Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
From MaRDI portal
Publication:2516443
DOI10.1007/s00466-015-1158-xzbMath1329.74162arXiv1410.7913OpenAlexW2121413515WikidataQ106129380 ScholiaQ106129380MaRDI QIDQ2516443
Peter Hansbo, Mats G. Larson, Fredrik Larsson
Publication date: 3 August 2015
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7913
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15)
Related Items (6)
Numerical simulations of nearly incompressible viscoelastic membranes ⋮ A unified finite strain theory for membranes and ropes ⋮ Reissner-Mindlin shell theory based on tangential differential calculus ⋮ Kirchhoff-Love shell theory based on tangential differential calculus ⋮ Higher-order meshing of implicit geometries. II: Approximations on manifolds ⋮ A Nitsche method for elliptic problems on composite surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element modeling of a linear membrane shell problem using tangential differential calculus
- Hyperelastic large deformations of two-phase composites with membrane-type interface
- An algorithm for evolutionary surfaces
- On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
- Nonlinear finite element analysis of shells. I. Three-dimensional shells
- A consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic rubberlike material
- A triangular finite shell element based on a fully nonlinear shell formulation
- A boundary differential equation for thin shells
- Computational methods for form finding and optimization of shells and membranes
- Variational formulation of curved beams in global coordinates
- A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
- Modeling and discretization errors in hyperelasto-(visco-)plasticity with a view to hierarchical modeling
- Shell curvature as an initial deformation: A geometrically exact finite element approach
- Erratum
- Numerical Evaluation of Surface Integrals in Three Dimensions
- Nonlinear Continuum Mechanics for Finite Element Analysis
This page was built for publication: Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem