Phase separation coupled with damage processes : analysis of phase field models in elastic media

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Title:

Personal Author:

Heinemann, Christian, author

Series:

Research (Springer Spektrum)

Publication Information:

Wiesbaden : Springer Spektrum, 2014

Physical Description:

xii, 172 pages : illustrations ; 22 cm.

ISBN:

9783658052515

Abstract:

"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"

Subject Term:

Separation of variables

Differential equations, Partial

Solder and soldering -- Mathematical models

Elasticity

Added Author:

Kraus, Christiane,

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010340555	QA377 H45 2014	Open Access Book	Book	Searching... Unknown

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Summary

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.

Author Notes

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.