Nonlinear Peridynamic Models

Data Seminario: 
Ora Inizio: 
Ora Fine: 
G. Coclite
Politecnico di Bari

Some materials may naturally form discontinuities such as cracks as a result of scale effects and long range interactions. Peridynamic models such behavior introducing
a new nonlocal framework for the basic equations of continuum mechanics. In this
lecture we consider a nonlinear peridynamic model and discuss its well-posedness in suitable fractional Sobolev spaces. 
Those results were obtained in collaboration with S. Dipierro (Milano), F. Maddalena (Bari) and E. Valdinoci (Milano).