Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media - Softcover

Heinemann, Christian; Kraus, Christiane

 
9783658052515: Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media
Softcover
ISBN 10: 3658052511 ISBN 13: 9783658052515
Publisher: Springer Spektrum, 2014

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Christian Heinemann earned his doctoral degree at the Humboldt-Universität zu Berlin under the supervision of Prof. Dr. Jürgen 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.

From the Back Cover

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.

Contents

  • Modeling of Phase Separation and Damage Processes
  • Notion of Weak Solutions
  • Existence of Weak Solutions
  • Degenerate Limit

Target Groups

  • Researchers, academics and scholars in the field of (applied) mathematics
  • Material scientists in the field of modeling damaging processes

The Authors

Christian Heinemann earned his doctoral degree at the Humboldt-Universität zu Berlin under the supervision of Prof. Dr. Jürgen 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 AppliedAnalysis and Stochastics in Berlin.

"About this title" may belong to another edition of this title.

Publisher
Springer Spektrum
Publication date
2014
Language
English
ISBN 10 
3658052511
ISBN 13 
9783658052515
Binding
Paperback
Number of pages
185