Published Paper

Inserted: 2 nov 2015
Last Updated: 19 dec 2017

Journal: Mathematical Models and Methods in Applied Sciences (M3AS)
Volume: 27
Number: 9
Pages: 1743-1794
Year: 2017

Abstract:

We consider time-discrete evolutions for a phase field model (for fracture and damage) obtained by alternate minimization schemes. First, we characterize their time-continuous limit in terms of parametrized BV-evolutions, introducing a suitable family of “intrinsic energy norms”. Further, we show that the limit evolution satisfies Griffith’s criterion, for a phase field energy release, and that the irreversibility constraint is thermodynamically consistent.

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