D. Henao

collaborators

3 papers

math.AP2026

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…

math.AP2026

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, $Î´= R/L \to 0…

math.AP2024

The positivity of the Jacobian in the weak limit of generalised axisymmetric maps

Panas Kalayanamit, Duvan Henao

Let $(u_{j})_{j}$ be a sequence of maps in $W^{1, 2} (I^c ◯; R^{3})$ , where $I^c ◯$ is a domain in $R^{3}$ . When can we conclude that its weak limit $u$ has non-negative Jacobian a.…