Francesco Solombrino per i Seminari Generali dell'IAC скачать в хорошем качестве

Francesco Solombrino per i Seminari Generali dell'IAC

Abstract In this talk we derive a strain-gradient theory for plasticity as the Γ-limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horizon fractional gradient introduced by Bellido, Cueto, and Mora-Corral of 2023, we consider a nonlocal model of semi-discrete dislocations, in which the stored elastic energy is computed via the fractional gradient of order 1 − α. As α goes to 0, we show that suitably rescaled energies Γ-converge to the macroscopic strain-gradient model of Garroni, Leoni, and Ponsiglione of 2010. This is a joint work with Stefano Almi (Università degli Studi di Napoli “Federico II”), Maicol Caponi (Università degli studi dell’Aquila), and Manuel Friedrich (FAU Erlangen-Nurnberg).