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Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media
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Catalogue Record 29620
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Catalogue Information
Field name
Details
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
Links to Related Works
Subject References:
Analysis
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Global analysis (Mathematics)
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Materials
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Mathematical Physics
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Mathematics
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Metallic Materials
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Authors:
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Heinemann, Christian
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Kraus, Christiane
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515
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515 (DDC 23)
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