3 papers
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…
cond-mat.soft2025
Derivation of an effective plate theory for parallelogram origami from bar and hinge elasticity
Hu Xu, Ian Tobasco, Paul Plucinsky
Periodic origami patterns made with repeating unit cells of creases and panels bend and twist in complex ways. In principle, such soft modes of deformation admit a simplified asymp…
math.OC2024
Sharpness and non-sharpness of occupation measure bounds for integral variational problems
Giovanni Fantuzzi, Ian Tobasco
We analyze two recently proposed methods to establish a priori lower bounds on the minimum of general integral variational problems. The methods, which involve either `occupation m…