03930nam 22006975 450 991029996090332120200701215227.03-658-05252-X10.1007/978-3-658-05252-2(CKB)3710000000095074(OCoLC)875897154(CaPaEBR)ebrary10855646(SSID)ssj0001187426(PQKBManifestationID)11664927(PQKBTitleCode)TC0001187426(PQKBWorkID)11256470(PQKB)10493574(MiAaPQ)EBC1698388(DE-He213)978-3-658-05252-2(PPN)177822503(EXLCZ)99371000000009507420140324d2014 u| 0engurcnu||||||||txtccrPhase Separation Coupled with Damage Processes Analysis of Phase Field Models in Elastic Media /by Christian Heinemann, Christiane Kraus1st ed. 2014.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2014.1 online resource (177 p.) Research (Springer Spektrum) Phase separation coupled with damage processes Bibliographic Level Mode of Issuance: Monograph3-658-05251-1 Includes bibliographical references.Modeling of Phase Separation and Damage Processes -- Notion of Weak Solutions -- Existence of Weak Solutions -- Degenerate Limit.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.Mathematical analysisAnalysis (Mathematics)Mathematical physicsMetalsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Metallic Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/Z16000Mathematical analysis.Analysis (Mathematics).Mathematical physics.Metals.Analysis.Mathematical Physics.Metallic Materials.660.3510sdnbSK 950rvkZM 3900rvkHeinemann Christianauthttp://id.loc.gov/vocabulary/relators/aut721207Kraus Christianeauthttp://id.loc.gov/vocabulary/relators/autBOOK9910299960903321Phase Separation Coupled with Damage Processes2540394UNINA