Abstract Let Ω⊂ R 3 be an open and bounded set with Lipschitz boundary and outward unit
normal ν. For 1< p<∞ we establish an improved version of the generalized L p-Korn …

In this paper we prove a compactness and semicontinuity result in GSBD for sequences with
bounded Griffith energy. This generalises classical results in (G) SBV by Ambrosio [1, 2, 4] …

We prove that any function in GSBD^ p (Ω) GSBD p (Ω), with Ω Ω an-dimensional open
bounded set with finite perimeter, is approximated by functions u_k ∈ SBV (Ω; R^ n) ∩ L^ ∞ …

For 1< p<∞, we prove an L p‐version of the generalized Korn inequality for incompatible
tensor fields P in W 0 1, p (Curl; Ω, ℝ 3× 3). More precisely, let Ω⊂ ℝ 3 be a bounded …

We extend the results about the existence of minimizers, relaxation, and approximation
proven by Bonnetier and Chambolle (SIAM J Appl Math 62: 1093–1121, 2002), Chambolle …

We prove that special functions of bounded deformation with small jump set are close in
energy to functions which are smooth in a slightly smaller domain. This permits to generalize …

In this paper we continue the study of the Griffith brittle fracture energy minimisation under
Dirichlet boundary conditions, suggested by Francfort and Marigo (J Mech Phys Solids 46 …

In this paper we prove a two-dimensional existence result for a variational model of crack
growth for brittle materials in the realm of linearized elasticity. Starting with a time-discretized …

In this paper we prove a regularity and rigidity result for displacements in GSBD p, for every
p> 1 and any dimension n≥ 2. We show that a displacement in GSBD p with a small jump …

This monograph concerns the analytical and geometrical questions emerging from the study
of thin elastic films exhibiting residual stress at free equilibria. Prestressed thin films are …