91 citations · 231 across the 19 of their papers we have counts for
4 papers · 1 filter
Energy minimising configurations of pre-strained multilayers
Miguel de Benito Delgado, Bernd Schmidt
We investigate energetically optimal configurations of thin structures with a pre-strain. Depending on the strength of the pre-strain we consider a whole hierarchy of effective pla…
An atomistic derivation of von-Kármán plate theory
Julian Braun, Bernd Schmidt
We derive von-Kármán plate theory from three dimensional, purely atomistic models with classical particle interaction. This derivation is established as a -limit when considerin…
A hierarchy of multilayered plate models
Miguel de Benito Delgado, Bernd Schmidt
We derive a hierarchy of plate theories for heterogeneous multilayers from three dimensional nonlinear elasticity by means of -convergence. We allow for layers composed of diffe…
Surface energy and boundary layers for a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small…