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Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid

URN to cite this document:
urn:nbn:de:bvb:355-epub-109853
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 27 Nov 2009 06:50


Abstract

We consider a fully practical finite element approximation of the degenerate Cahn-Hilliard equation with elasticity: Find the conserved order parameter, $\theta(x, t)\in [-1, 1]$, and the displacement field, $\underline u(x, t)\in \Bbb R^2$, such that $$\gamma\frac{\partial\theta}{\partial t}=\nabla\cdot (b(\theta)\nabla [-\gamma\Delta\theta + \gamma^{-1}\Psi'(\theta) + \tfrac 12 c' (\theta){\cal ...

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