11 papers
Approximation of symmetric total variation on point clouds
Stefano Almi, Anna Kubin, Emanuele Tasso
The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite differenc…
Besicovitch-Federer projection theorem for measures
Emanuele Tasso
In this paper we prove a Besicovitch-Federer type projection theorem for general finite Borel measures in . Assuming only that the conditional measures along typical…
Effective theories for incompressible magnetoelastic shallow shells
Emanuele Tasso, Tobias Unterberger
We characterize the asymptotic behaviour, in the sense of -convergence, of a thin magnetoelastic shallow shell. The compactness is achieved up to rigid motions. For deformations…
Non-local non-homogeneous phase transitions: regularity of optimal profiles and sharp-interface limit
Elisa Davoli, Emanuele Tasso
We provide a novel sharp-interface analysis via Gamma-convergence for a non-local and non-homogeneous diffuse-interface model for phase transitions, featuring an interplay between…
On De Giorgi's Conjecture of Nonlocal approximations for free-discontinuity problems: The symmetric gradient case
Stefano Almi, Elisa Davoli, Anna Kubin +1
We prove that E. De Giorgi's conjecture for the nonlocal approximation of free-discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient…
Generalized bounded deformation in non-Euclidean settings
Stefano Almi, Emanuele Tasso
We introduce a new space of generalized functions of bounded deformation , made of functions u whose one-dimensional slice has bounded variation in a ge…
A general criterion for jump set slicing and applications
Stefano Almi, Emanuele Tasso
In this paper a novel criterion for the slicing of the jump set of a function is provided, which bypasses the codimension-one and the parallelogram law techniques developed in …
Rectifiability of a class of integralgeometric measures and applications
Emanuele Tasso
We resolve a long-standing open problem posed by Federer concerning the rectifiability of the integral geometric measure with exponent p >1, thereby settling a question that has pe…
A new proof of compactness in G(S)BD
Stefano Almi, Emanuele Tasso
We prove a compactness result in GBD which also provides a new proof of the compactness theorem in GSBD, due to Chambolle and Crismale [5, Theorem 1.1]. Our proof is based on a Fré…
Brittle fracture in linearly elastic plates
Stefano Almi, Emanuele Tasso
In this work we derive by Gamma-convergence techniques a model for brittle fracture linearly elastic plates. Precisely, we start from a brittle linearly elastic thin film with posi…
Energy-dissipation balance of a smooth moving crack
Maicol Caponi, Ilaria Lucardesi, Emanuele Tasso
In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover…