Least-squares finite element formulation for shear-deformable shells

DOI10.1016/j.cma.2004.07.041zbMath1096.74052OpenAlexW1977323846MaRDI QIDQ817311

J. N. Reddy, J. P. Pontaza

Publication date: 8 March 2006

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2004.07.041

zbMATH Keywords

variational formulation\(hp\) method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25)

Related Items (4)

Localization and regularization behavior of mixed finite elements for 2D structural problems with damaging material ⋮ Robustness of hierarchical laminated shell element based on equivalent single-layer theory ⋮ A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures ⋮ Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures

Cites Work

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• Space-time coupled spectral/\(hp\) least-squares finite element formulation for the incompressible Navier-Stokes equations
• Hierarchic finite elements for thin Naghdi shell model
• Finite elements based on a first-order shear deformation moderate rotation shell theory with applications to the analysis of composite structures
• Scale resolution, locking, and high-order finite element modelling of shells
• A locking-free finite element method for Naghdi shells
• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• Shell deformation states and the finite element method: A benchmark study of cylindrical shells
• Least-squares finite element approximations for the Reissner-Mindlin plate
• Mixed plate bending elements based on least-squares formulation
• A formulation of general shell elements—the use of mixed interpolation of tensorial components
• Membrane locking and assumed strain shell elements
• Finite Element Methods of Least-Squares Type
• Fundamental considerations for the finite element analysis of shell structures
• Basis Functions for Triangular and Quadrilateral High-Order Elements
• On the membrane locking of h–p finite elements in a cylindrical shell problem
• A benchmark study of reduced-strain shell finite elements: quadratic schemes
• The least-squares finite element method in elasticity. Part II: Bending of thin plates
• Development of geometrically exact new shell elements based on general curvilinear co-ordinates
• An Introduction to Nonlinear Finite Element Analysis
• A curved, cylindrical-shell, finite element.
• Locking-free finite element methods for shells

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