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Microstructure and Phase Transition

  • David Kinderlehrer
  • Richard James
  • Mitchell Luskin
  • Jerry L. Ericksen

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 54)

Table of contents

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications MICROSTRUCTURE AND PHASE TRANSITION is based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." We thank R. Fosdick, M.E. Gurtin, W.-M. Ni and L.A. Peletier for organizing the year-long program and, especially, D. Kinderlehrer, R. James, M. Luskin and J. Ericksen for organizing the meeting and editing these proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, and the National Science Foun­ dation. A vner Friedman Willard Miller. Jr. PREFACE Much of our traditional knowledge of materials and processes is achievf'd by observa­ tion and analysis of small departures from equilibrium. Many materials, especially modern alloys, ceramics, and their composites, experience not only larger but more dramatic changes, such as the occurrence of phase transitions and t.he creation of defect structures, when viewed at the microscopic scale. How is this observed, how can it be interpreted, and how does it influence macroscopic behavior? These are the principle concerns of this volume, which constitutes the proceedings of an IMA workshop dedicated to these issues.

Keywords

Potential behavior bifurcation crystal experiment mathematics microstructure phase phase transition structure

Editors and affiliations

  • David Kinderlehrer
    • 1
  • Richard James
    • 2
  • Mitchell Luskin
    • 3
  • Jerry L. Ericksen
    • 4
  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburghUSA
  2. 2.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA
  3. 3.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  4. 4.FlorenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8360-4
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8362-8
  • Online ISBN 978-1-4613-8360-4
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site