Materials Processing in Manufacturing
A review will be presented of basic probability theory and statistical analysis, with particular emphasis on terms and definitions of a microstructure. The properties accessible to quantification, the basic stereological relationships and the mathematical foundations, and the microstructural tools needed to quantify the structure will be emphasized. The last one-third of the course will cover applications of quantitative metallography to problems in failure analysis, solidification, heat treatment, phase equilibria, and deformation behavior.
MSE53000
Credit Hours:
3Learning Objective:
Upon completion of this course the student is expected to:- identify elements or features on 2-D sections or images appropriate for quantitative description of microstructures of 3-D objects.
- measure volume fraction of individual phases employing techniques of areal analysis, lineal analysis, and systematic point-count.
- determine surface to volume ratio of grain boundaries and interfaces of particles dispersed in a matrix.
- determine average grain size by lineal intercept method and to evaluate sizes of particles with regular shapes of a sphere, disk or cylinder from areal and lineal analyses.
- assess size distribution of spherical particles in a matrix from measurements and analyses of diameters, areas and chords on 2-D sections.
- characterize oriented structures with systems of lines and surfaces for types and degrees of orientation.
- employ computer-aided procedures for image acquisition and data analysis of microstructural features.
Description:
A review will be presented of basic probability theory and statistical analysis, with particular emphasis on terms and definitions of a microstructure. The properties accessible to quantification, the basic stereological relationships and the mathematical foundations, and the microstructural tools needed to quantify the structure will be emphasized. The last one-third of the course will cover applications of quantitative metallography to problems in failure analysis, solidification, heat treatment, phase equilibria, and deformation behavior.
Topics Covered:
Prerequisites:
Applied / Theory:
50 / 50Textbooks:
"Quantitative Microscopy", ed. by R. T. DeHoff and F. N. Rhines, (McGraw-Hill, New York, NY 1968)."Quantitative Image Analysis of Microstructures", ed. by H. E. Exner and H. P. Hougardy, (DGM Informationsgesellschaft, Germany, 1988).
"Quantitative Stereology", E.E. Underwood, (Addison-Wesley, Reading, MA, 1970).
Typed class notes.