Phase Separation Coupled with Damage Processes

Analysis of Phase Field Models in Elastic Media

Authors: Heinemann, Christian, Kraus, Christiane

  • Publication in the field of natural sciences

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About this book

The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The equations are derived in a thermodynamically consistent framework and suitable weak formulations for various types of this coupled system are presented. In the main part, existence of weak solutions is proven and degenerate limits are investigated.

About the authors

Christian Heinemann earned his doctoral degree at the Humboldt-Universit├Ąt zu Berlin under the supervision of Prof. Dr. J├╝rgen Sprekels and Dr. Christiane Kraus. He is a member of the research staff at the Young Scientists' Group at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin.

Christiane Kraus is a leader of the Young Scientists' Group at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin.

Table of contents (8 chapters)

  • Introduction

    Heinemann, Christian (et al.)

    Pages 1-7

  • Mathematical preliminaries

    Heinemann, Christian (et al.)

    Pages 9-34

  • PDE modeling and thermodynamic consistency

    Heinemann, Christian (et al.)

    Pages 35-50

  • Cahn-Hilliard systems with polynomial chemical potentials coupled with damage processes and homogeneous elasticity

    Heinemann, Christian (et al.)

    Pages 51-90

  • Cahn-Hilliard systems with logarithmic chemical potentials coupled with damage processes and inhomogeneous elasticity

    Heinemann, Christian (et al.)

    Pages 91-117

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-658-05252-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-658-05251-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Phase Separation Coupled with Damage Processes
Book Subtitle
Analysis of Phase Field Models in Elastic Media
Authors
Copyright
2014
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-658-05252-2
DOI
10.1007/978-3-658-05252-2
Softcover ISBN
978-3-658-05251-5
Edition Number
1
Number of Pages
XII, 173
Number of Illustrations and Tables
1 b/w illustrations, 10 illustrations in colour
Topics