2 papers
math.AP2025
Homogenization of rate-independent elastoplastic spring network models with non-local random fields
Simone Hermann
We investigate the time-evolution of elastoplastic materials reinforced by randomly distributed long-range interactions. Starting from a rate-independent system on a discrete sprin…
math.AP2024
Non-local homogenization limits of discrete elastic spring network models with random coefficients
Patrick Dondl, Martin Heida, Simone Hermann
This work examines a discrete elastic energy system with local interactions described by a discrete second-order functional in the symmetric gradient and additional non-local rando…