91 citations · 230 across the 15 of their papers we have counts for
8 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…
Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials
Martin Jesenko, Bernd Schmidt
We prove a homogenization result for Hencky plasticity functionals with non-convex potentials. We also investigate the influence of a small hardening parameter and show that homoge…
Existence and Convergence of Solutions of the Boundary Value Problem in Atomistic and Continuum Nonlinear Elasticity Theory
Julian Braun, Bernd Schmidt
We show existence of solutions for the equations of static atomistic nonlinear elasticity theory on a bounded domain with prescribed boundary values. We also show their convergence…
A Griffith-Euler-Bernoulli theory for thin brittle beams derived from nonlinear models in variational fracture mechanics
Bernd Schmidt
We study a planar thin brittle beam subject to elastic deformations and cracks described in terms of a nonlinear Griffith energy functional acting on deformations of the beam…