演化过程.选取四方堆积颗粒间气孔作为对象.通过连续的密度场和长程取向场(LRO)描述烧结体的微结构,密度场的演化由Cahn-Hillard(CH)方程控制,而颗粒的取向场演化由时间相关的Ginzburg-Laudau(TDGL)方程控制.上述非线性演化方程利用半隐傅立叶频域法求解.模拟结果反映了颗粒间接触,烧结颈生长和气孔球化的微观过程.量化计算烧结颈生长率以及在不同晶界和表面迁移率比值时的烧结率,较好地符合理论分析的趋势.

关键词: 陶瓷烧结, 孔隙的微结构演化, 相场模型

Abstract: This paper was devoted to the modeling of pore evolution in sintering ceramics by a two-dimensional phase-field model. A pore among four grains was considered,
and the microstructure was described by a continuous density field and a long-range orientation field(LRO). The evolution of the density was governed by Cahn-Hilliard
equation, while the orientation field by the time-dependent Ginzburg-Landau equation(TDGL). The nonlinear evolution equations were solved by a semi-implicit Fourier-spectral
scheme. The simulation results reflect the microscopic process such as grain contact, sintering neck growth and pore spheroidization. The predicted growth rate of sintering
neck and sintering rate for different ratios of grain boundary to surface mobility are consistent with the existing theoretical analysis.

Key words: sintering of ceramics, evolution of pore microstructure, phase-field model

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