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math.AP2024
Nonlocal-to-local limit in linearized viscoelasticity
Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli
We study the quasistatic evolution of a linear peridynamic Kelvin-Voigt viscoelastic material. More specifically, we consider the gradient flow of a nonlocal elastic energy with re…
math.AP2023
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…