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math.AP2026
Variational derivation of the Flamant solution for a nonlinear elastic wedge
Dominik Engl, Paul Plucinsky, Ian Tobasco
Concentrated forces acting at the tip of a two-dimensional wedge give rise to the classical Flamant solution to linear elasticity, whose displacement and strain are singular at the…
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…