Phase-field Topology Optimization and applications to plasticity and microstructures

Stefano Almi (U Napoli)

Dec 14. 2023, 11:00 — 11:45

I will present two applications of the phase-field approach to Topology Optimization. First, I will focus on optimal material distribution for a time-evolving elastoplastic medium subjected to kinematic hardening. I will show the existence of optimal configurations and compute their first-order optimality conditions. The latter is obtained by subsequent approximations, where a time discretization and a regularization of the flow rule are considered. In the second part of the talk, I will present a phase-field model for the optimal distribution of periodic microstructures in an elastic material. Besides showing existence of solutions and optimality conditions, I will discuss the convergence to a sharp-interface and homogenized problem, obtained in the limit as the phase-field parameters and the microstructures periodicity tend to 0.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
New perspective on Shape and Topology Optimization (Workshop)
Organizer(s):
Elisa Davoli (TU Vienna)
Idriss Mazari-Fouquer (CEREMADE, Paris)
Kevin Sturm (TU Vienna)