Finite element methods for the stretching and bending of thin structures with folding
From MaRDI portal
Publication:6644039
DOI10.1007/S00211-024-01442-7MaRDI QIDQ6644039
Diane Guignard, Angelique Morvant, Andrea Bonito
Publication date: 27 November 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Plates (74K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Plates with incompatible prestrain
- Energy scaling laws for conically constrained thin elastic sheets
- Discontinuous Galerkin methods for the \(p\)-biharmonic equation from a discrete variational perspective
- Metric-induced wrinkling of a thin elastic sheet
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- Mathematical aspects of discontinuous Galerkin methods.
- Elastic theory of unconstrained non-Euclidean plates
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- Rigorous derivation of nonlinear plate theory and geometric rigidity
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- LDG approximation of large deformations of prestrained plates
- Confining thin elastic sheets and folding paper
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Modeling and simulation of thin sheet folding
- Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
- A Finite Element Method for Second Order Nonvariational Elliptic Problems
- Scaling laws for non-Euclidean plates and theW2,2isometric immersions of Riemannian metrics
- Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Geometry, analysis, and morphogenesis: Problems and prospects
- DG approach to large bending plate deformations with isometry constraint
- Numerical analysis of the LDG method for large deformations of prestrained plates
- Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks
- Error estimates for a linear folding model
This page was built for publication: Finite element methods for the stretching and bending of thin structures with folding
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6644039)