Mathematical Relations

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

This one-of-a-kind handbook gives readers the relevantmathematical relations needed to model behavior, generate computersimulations, analyze experiment data, and quantify physical andchemical phenomena commonly found in particulate materialsprocessing. It goes beyond the traditional barriers of only onematerial class by covering the major areas in ceramics, cementedcarbides, powder metallurgy, and particulate materials. In manycases, the governing equations are the same but the terms arematerial-specific. To rise above these differences, the authorshave assembled the basic mathematics around the following topicalstructure:

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

• Powder processing, such as uniaxial compaction, injectionmolding, slurry and paste shaping techniques, polymer pyrolysis, sintering, hot isostatic pressing, and forging, with accompanyingrelations associated with microstructure development andmicrostructure coarsening

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

Handbook of Mathematical Relations in Particulate MaterialsProcessing is suited for quick reference with stand-alonedefinitions, making it the perfect complement to existing resourcesused by academic researchers, corporate product and processdevelopers, and various scientists, engineers, and techniciansworking in materials processing.