EVENTI
Mercoledì 24 aprile 2024, alle ore 16:00 in aula Seminari, il Dott. Maicol Caponi del Dipartimento di Matematica e Applicazioni "Renato Caccioppoli" della Federico II di Napoli terrà un seminario dal titolo:
Abstract: In this talk we derive a strain gradient theory for plasticity as the Gamma-limit of discrete dislocation fractional energies, without the introduction of the core radius. By using the finite horizon fractional gradient of Bellido, Cueto, and Mora-Corral of 2023, we introduce a nonlocal model of discrete dislocations, in which the stored elastic energy is computed via the fractional gradient of order 1-alpha. As alpha goes to 0, we show that the rescaled energies Gamma-converge to the macroscopic strain gradient model of Garroni, Leoni, and Ponsiglione of 2010.
This is a joint work with Stefano Almi (Università di Napoli “Federico II"), Manuel Friedrich (FAU Erlangen-Nürnberg), and Francesco Solombrino (Università di Napoli “Federico II").
Ref. Dott. Alessandro Carbotti