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Cahn-Hilliard systems coupled with complete damage processes and homogeneous elasticity

Christian Heinemann () and Christiane Kraus ()
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Christian Heinemann: Weierstrass Institute for Applied Analysis and Stochastics
Christiane Kraus: Weierstrass Institute for Applied Analysis and Stochastics

Chapter 7 in Phase Separation Coupled with Damage Processes, 2014, pp 145-161 from Springer

Abstract: Abstract This chapter combines the approach from Chapter 4 with the ideas from the preceding chapter. More specifically, we are going to investigate existence of weak solutions for complete damage systems which are coupled with degenerating Cahn-Hilliard equations. The diffusion mobility tensor depends on the damage variable and vanishes when the damage is maximal. Therefore, we have two degenerating terms in the resulting system: the elastic energy density and the mobility tensor.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-658-05252-2_7

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DOI: 10.1007/978-3-658-05252-2_7

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