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101 0 $aeng
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181   $ctxt
182   $cc
183   $acr
200 10$aPhase Separation Coupled with Damage Processes $eAnalysis of Phase Field Models in Elastic Media /$fby Christian Heinemann, Christiane Kraus
205   $a1st ed. 2014.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2014.
215   $a1 online resource (177 p.) 
225 0 $aResearch (Springer Spektrum) Phase separation coupled with damage processes 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-658-05251-1 
320   $aIncludes bibliographical references.
327   $aModeling of Phase Separation and Damage Processes -- Notion of Weak Solutions -- Existence of Weak Solutions -- Degenerate Limit.
330   $aThe 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.
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aMathematical physics
606   $aMetals
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aMetallic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z16000
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aMathematical physics.
615  0$aMetals.
615 14$aAnalysis.
615 24$aMathematical Physics.
615 24$aMetallic Materials.
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686   $aSK 950$2rvk
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700   $aHeinemann$b Christian$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721207
702   $aKraus$b Christiane$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910299960903321
996   $aPhase Separation Coupled with Damage Processes$92540394
997   $aUNINA