3 papers
math.NA2026
Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation
Pierluigi Cesana, Edoardo Fabbrini, Andrés A. León Baldelli +1
We present a numerical formulation for the resolution of finite systems of interacting edge dislocations and wedge disclinations. The approach is based on a finite element discreti…
math.OC2025
Variational formulation of planar linearized elasticity with incompatible kinematics
Pierluigi Cesana, Edoardo Fabbrini, Marco Morandotti
We present a variational characterization of mechanical equilibrium in the planar strain regime for systems with incompatible kinematics. For non-simply connected domains, we show…
math.AP2025
Kinematically incompatible Föppl-von Kármán plates: analysis and numerics
Edoardo Fabbrini, Andrés Alessandro León Baldelli, Pierluigi Cesana
We investigate thin plates where out-of-plane deformations arise due to membrane kinematic incompatibility of rotational type, specifically Volterra wedge disclinations, which are…