Simultaneous analysis of continuously embedded Reissner-Mindlin shells in 3D bulk domains
DOI10.1002/NME.7495zbMATH Open1545.65434MaRDI QIDQ6589331
Michael Wolfgang Kaiser, Thomas-Peter Fries
Publication date: 19 August 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
level-set methodReissner-Mindlin shellPDEs on manifoldsbulk trace FEMhigher-order convergence studies
Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) 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) PDEs in connection with mechanics of deformable solids (35Q74) Isogeometric methods applied to problems in solid mechanics (74S22)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Finite element modeling of a linear membrane shell problem using tangential differential calculus
- A hierarchic family of isogeometric shell finite elements
- Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Isogeometric shell analysis with Kirchhoff-Love elements
- On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
- An improvement of a recent Eulerian method for solving PDEs on general geometries
- Eulerian finite element method for parabolic PDEs on implicit surfaces
- Finite element approximation of elliptic partial differential equations on implicit surfaces
- Stress projection for membrane and shear locking in shell finite elements
- The small free vibrations and deformation of a thin elastic shell.
- Treatment of Reissner-Mindlin shells with Kinks without the need for drilling rotation stabilization in an isogeometric framework
- Incompressible fluid problems on embedded surfaces: modeling and variational formulations
- An adaptive octree finite element method for PDEs posed on surfaces
- An extended isogeometric thin shell analysis based on Kirchhoff-love theory
- A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
- A boundary differential equation for thin shells
- Tangential differential equations for dynamical thin/shallow shells
- Reissner-Mindlin shell theory based on tangential differential calculus
- Kirchhoff-Love shell theory based on tangential differential calculus
- An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy
- A \(C^1\)-continuous trace-finite-cell-method for linear thin shell analysis on implicitly defined surfaces
- A unified finite strain theory for membranes and ropes
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Isogeometric collocation for the Reissner-Mindlin shell problem
- Higher-order meshing of implicit geometries. II: Approximations on manifolds
- Cut finite element modeling of linear membranes
- Fourth order partial differential equations on general geometries
- Variational formulation of curved beams in global coordinates
- Error-bounds for finite element method
- Trace finite element methods for PDEs on surfaces
- A higher order finite element method for partial differential equations on surfaces
- Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations
- Shapes and Geometries
- The Finite Element Analysis of Shells - Fundamentals
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- An h-narrow band finite-element method for elliptic equations on implicit surfaces
- Fundamental considerations for the finite element analysis of shell structures
- A Finite Element Method for the Surface Stokes Problem
- Theory of Shell Structures
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- A stabilized finite element method for advection-diffusion equations on surfaces
- Finite element methods for surface PDEs
- Variational problems and partial differential equations on implicit surfaces
- On the simultaneous solution of structural membranes on all level sets within a bulk domain
- A higher-order trace finite element method for shells
Related Items (1)
This page was built for publication: Simultaneous analysis of continuously embedded Reissner-Mindlin shells in 3D bulk domains
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6589331)
