2.1k citations · 3k across the 62 of their papers we have counts for
67 papers
Eigendamage: an Eigendeformation model for the variational approximation of cohesive fracture in antiplane shear deformations
Veronika Auer-Volkmann, Lisa Beck, Bernd Schmidt
We set up and investigate an approximation scheme for a variational theory of cohesive fracture in antiplane shear deformations. We consider a family of functionals acting on scala…
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…
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…
A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
Mario Santilli, Bernd Schmidt
We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within th…
Stability of Objective Structures: General Criteria and Applications
Bernd Schmidt, Martin Steinbach
We develop a general stability analysis for objective structures, which constitute a far reaching generalization of crystal lattice systems. We show that these particle systems, al…
Korn type Inequalities for Objective Structures
Bernd Schmidt, Martin Steinbach
We establish discrete Korn type inequalities for particle systems within the general class of objective structures that represents a far reaching generalization of crystal lattice…