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Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media

Phase Separation Coupled with Damage Processes: Analysis of Phase Field Models in Elastic Media

Paperback

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3658052511
ISBN13: 9783658052515
Publisher: Springer Nature
Published: Apr 7 2014
Pages: 173
Weight: 0.51
Height: 0.40 Width: 5.83 Depth: 8.27
Language: English

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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