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Existence of homeomorphic minimizers via mappings of finite distortion in compressible magnetoelasticity
Shilpa Dutta, Anja Schlömerkemper
We establish the existence of an energy minimizer for a variational model of compressible magnetoelastic solids. The analysis is carried out in a new admissible class of deformatio…
A study of ferronematic thin films including a stray field energy
Shilpa Dutta, James Dalby, Apala Majumdar +1
Ferronematic materials are colloidal suspensions of magnetic particles in liquid crystals. They are complex materials with potential applications in display technologies, sensors,…
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…