We present regularity results for the crack set of a minimizer for the Griffith fracture energy,
arising in the variational modeling of brittle materials. In the planar setting, we prove an …

A new proof of compactness in G(S)BD Skip to content Should you have institutional access?
Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD - Dollar EN English …

We present a quantitative geometric rigidity estimate in dimensions d D 2; 3 generalizing the
celebrated result by Friesecke, James, and Müller [Comm. Pure Appl. Math. 55 (2002), 1461 …

We prove a compactness and semicontinuity result that applies to minimisation problems in
nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a …

Brittle fracture in linearly elastic plates Page 1 Proceedings of the Royal Society of Edinburgh,
153, 68–103, 2023 DOI:10.1017/prm.2021.71 Brittle fracture in linearly elastic plates Stefano …

We study an atomistic model that describes the microscopic formation of material voids
inside elastically stressed solids under an additional curvature regularization at the discrete …

In this paper we prove an integral representation formula for a general class of energies
defined on the space of generalized special functions of bounded deformation (GSBD p) in …

We study the regularity of local minimisers of a prototypical free-discontinuity problem
involving both a manifold-valued constraint on the maps (which are defined on a bounded …

An integral representation result for free-discontinuity energies defined on the space GSBV
p (·) of generalized special functions of bounded variation with variable exponent is proved …

We analyse the-convergence of general non-local convolution type functionals with varying
densities depending on the space variable and on the symmetrized gradient. The limit is a …