1 citations · 1 across the 4 of their papers we have counts for
7 papers
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…
Derivation of a variational model for brittle fracture from a random heterogeneous particle chain
Laura Lauerbach, Anja Schlömerkemper
A mathematical continuum limit of the interaction energy of a random particle chain is shown to yield new insight into the effect of microscopic heterogeneities on macroscopic frac…
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids
Francesco De Anna, Joshua Kortum, Anja Schlömerkemper
In this work we investigate the existence and uniqueness of Struwe-like solutions for a system of partial differential equations modeling the dynamics of magnetoviscoelastic fluids…
Mechanical behaviour of heterogeneous nanochains in the -limit of stochastic particle systems
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
Nanochains of atoms, molecules and polymers have gained recent interest in the experimental sciences. This article contributes to an advanced mathematical modeling of the mechanica…
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
Martin Kalousek, Joshua Kortum, Anja Schlömerkemper
The paper is concerned with the analysis of an evolutionary model for magnetoviscoelastic materials in two dimensions. The model consists of a Navier-Stokes system featuring a depe…
External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
Marcello Carioni, Julian Fischer, Anja Schlömerkemper
This paper is concerned with equilibrium configurations of one-dimensional particle system with non-convex nearest-neighbour and next-to-nearest-neighbour interactions and its pass…