A new mixed variational approach for Kirchhoff shells and \(C^0\) discretization with finite element exterior calculus
DOI10.1016/j.cma.2024.117351MaRDI QIDQ6641888
J. N. Reddy, [[Person:6092220|Author name not available (Why is that?)]], Arun R. Srinivasa, Debasish Roy
Publication date: 21 November 2024
Published in: (Search for Journal in Brave)
differential formsfinite element exterior calculusHu-Washizu variational principleCartan's moving frameKirchhoff shells
Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) Variational principles of physics (49S05) Applications of differential geometry to engineering (53Z30)
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?)
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Geometric decompositions and local bases for spaces of finite element differential forms
- Isogeometric shell analysis with Kirchhoff-Love elements
- An introduction to differential geometry with applications to elasticity
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Nonlinear analysis of laminates through a Mindlin-type shear deformable shallow shell element
- Cauchy's theorem on manifolds
- Nonlinear higher-order shell theory for incompressible biological hyperelastic materials
- A mixed variational principle in nonlinear elasticity using Cartan's moving frames and implementation with finite element exterior calculus
- Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements
- Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem
- Finite rotation three and four nodes shell elements for functionally graded carbon nanotubes-reinforced thin composite shells analysis
- Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures
- On the geometric character of stress in continuum mechanics
- A conforming finite element for plate bending
- A novel four-field mixed FE approximation for Kirchhoff rods using Cartan's moving frames
- Four-node mixed Hu-Washizu shell element with drilling rotation
- From Frenet to Cartan: The Method of Moving Frames
- Mixed models and reduced/selective integration displacement models for nonlinear shell analysis
- Hybrid strain based three node flat triangular shell elements—II. Numerical investigation of nonlinear problems
- Plate bending elements with discrete constraints: New triangular elements
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- A large deformation solid-shell concept based on reduced integration with hourglass stabilization
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- An investigation of a finite rotation four node assumed strain shell element
- A simple quadrilateral shell element
- Geometrically nonlinear formulation for the curved shell elements
- A class of mixed assumed strain methods and the method of incompatible modes
- A hybrid/mixed model for non‐linear shell analysis and its applications to large‐rotation problems
- Reduced integration technique in general analysis of plates and shells
- A mixed method for 3D nonlinear elasticity using finite element exterior calculus
- Improving efficiency and robustness of enhanced assumed strain elements for nonlinear problems
This page was built for publication: A new mixed variational approach for Kirchhoff shells and \(C^0\) discretization with finite element exterior calculus
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6641888)