The \(p\)-version of finite element method for shell analysis

DOI10.1007/BF00350722zbMath0836.73068OpenAlexW2025508706MaRDI QIDQ1904908

R. Guttal, Jacob Fish

Publication date: 14 January 1996

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350722

zbMATH Keywords

quadrature schemedisplacement- based hierarchical shell elementshierarchical assumed strain elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items (11)

Integration by table look-up for \(p\)-version finite elements on curved tetrahedra ⋮ A straightforward structure to construct shape functions for variable \(p\)-order meshes ⋮ A scaled boundary shell element formulation using Neumann expansion ⋮ Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements ⋮ Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. I: Hierarchical modeling and approximations ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) ⋮ Hierarchical composite grid method for global-local analysis of laminated composite shells ⋮ Error estimates and adaptive finite element methods ⋮ 3D-basedhp-adaptive first-order shell finite element for modelling and analysis of complex structures—Part 1: The model and the approximation ⋮ Computational aspects of incrementally objective algorithms for large deformation plasticity ⋮ Geometry representation issues associated with \(p\)-version finite element computations

Cites Work

• Unnamed Item
• Stress projection for membrane and shear locking in shell finite elements
• The hierarchical basis multigrid method
• An implementation of thehp-version of the finite element method for Reissner-Mindlin plate problems
• A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
• Hierarchic plate and shell models based onp-extension
• Thep-Version of the Finite Element Method
• p‐version hierarchical three dimensional curved shell element for elastostatics
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• New basis functions and computational procedures for p‐version finite element analysis
• A fast method of numerical quadrature for p‐version finite element matrices
• Stress computations for nearly incompressible materials by the p‐version of the finite element method

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