Top-level heading

Quasistatic evolution models for thin plates in perfect plasticity

Categoria
Seminari di Analisi Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker

Maria Giovanna Mora (Università di Pavia)

In this talk I shall discuss the rigorous derivation of a quasistatic evolution model for a thin plate in the framework of Prandtl-Reuss plasticity via Gamma-convergence techniques. The limiting model has a genuinely three-dimensional nature, unless specific data are prescribed. In particular, the stretching and bending components of the stress decouple only in the equilibrium condition, while the whole stress is involved in the stress constraint and in the flow rule. I shall also present an ad hoc notion of stress-strain duality, which allows one to write a strong formulation of the flow rule in the limit problem. This is based on a joint work with Elisa Davoli (Carnegie Mellon University).