14 citations · 19 across the 12 of their papers we have counts for
15 papers
A Lavrentiev phenomenon in the neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
We exhibit a Lavrentiev gap phenomenon for the neo-Hookean energy in three-dimensional nonlinear elasticity. More precisely, we construct boundary data for which the infimum of the…
Dimension reduction for gradient damage models in slender rods
E. Bonnetier, D. Henao, V. Ramos
This paper presents a method for reducing a three-dimensional gradient damage model to a one-dimensional model for slender rods (with a small radius-to-length ratio, …
The positivity of the Jacobian in the weak limit of generalised axisymmetric maps
Panas Kalayanamit, Duvan Henao
Let be a sequence of maps in , where is a domain in . When can we conclude that its weak limit has non-negative Jacobian a.e.…
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…