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Phase Separation Coupled with Damage Processes : Analysis of Phase Field Models in Elastic Media / by Christian Heinemann, Christiane Kraus.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Heinemann, Christian., Author.
- Kraus, Christiane., Author.
- Series:
- Research (Springer Spektrum) Phase separation coupled with damage processes
- Language:
- English
- Subjects (All):
- Mathematical analysis.
- Analysis (Mathematics).
- Mathematical physics.
- Metals.
- Analysis.
- Mathematical Physics.
- Metallic Materials.
- Local Subjects:
- Analysis.
- Mathematical Physics.
- Metallic Materials.
- Physical Description:
- 1 online resource (177 p.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2014.
- Language Note:
- English
- Summary:
- 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:
- Modeling of Phase Separation and Damage Processes
- Notion of Weak Solutions
- Existence of Weak Solutions
- Degenerate Limit.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- Ph. D. Humboldt-Universität zu Berlin 2013.
- ISBN:
- 3-658-05252-X
- OCLC:
- 875897154
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