31 citations · 103 across the 9 of their papers we have counts for
10 papers
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxati…
On the lack of compactness in the axisymmetric neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
We provide a fine description of the weak limit of sequences of regular axisymmetric maps with equibounded neo-Hookean energy, under the assumption that they have finite surface en…
Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
We consider the problem of minimizing the neo-Hookean energy in \(3D\). The difficulty of this problem is that the space of maps without cavitation is not compact, as shown by Cont…
Symmetry of minimizers of a Gaussian isoperimetric problem
Marco Barchiesi, Vesa Julin
We study an isoperimetric problem described by a functional that consists of the standard Gaussian perimeter and the norm of the barycenter. This second term has a repulsive effect…
Toughening by crack deflection in the homogenization of brittle composites with soft inclusions
Marco Barchiesi
We present a simple example of toughening mechanism in the homogenization of composites with soft inclusions, produced by crack deflection at microscopic level. We show that the me…
Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality
Marco Barchiesi, Vesa Julin
We provide a sharp quantitative version of the Gaussian concentration inequality: for every , the difference between the measure of the -enlargement of a given set and the…