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Variational Methods for Crystalline Microstructure - Analysis and Computation

  • Authors
  • Georg┬áDolzmann

Part of the Lecture Notes in Mathematics book series (LNM, volume 1803)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Georg Dolzmann
    Pages 1-10
  3. Georg Dolzmann
    Pages 11-68
  4. Georg Dolzmann
    Pages 83-126
  5. Georg Dolzmann
    Pages 127-152
  6. Georg Dolzmann
    Pages 153-175
  7. Georg Dolzmann
    Pages 177-182
  8. Georg Dolzmann
    Pages 193-196
  9. Georg Dolzmann
    Pages 197-200
  10. Georg Dolzmann
    Pages 201-209
  11. Georg Dolzmann
    Pages 211-212
  12. Back Matter
    Pages 213-217

About this book

Introduction

Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.

Keywords

Crystallography REM microstructures nematic elastomers numerics of microstructures quasiconvexity semiconvex hulls

Bibliographic information

  • DOI https://doi.org/10.1007/b10191
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-00114-0
  • Online ISBN 978-3-540-36125-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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