Handbook of Mathematical Relations in Particulate Materials Processing
350 Pages

Handbook of Mathematical Relations in Particulate Materials Processing



The only handbook of mathematical relations with a focus on particulate materials processing

The National Science Foundation estimates that over 35% of materials-related funding is now directed toward modeling. In part, this reflects the increased knowledge and the high cost of experimental work. However, currently there is no organized reference book to help the particulate materials community with sorting out various relations. This book fills that important need, providing readers with a quick-reference handbook for easy consultation.

This one-of-a-kind handbook gives readers the relevant mathematical relations needed to model behavior, generate computer simulations, analyze experiment data, and quantify physical and chemical phenomena commonly found in particulate materials processing. It goes beyond the traditional barriers of only one material class by covering the major areas in ceramics, cemented carbides, powder metallurgy, and particulate materials. In many cases, the governing equations are the same but the terms are material-specific. To rise above these differences, the authors have assembled the basic mathematics around the following topical structure:

  • Powder technology relations, such as those encountered in atomization, milling, powder production, powder characterization, mixing, particle packing, and powder testing

  • Powder processing, such as uniaxial compaction, injection molding, slurry and paste shaping techniques, polymer pyrolysis, sintering, hot isostatic pressing, and forging, with accompanying relations associated with microstructure development and microstructure coarsening

  • Finishing operations, such as surface treatments, heat treatments, microstructure analysis, material testing, data analysis, and structure-property relations

Handbook of Mathematical Relations in Particulate Materials Processing is suited for quick reference with stand-alone definitions, making it the perfect complement to existing resources used by academic researchers, corporate product and process developers, and various scientists, engineers, and technicians working in materials processing.



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Published 06 January 2009
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EAN13 9780470368725
License: All rights reserved
Language English

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Computer simulations and mathematical models are important aspects of modern engineering. The technical journals abound with examples of how mankind is gaining predictability, even moving to virtual design of aircraft, spacecraft, auto mobiles, and other engineered systems. Accordingly, software sales to the engineer ing community have accelerated to shorten design times while accurately predicting what will happen. It is clearly desirable to move from observation to prediction, if we can establish that the underlying principles are known. In particulate materials proces sing, many mathematical relations have been identified by research over the past century. These relations describe the systems and the interactions during processing. This book collects that knowledge into a compilation geared to many users. The obvious application is in support of computer simulations, where constitutive relations are required to feed discrete and finite element analysis. A related area is in the analysis of experimental data, where underlying patterns are extracted from designed experiments. Another important area is in sensitivity analysis, and the understanding of uncertainty. The relations presented here provide a context for sup porting all of these activities and to help students find the needed relations without delving into many different papers, books, and handbooks dating from the 1800s. On the one hand, this book reflects where our knowledge is firm enough to provide a mathematical description. On the other hand, areas were our knowledge is shallow will obviously be targets for future studies. Indeed, this organization provides a fertile delineation of areas needing attention. Here we give attention to techniques widely employed in ceramics, powder metallurgy, cemented carbides, and related particulate materials. Entries are included that deal with many aspects of powder technology, such as the following:
Powder production and powder characterization Powder shaping via compaction, injection molding, and extrusion Powder consolidation via sintering, hot pressing, and hot isostatic pressing Finishing operations, microstructure analysis, material testing Performance linkages to structure – property relations.
Although modeling is fundamental to materials processing, little organization occurs in the field. This book is written for those already exposed to the concepts associated with particulate materials processing. It will be most useful for researchers, production engineers, students, faculty, and quality personnel.
The book is an addition to the Wiley Series on Materials Processing. After much discussion, we elected to organize the sections alphabetically. This was in part due to early concerns by external reviewers about trying to organize the information around processing sequences, especially in light of the uneven developments up to now. Consequently, an alphabetical organization is employed, keeping in mind that many topics arise at several points; for example, grain growth concepts arise in powder formation, sintering, hot isostatic pressing, and heat treatment. The rigor and depth of knowledge was nonuniform by topic, leaving some areas with poor coverage, so this organization seemed to provide rapid access to key points with less repetition. Our efforts were assisted by several people. Jennifer Brou provided the line draw ings and Jay Chae was most helpful with drafting the text. We are very thankful to Sukyoung Ahn, Paul Allison, Arockiasamy Antonyraj, Pavan Suri, and Laura Tucker for providing helpful reviews on the manuscript.