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.

Convergence of alternate minimization schemes for phase field fracture and damage

NEGRI, MATTEO
;
2017-01-01

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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1181036
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 19
social impact