2 papers
math.AP2025
Dimension reduction for time-dependent von Kármán rods
Federico Cianci, Bernd Schmidt
This paper aims to study the convergence of solutions in three-dimensional nonlinear elastodynamics for a thin rod as its cross section shrinks to zero for displacements that are c…
math.AP2024
A derivation of the time dependent von Kármán equations from atomistic models
David Buchberger, Bernd Schmidt
We derive the time-dependent von Kármán plate equations from three dimensional, purely atomistic particle models. In particular, we prove that a thin structure of interacting par…