7 citations · 13 across the 9 of their papers we have counts for
10 papers
Nondegenerate gradient Young measures and dimension reduction for nonlinear membranes
Gokul G. Nair, David Padilla-Garza, Marco Picchi Scardaoni
We consider the rigorous derivation of membrane theories from three-dimensional nonlinear elasticity. A salient feature of our framework is the inclusion of an orientation-preserva…
Energy scaling laws for thin elastic sheets with topological defects
Raz Kupferman, Cy Maor, David Padilla-Garza
We derive energy scaling laws for thin elastic sheets with topological defects --- disclinations and dislocations --- for a fully nonlinear 3D model. For disclinations, the scaling…
The Willmore energy and curvature concentration
Raz Kupferman, Cy Maor, David Padilla-Garza
We study isometric immersions of a Riemannian surface , where , into . We consider their bending energy, i.e., the square of the…
Commutativity and non-commutativity of limits in the nonlinear bending theory for prestrained microheterogeneous plates
Klaus Boehnlein, Lucas Bouck, Stefan Neukamm +2
In this paper we study the derivation of nonlinear bending models for prestrained elastic plates from three-dimensional non-linear elasticity via homogenization and dimension reduc…
Plate theory for metric-constrained actuation of liquid crystal elastomer sheets
Lucas Bouck, David Padilla-Garza, Paul Plucinsky
Liquid crystal elastomers (LCEs) marry the large deformation response of a cross-linked polymer network with the nematic order of liquid crystals pendent to the network. Of particu…
Gradient Flow Solutions For Porous Medium Equations with Nonlocal Lévy-type Pressure
Guy Foghem, David Padilla-Garza, Markus Schmidtchen
We study a porous medium-type equation whose pressure is given by a nonlocal Lévy operator associated to a symmetric jump Lévy kernel. The class of nonlocal operators under conside…
A homogenized bending theory for prestrained plates
Klaus Böhnlein, Stefan Neukamm, David Padilla-Garza +1
The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a pro…
A nonlinear bending theory for nematic LCE plates
Sören Bartels, Max Griehl, Stefan Neukamm +2
In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the b…
New links between PDE's and Voronoi patterns
Yuriria Cortes-Poza, David Padilla-Garza, Pablo Padilla
This paper presents a range of results in partial differential equations (PDEs) in which Voronoi patterns arise. We investigate the connection between the solution to an elliptic e…
An Asymptotic Variational Problem Modeling a Thin Elastic Sheet on a Liquid, Lifted at One End
David Padilla-Garza
We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gr…