Micro-macro simulation of sintering process by combining Monte Carlo and finite element methods

Ken Ichiro Mori, Hideaki Matsubara, Nobuhiro Noguchi, Masayoshi Shimizu, Hiroshi Nomura

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4 Citations (Scopus)


A micro-macro method for simulating a sintering process of ceramic powder compacts based on the Monte Carlo and finite element methods is proposed. Macroscopic non-uniform shrinkage during the sintering is calculated by the viscoplastic finite element method. In the microscopic approach using the Monte Carlo method, powder particles and pores among the particles are divided into many cells, and the growth of grains in the particles and the disappearance of pores are simulated by means of the Potts model. The microscopic and macroscopic approaches are combined by exchanging microscopic and macroscopic information in each step. In the Monte Carlo method, the effect of macroscopic plastic deformation on the microstructural change is taken into consideration by including plastic strain-rate calculated by the finite element method in the disappearance frequency of pore cells. The shrinkage behavior in the sintering of circular two-layer compacts is simulated by the proposed micro-macro method.

Original languageEnglish
Pages (from-to)516-520
Number of pages5
JournalJournal of the Ceramic Society of Japan
Issue number1295
Publication statusPublished - 2003 Jul


  • Ceramics
  • Combining method
  • FEM
  • Micro-macro simulation
  • Monte Carlo method
  • Shrinkage
  • Sintering


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