activity
20122024
most citedModeling and simulation of nematic LCE rods

2 citations · 3 across the 7 of their papers we have counts for

collaborators

15 papers

math.AP2024

Dimension reduction for elastoplastic rods in the bending regime

Stefan Neukamm, Kai Richter

We rigorously derive an effective bending model for elastoplastic rods starting from three-dimensional finite plasticity. For the derivation we lean on a framework of evolutionary…

math.NA2022

Representative volume element approximations in elastoplastic spring networks

Sabine Haberland, Patrick Jaap, Stefan Neukamm +2

We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evol…

math.AP20222 cited

Modeling and simulation of nematic LCE rods

Sören Bartels, Max Griehl, Jakob Keck +1

We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic en…

math.AP2022

A nonlinear bending theory for nematic LCE plates

Sören Bartels, Max Griehl, Stefan Neukamm +2

In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the b…

math.AP2021

Onset of fracture in random heterogeneous particle chains

Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1

In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying…

math.AP2021

Quantitative stochastic homogenization of nonlinearly elastic, random laminates

Stefan Neukamm, Mathias Schäffner, Mario Varga

In this paper we study quantitative stochastic homogenization of a nonlinearly elastic composite material with a laminate microstructure. We prove that for deformations close to th…