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SUMMARY:Phase-field modeling of brittle fracture
DTSTART:20201112T121500
DTEND:20201112T131500
DTSTAMP:20260428T033421Z
UID:b6f837656490a2eaa8b0af28cdc5650dd62633fa4170d540685a4aef
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Laura de Lorenzis of ETH Zürich\nAbstract: The phase-f
 ield modeling approach to fracture has recently attracted a lot of attenti
 on due to its remarkable capability to naturally handle fracture phenomena
  with arbitrarily complex crack topologies in three dimensions. On one sid
 e\, the approach can be obtained through the regularization of the variati
 onal approach to fracture introduced by Francfort and Marigo in 1998\, whi
 ch is conceptually related to Griffith’s view of fracture\; on the other
  side\, it can be constructed as a gradient damage model with some specifi
 c properties. The functional to be minimized is not convex\, so that the n
 ecessary stationarity conditions of the functional may admit multiple solu
 tions. The solution obtained in an actual computation is typically one out
  of several local minimizers. Evidence of multiple solutions induced by sm
 all perturbations of numerical or physical parameters was occasionally rec
 orded but not explicitly investigated in the literature.\nIn the first par
 t of this talk\, the speaker gives a brief overview of the phase-field app
 roach to fracture and of recent related research carried out in her group.
  In the second part of the talk\, the focus is placed on the issue of mult
 iple solutions. Here a paradigm shift is advocated\, away from the search 
 for one particular solution towards the simultaneous description of all po
 ssible solutions (local minimizers)\, along with the probabilities of thei
 r occurrence. We propose the stochastic relaxation of the variational brit
 tle fracture problem through random perturbations of the functional and in
 troduce the concept of stochastic solution represented by random fields. I
 n the numerical experiments\, we use a simple Monte Carlo approach to comp
 ute approximations to such stochastic solutions. The final result of the c
 omputation is not a single crack pattern\, but rather several possible cra
 ck patterns and their probabilities. The stochastic solution framework usi
 ng evolving random fields allows additionally the interesting possibility 
 of conditioning the probabilities of further crack paths on intermediate c
 rack patterns.
LOCATION:http://swissmechseminars.ch https://ethz.zoom.us/j/94817809233?pw
 d=N0pzbnQwSFFTQnVPcVR3SkNrd29OQT09
STATUS:CONFIRMED
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