Cahn-Hilliard systems with polynomial chemical potentials coupled with 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 4 in Phase Separation Coupled with Damage Processes, 2014, pp 51-90 from Springer

Abstract: Abstract The present chapter covers certain existence results for Calm-Hilliard equations which are coupled with elasticity and partial damage processes (see Definition 3.4.1). We assume a binary mixture, a polynomial growth condition for the chemical potential, a homogeneous elastic energy density (with respect to the chemical concentration) and a p-Laplacian with p> nin the differential inclusion for the damage propagation law.

Keywords: Weak Solution; Variational Inequality; Growth Assumption; Energetic Solution; Homogeneous Elasticity (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-658-05252-2_4

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DOI: 10.1007/978-3-658-05252-2_4

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