2 papers
math.AP2024
Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities
Dominik Engl, Carolin Kreisbeck, Marco Morandotti
Lower semicontinuity of surface energies in integral form is known to be equivalent to BV-ellipticity of the surface density. In this paper, we prove that BV-ellipticity coincides…
math.AP2023
A variational perspective on auxetic metamaterials of checkerboard-type
Wolf-Patrick Düll, Dominik Engl, Carolin Kreisbeck
The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of phy…