Variational analysis of inextensible elastic curves
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
2022Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences14 citationsDOIOpen Access PDF
Abstract
We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange multipliers’ method. Finally, some examples arising from the applications are discussed and also numerical experiments are presented.
Topics & Concepts
MathematicsVariational analysisMathematical analysisClassical mechanicsPhysicsAdvanced Numerical Analysis TechniquesAdvanced Mathematical Modeling in EngineeringElasticity and Material Modeling