Abstract
In this work, we have investigated mathematical models describing both phenomena, phase separation and damage processes, in a unifying approach. Phase separation is modeled by elastic Cahn-Hilliard equations, whereas the damage processes are described by a doubly nonlinear differential inclusion. The forces are assumed to be in a quasi-static equilibrium. We have introduced the corresponding PDE model (1.1)-(1.2) in Chapter 3 and we have shown thermodynamic consistency. The main aim has been to prove existence of weak solutions of the coupled system for various types of free energy densities of the form (1.3). The damage dissipation potential is rate-dependent and specified by (1.4).
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© 2014 Springer Fachmedien Wiesbaden
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Heinemann, C., Kraus, C. (2014). Conclusion. In: Phase Separation Coupled with Damage Processes. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-05252-2_8
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DOI: https://doi.org/10.1007/978-3-658-05252-2_8
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Publisher Name: Springer Spektrum, Wiesbaden
Print ISBN: 978-3-658-05251-5
Online ISBN: 978-3-658-05252-2
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