The K Value Distribution of Liquid Phase Sintered Microstructures

PoLiang Liu^{1)} and ShunTian Lin^{1)}

1) Mechanical Engineering Department, National Taiwan University of Science and Technology

A complex geometry of a powder compact in the threedimensional multiple particle arrangement was generated by a Monte Carlo method, and the K value (a constant links the twodimensional connectivity to the threedimensional coordination number) distributions of liquid phase sintered systems, parameters linked the twodimensional connectivity to the threedimensional coordination number, were solved by the numerical computation. With this probability model, irregular packing of particles in threedimensional space could be formulated with the variations of the particle size distribution. Unlike previous analytical models in which the grain boundary energy was set to a constant value, a relationship between the grain boundary energy and the misorientation angle between neighboring grains could be incorporated into this model in a probability manner. Simulation results indicate that the mean K value in the initial stage of liquid phase sintering increases with an increasing volume fraction of liquid phase, an increasing ratio of the mean base particle size to the mean additive particle size, and a decreasing standard deviation of the particle size distribution. The findings of the simulation are favorably compared with previous experimental observations on W–Ni–Fe alloys.

Keyword: K value; Monte Carlo model, coordination number, connectivity, grain boundary energy, dihedral angle

Received: February 05, 2002
Accepted: June 11, 2002 ,
Published online: September 06, 2005 
Copyright (c) 2005 The Japan Institute of Metals 
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