21 citations · 170 across the 35 of their papers we have counts for
3 papers · 2 filters
Discrete-to-continuum linearization in atomistic dynamics
Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli
In the stationary case, atomistic interaction energies can be proved to -converge to classical elasticity models in the simultaneous atomistic-to-continuum and linearization lim…
Geometric rigidity on Sobolev spaces with variable exponent and applications
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argume…
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We derive a dimension-reduction limit for a three-dimensional rod with material voids by means of -convergence. Hereby, we generalize the results of the purely elastic setting […