Lecture Notes in Mathematics

Variational Methods for Crystalline Microstructure - Analysis and Computation

Authors: Dolzmann, Georg

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About this book

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 37,44 €
price for Spain (gross)
  • ISBN 978-3-540-36125-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,75 €
price for Spain (gross)
  • ISBN 978-3-540-00114-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Variational Methods for Crystalline Microstructure - Analysis and Computation
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1803
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36125-1
DOI
10.1007/b10191
Softcover ISBN
978-3-540-00114-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 217
Topics