4 papers
Structured deformations for energies with general surface terms
Davide Donati, Manuel Friedrich
We develop a variational theory of structured deformations for energies whose surface densities satisfy general growth conditions. This requires a formulation in the generalised sp…
-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation
Gianni Dal Maso, Davide Donati
We study the -convergence of sequences of free discontinuity functionals with linear growth defined in the space of functions with bounded deformation. We prove a com…
A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation
Gianni Dal Maso, Davide Donati
We associate to every function a measure with values in the space of symmetric matrices, which generalises the distributional symmetric gradient defined fo…
Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms
Gianni Dal Maso, Davide Donati
The results on -limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework,…