Configurational Forces as Basic Concepts of Continuum Physics

  • Morton E. Gurtin

Part of the Applied Mathematical Sciences book series (AMS, volume 137)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction

    1. Pages 1-17
  3. Configurational Forces within a Classical Context

  4. The Use of Configurational Forces to Characterize Coherent Phase Interfaces

    1. Front Matter
      Pages 61-61
    2. Pages 63-65
  5. An Equivalent Formulation of the Theory. Infinitesimal Deformations

    1. Front Matter
      Pages 81-81
  6. Evolving Interfaces Neglecting Bulk Behavior

  7. Coherent Phase Interfaces wtih Interfacial Energy and Deformation

  8. Solidification

  9. Fracture

  10. Two-Dimensional Theory of Corners and Junctions Neglecting Inertia

  11. Back Matter
    Pages 225-249

About this book


For the last decade, the author has been working to extend continuum mechanics to treat moving boundaries in materials focusing, in particular, on problems of metallurgy. This monograph presents a rational treatment of the notion of configurational forces; it is an effort to promote a new viewpoint. Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture. The work should be of interest to materials scientists, mechanicians, and mathematicians.


Configurational Forces Metall continuum mechanics continuum physics deformation fracture kinematics mechanics stress thermodynamics

Authors and affiliations

  • Morton E. Gurtin
    • 1
  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburghUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98667-8
  • Online ISBN 978-0-387-22656-9
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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