1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2019
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…
math.AP2017★ 1 cited
The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores
Julian Braun, Maciej Buze, Christoph Ortner
In linearised continuum elasticity, the elastic strain due to a straight dislocation line decays as , where denotes the distance to the defect core. It is shown in E…
math.AP2016
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…