Determination Of Spatial Grain Size Distribution Of A Sintered Metal

H Amankwah,S Lauer,Md Ashraf-Ul-Alam,S Karichery

doi:10.4314/gjpas.v15i2.45388

Abstract

The determination of the spatial grain size distribution of a sintered metal from the size distribution estimated from a sample obtained in the section plane is a stereological problem. This problem is discussed with reference to homothetic particles (cubes of two different sizes) and to a system of three types of grains (fine and coarse cubes and coarse triangular prism). Two models are developed to solve the problem, one taking into account the size of the grains and section profiles only and one that includes shape considerations. The models are tested with simple and artificial examples, as well as with simulated data.

Highlights

Sintered metals are very useful for many practical purposes, for example in the top of drills and saws to cut stoneware
Since it is not possible to determine the distribution in the volume, it is usually estimated by examining a number of cross sections
Imagine a sintered metal tube which consists of grains of different sizes and shapes

Summary

Introduction

Sintered metals are very useful for many practical purposes, for example in the top of drills and saws to cut stoneware. In general, is the formation conglomerate from different materials to form a new material with different properties. It is important to know the distribution of grains in the sintered metal because the properties of the sintered metal largely depend on it. Since it is not possible to determine the distribution in the volume, it is usually estimated by examining a number of cross sections. This way of reasoning is called stereology. Imagine a sintered metal tube which consists of grains of different sizes and shapes Assume that this tube is cut arbitrarily and that on the cross-section, well-shaped domains (section profiles) can be distinguished with a microscope (see Figure 1.1). The two-dimensional section profiles vary in size and shape and from this information one can estimate the grain size distribution in the volume

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