The Quantitative Description of the Microstructure of Materials: 1st Edition (Hardback) book cover

The Quantitative Description of the Microstructure of Materials

1st Edition

By Krzysztof Jan Kurzydlowski, Brian Ralph

CRC Press

432 pages

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Hardback: 9780849389214
pub: 1995-07-21
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This book, the product of a deep collaboration between the two authors, strikes a balance between the traditional approach and newly emerging techniques used to obtain a quantitative description of the microstructure of materials.

The Quantitative Description of the Microstructure of Materials has a unique format that sets it apart from other books. The first half of the book gives a comprehensive account of the entire quantification process and presents material in a pedagogical style. Numerous examples appear throughout text to illustrate the methodology. A general introduction to the subject and basic concepts, definitions, techniques, and relationships are provided. Aspects of modern stereology are described in detail. Image processing, computer aided procedures of data analysis, and the elements of a system for image analysis also are discussed at length.

The remaining chapters treat a series of significant examples in much more detail. This part of text offers information in an easy-to-access reference style, making it extremely useful as a guide to active researchers in the quantification guide. Topics include dislocations, internal and external surfaces, and quantitative characterization of thin film structures. The book covers geometry of grains and its effect on the properties of polycrystals. Particles, pores, and other isolated volumetric elements of the microstructure also are discussed.

Table of Contents


Elements of the Microstructures of Materials

Size and Shape

The Influence of Microstructure on the Properties of Materials

Stochastic Character of the Geometry of Microstructures

Observations of the Microstructure of Materials

About the Book


Basic Concepts, Definitions, Techniques, and Relationships

Populations, Individual Microstructural Elements, and Distribution Functions

Distribution Functions

Parameters of the Populations

Normal and Log-Normal Distribution


Size of the Samples

Microstructural Homogeneity

General Characterization of Material Microstructures

Geometrical Probing

Random and Oriented Sections

Random Oriented Lines

Point Testing

Number and Weighted Distributions


Volume Fraction Determination

Density of Two-Dimensional Features in Space

Density of Lines on a Plane

Density of Lines in Space

Density of Elements and Average Properties

Modification for Anisotropic Lines and Surfaces

Anisotropic Distribution of Lines

Estimation of the Density of Volume Elements, NV, by a Method of Size Distribution Reconstruction

Description of Particle Agglomeration

Curvature of Lines on a Plane


Modern Stereology

Disector-New Approach to Particle Density

Selector-Particle Volume Distribution

Point Sampled Intercepts

Second Order Statistics-Methods for Estimating the Variance of Particle Volume



Vertical Sectioning-Area of the Surfaces




Computer Aided Characterization of the Microstructures of Materials

Image Processing

Computer Aided Procedures of Data Analysis

Elements of a System for Image Analysis


Characterization of Linear and Planar Elements of Microstructures


Internal Surfaces

External Surfaces

Quantitative Characterization of Thin Film Structures


The Geometry of Grains and Its Effect on the Properties of Polycrystals


Grains as Space Filling Volumetric Elements

Stochastic Character of Grains Geometry

The Relationship Between 3-D Grains and Their 2-D Sections

Grain Size

Grain Area Distribution Function and Its Relationship to Grain Volume Distribution

Mean Size of Grains

Relationship Between Linear Parameters of Grain Size

Degree of Grain Size Uniformity

Data for Metallic Polycrystals

Grain Size Effect

Geometry of Grains and Physical Properties of Grain Boundaries


Changes in the Geometry of Grains and Grain Boundaries Under the Action of External and Internal Factors

Tensile Test

Changes in the Geometry of Grains in Strained Polycrystals-Uniform Deformation Approximation

Spherical Grains Approach

Stochastic Geometry Modelling

Statistically Compatible Deformation

Localized Deformation

An Application to the Studies of Plastic Deformation Mechanisms

Grain Geometry Evolution Under the Action of Internal Factors

Annealing of Deformed Materials


Particles, Pores, and Other Isolated Volumetric Elements of the Microstructure

Particle Sampling and Choice of Parameters

General Characteristics of Particle Populations: Volume, Surface Area, Curvature, and Number

Individual Properties of Particles: Mean Volume and Coefficient of Variation

Particle Arrangements and Orientations

Description of Particle Shapes

Shape of Particle Sections

Fourier Analysis of Sections Shape


About the Authors/Editor

Kurzydlowski\, Krzysztof Jan; Ralph\, Brian

About the Series

Materials Science & Technology

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Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics