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Institute of Mathematics

Seminar Scientific Computing (Prof. Giuseppe Maria Coclite)

Nonlinear Peridynamic Models
Date: 06/13/2024, 9:30 AM - 11:00 AM
Category: Veranstaltung
Location: Hubland Nord, Geb. 30, 30.02.003
Organizer: Lehrstuhl für Mathematik IX (Wissenschaftliches Rechnen)
Speaker: Prof. Giuseppe Maria Coclite, PhD


Some materials may naturally exhibit  singularity phenomena  such as cracks or other manifestations as a result of scale effects and long range interactions.  Peridynamic theory 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 qualitative properties and well-posedness in suitable fractional Sobolev spaces.

Those results were obtained in collaboration with A. Coclite (Bari), N. Dimola (Milano), S. Dipierro (Perth), G. Fanizza (Casamassima), L. Lopez (Bari), F. Maddalena (Bari), S. F. Pellegrino (Bari), T. Politi (Bari), and E. Valdinoci (Perth).

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