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Modelling of Materials Processing

An approachable and practical guide

  • Book
  • © 1998

Overview

Authors:
  1. Gregory C. Stangle
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Part of the book series: Materials Technology Series (MTEC, volume 3)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xix
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  2. Balance Equations

    1. Front Matter

      Pages 1-1
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    2. Balance equations: An informal description

      • Gregory C. Stangle
      Pages 3-30

    3. Conserved quantities for the balance equations

      • Gregory C. Stangle
      Pages 31-92

    4. Balance equations for a single-phase material

      • Gregory C. Stangle
      Pages 93-198

    5. Balance equations for a multiphase material

      • Gregory C. Stangle
      Pages 199-259

  3. Constitutive Felationships

    1. Front Matter

      Pages 261-261
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    2. Constitutive relationships: Near-equilibrium thermodynamics

      • Gregory C. Stangle
      Pages 263-290

    3. Expressions for a single-phase material

      • Gregory C. Stangle
      Pages 291-310

    4. Internal geometry & topology of multiphase materials

      • Gregory C. Stangle
      Pages 311-345

    5. Expressions for the system in a multiphase material

      • Gregory C. Stangle
      Pages 346-369

    6. Expressions for the solid phase in a multiphase material

      • Gregory C. Stangle
      Pages 370-390

    7. Expressions for the liquid phase in a multiphase material

      • Gregory C. Stangle
      Pages 391-421

    8. Expressions for the gas phase in a multiphase material

      • Gregory C. Stangle
      Pages 422-429

  4. Practical Considerations

    1. Front Matter

      Pages 431-431
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    2. Interlude: Use of chapters 1–11

      • Gregory C. Stangle
      Pages 433-448

    3. Sources of material property values

      • Gregory C. Stangle
      Pages 449-458

    4. Numerical solution: Some finite difference methods

      • Gregory C. Stangle
      Pages 459-498

    5. Numerical solution: Some finite element methods

      • Gregory C. Stangle
      Pages 499-559

  5. Implementation

    1. Front Matter

      Pages 561-561
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Keywords

About this book

This is a book about mathematical modelling. It focuses on the modelling of the preparation of materials. Materials are important, of course, in an economic sense: the "goods" of goods-and-services are made of materials. This provides a strong incentive to produce good materials and to improve existing materials. Mathematical modelling can help in this regard. Without a doubt, modelling a materials processing operation is not strictly necessary. Materials synthesis and fabrication processes certainly existed before the invention of mathematics and computers, and well before the combined use of mathematics and computers. Modelling can, however, be of assistance--if done properly--and if used properly. The mathematical modelling described in this book is, at its root, a rather formal, structured way of thinking about materials synthesis and fabrication processes. It requires looking at a process as a whole. It requires considering everything that is or might be important. It requires translating the details of a given physical process into one or more mathematical equations. It requires knowing how to simplify the equations without over-simplifying them.

Bibliographic Information

  • Book Title: Modelling of Materials Processing

  • Book Subtitle: An approachable and practical guide

  • Authors: Gregory C. Stangle

  • Series Title: Materials Technology Series

  • DOI: https://doi.org/10.1007/978-1-4615-5813-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Gregory C. Stangle 1998

  • Hardcover ISBN: 978-0-412-71120-6Published: 30 September 1998

  • Softcover ISBN: 978-1-4613-7664-4Published: 26 February 2014

  • eBook ISBN: 978-1-4615-5813-2Published: 27 November 2013

  • Series ISSN: 1389-2126

  • Edition Number: 1

  • Number of Pages: XIX, 928

  • Topics: Characterization and Evaluation of Materials

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