\( \Gamma \)-convergence of a discrete Kirchhoff rod energy
DOI10.1051/COCV/2024043zbMATH Open1544.49007MaRDI QIDQ6582309
Martin Jesenko, Patrick W. Dondl, Coffi Aristide Hounkpe
Publication date: 2 August 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Discrete approximations in optimal control (49M25)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Deformation of framed curves with boundary conditions
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- A discrete, geometrically exact method for simulating nonlinear, elastic and inelastic beams
- Numerical solution of a bending-torsion model for elastic rods
- Extensional \textit{Elastica} in large deformation as \(\Gamma \)-limit of a discrete 1D mechanical system
- A simple scheme for the approximation of the elastic flow of inextensible curves
- A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria
- Discrete elastica
- There is More than One Way to Frame a Curve
- Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof
- Euler elastica as a Γ-limit of discrete bending energies of one-dimensional chains of atoms
- Variational convergence of discrete elasticae
- On the Gamma-convergence of some polygonal curvature functionals
Related Items (1)
This page was built for publication: \( \Gamma \)-convergence of a discrete Kirchhoff rod energy
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6582309)