2 papers
math.AP2022
A continuum model for brittle nanowires derived from an atomistic description by -convergence
Bernd Schmidt, Jiří Zeman
Starting from a particle system with short-range interactions, we derive a continuum model for the bending, torsion, and brittle fracture of inextensible rods moving in three-dimen…
math.AP2022
A bending-torsion theory for thin and ultrathin rods as a -limit of atomistic models
Bernd Schmidt, Jiří Zeman
The purpose of this note is to establish two continuum theories for the bending and torsion of inextensible rods as -limits of 3D atomistic models. In our derivation we study si…