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

Heinemann, Christian; Kraus, Christiane

Softcover

ISBN 10: 3658052511 ISBN 13: 9783658052515

Verlag: Springer Spektrum, 2014

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Springer Spektrum
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3658052511
• ISBN 13: 9783658052515
• Einband: Taschenbuch
• Anzahl der Seiten: 188
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland