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Phase Separation Coupled with Damage Processes

Analysis of Phase Field Models in Elastic Media

Christian Heinemann, Christiane Kraus

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Springer Fachmedien Wiesbaden GmbH img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

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.

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Schlagwörter

Damage Processes, Field Models in Elastic Media, Existence of Weak Solutions, Cahn-Hilliard equations, Doubly Nonlinear Differential Inclusions, Modeling of Phase Separation