43 citations · 87 across the 19 of their papers we have counts for
3 papers · 1 filter
Derivation of as the continuum limit of crystalline slip
Celia Reina, Anja Schlömerkemper, Sergio Conti
In this paper we provide a proof of the multiplicative kinematic description of crystal elastoplasticity in the setting of large deformations, i.e. $\mathbf{F}=\mathbf{F}^e\mathbf{…
Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires
G. Lazzaroni, M. Palombaro, A. Schlömerkemper
In the context of nanowire heterostructures we perform a discrete to continuum limit of the corresponding free energy by means of -convergence techniques. Nearest neighbours are…
On Lennard-Jones systems with finite range interactions and their asymptotic analysis
Mathias Schäffner, Anja Schlömerkemper
The aim of this work is to provide further insight into the qualitative behavior of mechanical systems that are well described by Lennard-Jones type interactions on an atomistic sc…