[Dottorcomp] REMINDER: METaL Seminars, Matteo Negri, 30/10/2025, 14.30-15.30, Aula Beltrami

[Siam Student Chapter]

Dear all,

This is a gentle reminder about the first* METal Seminar** - Mathematics &
Engineering Talks and Lectures*, on *October 30th, *from *14:30 to 15:30 *at
the Department of Mathematics in Aula Beltrami.

*Upcoming seminar:*

   - *Speaker*: Matteo Negri - Professor at University of Pavia


   - *Title*: * From Energy Functionals to cracks: bridging analysis and
   computation in phase-field fracture*


   - *Where and when*:  October 30th, *14.30-15.30*, Aula Beltrami,
   Department of Mathematics, University of Pavia.


   - *Abstract: * We present a general approach for quasi-static and
   dynamic fracture propagation based on energy functionals. Quasi-static
   (steady-state) evolutions are governed by energy identity and equilibrium,
   with respect to displacement and crack variations. We present these basic
   ingredients and the resulting system of evolution equations for a toy
   sharp-crack model and then for a phase-field model. In the latter case the
   evolution is computed by means of constrained incremental problems, which
   we solve using a staggered algorithm. Consistency between sharp and
   phase-field approaches is supported by Γ-convergence and numerical
   simulations, however the overall theoretical and computational picture is
   far from being complete and raises open problems on convergence of
   energies, algorithms and evolutions. For dynamic problems, evolutions are
   governed by energy identity and equilibrium (as in quasi-static) together
   with stationary action. Again, we compute phase-field evolutions by a
   staggered scheme where the wave equation is solved by a Newmark method, in
   a way that numerical dissipation is negligible; as a result simulations
   feature energy conservation and a precise representation of P- and S-waves.
   In this setting, high order phase-field energies turn out to be crucial to
   reduce the computational cost without compromising accuracy.

We also remind you the *following *METaL Seminar, by *Antonio Maria
D'Altri,* University of Bologna, on November 19th, *11.00-12.00*, Sala
Conferenze, IMATI - CNR, title: *Computational Analysis of Masonry and
Heritage Structures: recent advances across different scales.*

We look forward to your participation!

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Sincerely,

SIAM Chapter Organization Committee
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