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

Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media
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Dewey Class 515
Title Phase Separation Coupled with Damage Processes ([Ebook]) : Analysis of Phase Field Models in Elastic Media / by Christian Heinemann, Christiane Kraus.
Author Heinemann, Christian
Added Personal Name Kraus, Christiane
Other name(s) SpringerLink (Online service)
Publication Wiesbaden Springer Fachmedien Wiesbaden 2014.
Physical Details XII, 173 pages:. 11 illus., 10 illus. in color. : online resource.
ISBN 9783658052522
Summary Note 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 Applied Analysis and Stochastics in Berlin.:
Contents note Modeling of Phase Separation and Damage Processes -- Notion of Weak Solutions -- Existence of Weak Solutions -- Degenerate Limit.
System details note Online access to this digital book is restricted to subscription institutions and access ia available through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-658-05252-2
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