1.

Record Nr.

UNINA9910299960903321

Autore

Heinemann Christian

Titolo

Phase Separation Coupled with Damage Processes : Analysis of Phase Field Models in Elastic Media / / by Christian Heinemann, Christiane Kraus

Pubbl/distr/stampa

Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2014

ISBN

3-658-05252-X

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (177 p.)

Collana

Research (Springer Spektrum) Phase separation coupled with damage processes

Classificazione

510

SK 950

ZM 3900

Disciplina

660.3

Soggetti

Mathematical analysis

Analysis (Mathematics)

Mathematical physics

Metals

Analysis

Mathematical Physics

Metallic Materials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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.