We prove a stability result for a large class of unilateral minimality properties which arise
naturally in the theory of crack propagation proposed by Francfort & Marigo in [14]. Then we …

We study the Γ-convergence of sequences of free-discontinuity functionals depending on
vector-valued functions u which can be discontinuous across hypersurfaces whose shape …

We analyze the $\Gamma $-convergence of sequences of free-discontinuity functionals
arising in the modeling of linear elastic solids with surface discontinuities, including …

We propose a new Γ-convergent discrete approximation of the Mumford–Shah functional.
The discrete functionals act on functions defined on stationary stochastic lattices and take …

We prove that the Ciarlet–Nečas non-interpenetration of matter condition can be extended to
the case of deformations of hyperelastic brittle materials belonging to the class of special …

Second-order structured deformations of continua provide an extension of the multiscale
geometry of first-order structured deformations by taking into account the effects of …

This paper deals with fracture mechanics in periodically perforated domains. Our aim is to
provide a variational model for brittle porous media in the case of anti-planar elasticity …

The main result of this paper is a compactness theorem for families of functions in the space
SBV (Special functions of Bounded Variation) defined on periodically perforated domains …

We examine the asymptotic behavior of a bilayer thin film using the notion of Γ-convergence.
We allow for debonding at the interface, but penalize it using an interfacial energy; thus the …

We describe multiscale geometrical changes via structured deformations (g, G) and the non-
local energetic response at a point x via a function Ψ of the weighted averages of the jumps …