2 papers
math.AP2026
Derivation of variational membrane models in the context of anisotropic nonlocal hyperelasticity
Dominik Engl, Anastasia Molchanova, Hidde Schönberger
Motivated by the analysis of thin structures, we study the variational dimension reduction of hyperelastic energies involving nonlocal gradients to an effective membrane model. Whe…
math.AP2024
Linearization in magnetoelasticity
Stefano Almi, Martin KružÃk, Anastasia Molchanova
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously…