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Christian Heinemann & Christiane Kraus 
Phase Separation Coupled with Damage Processes 
Analysis of Phase Field Models in Elastic Media

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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.

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Table of Content

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

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.
Language English ● Format PDF ● Pages 173 ● ISBN 9783658052522 ● File size 4.0 MB ● Publisher Springer Fachmedien Wiesbaden GmbH ● City Wiesbaden ● Country DE ● Published 2014 ● Downloadable 24 months ● Currency EUR ● ID 3043638 ● Copy protection Social DRM

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