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Phase Separation Coupled with Damage Processes

Analysis of Phase Field Models in Elastic Media

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  • © 2014

Overview

  • Publication in the field of natural sciences
  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

Keywords

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.

Authors and Affiliations

  • Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Christian Heinemann, Christiane Kraus

About 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 Applied Analysis and Stochastics in Berlin.

Bibliographic Information

  • Book Title: Phase Separation Coupled with Damage Processes

  • Book Subtitle: Analysis of Phase Field Models in Elastic Media

  • Authors: Christian Heinemann, Christiane Kraus

  • DOI: https://doi.org/10.1007/978-3-658-05252-2

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Fachmedien Wiesbaden 2014

  • Softcover ISBN: 978-3-658-05251-5Published: 07 April 2014

  • eBook ISBN: 978-3-658-05252-2Published: 24 March 2014

  • Edition Number: 1

  • Number of Pages: XII, 173

  • Number of Illustrations: 1 b/w illustrations, 10 illustrations in colour

  • Topics: Analysis, Mathematical Physics, Metallic Materials

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