[Dottorcomp] Seminari di Matematica Applicata. Martedì 16 febbraio, Dott. Filippo Riva

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F.
Casorati" e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 16 febbraio 2021, alle ore 15 precise, il Dott. Filippo Riva
(Università di Pavia) terrà un seminario online dal titolo:

On a rate-independent damage model for hybrid laminates with cohesive interface.

Il seminario si terrà su Zoom al link:
https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

Meeting ID: 875 1813 7128
Passcode: 880047

Abstract:
Rate-independence is the property of a system whose behaviour is
preserved by time-reparametrisations. In the framework of mechanical
systems this feature is possessed by many different models, assuming
that the acting forces are so slow that inertia can be neglected. In
this setting, the term quasistatic is also adopted to denote the fact
that the system evolves, thus it is not static, but the evolution is
not driven by inertia and thus it cannot be dynamic. In this talk I
will present a quasistatic damage model for two bars glued together
and subjected to a horizontal loading; we assume the adhesive
interface connecting the two layers follows a cohesive law.
The approach is based on a phase-field description of the
(irreversible) damage variable and on the nowadays consolidated
concept of (globally stable) energetic evolution introduced by Mielke,
Roubicek and Theil to deal with quasistatic problems. Due to the
presence of the cohesive zone, compactness mathematical issues usually
lead to the introduction of a fictitious variable replacing the
physical one which represents the maximal opening of the interface
displacement reached during the evolution. I will illustrate a novel
strategy which allows to recover the equivalence between the
fictitious and the real variable under general loading-unloading
regimes. The argument is based on temporal regularity of energetic
evolutions, achieved by means of a careful balance between the
convexity of the elastic energy of the layers and the natural
concavity of the cohesive energy of the interface.
This is a joint work with E. Bonetti, C. Cavaterra and F. Freddi.

Pagina web dei Seminari di matematica applicata:
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/

Cordiali saluti,
Stefano Lisini.