5 citations · 6 across the 4 of their papers we have counts for
4 papers
Size effects on quasistatic growth of fractures
Alessandro Giacomini
We perform an analysis of the size effect for quasistatic growth of fractures in linearly isotropic elastic bodies under antiplanar shear. In the framework of the variational model…
A discontinuous finite element approximation of quasi-static growth of brittle fractures
A. Giacomini, M. Ponsiglione
We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and b…
Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures
Alessandro Giacomini
We define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evol…
Multi-peak solutions for a class of degenerate elliptic equations
Alessandro Giacomini, Marco Squassina
By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth c…