On the use of deep, shallow or flat shell finite elements for the analysis of thin shell structures

DOI10.1016/0045-7825(81)90120-1zbMath0461.73062OpenAlexW2076154133MaRDI QIDQ1152741

S. H. Smith

Publication date: 1981

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

Full work available at URL: https://www.scipedia.com/public/Idelsohn_1981a

zbMATH Keywords

general deep shell theoryshallow shell theoriessimplifications

Mathematics Subject Classification ID

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

Related Items (13)

Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element ⋮ On the assumed displacement fields of a shallow curved shell finite element ⋮ Nonlinear thin shell finite element with six degrees of freedom per node ⋮ Approximation of general shell problems by flat plate elements. III: Extension to triangular curved facet elements ⋮ Approximation of general shell problems by flat plate elements. II: Addition of a drilling degree of freedom ⋮ An efficient 4‐node 24 D.O.F. thick shell finite element with 5‐point quadrature ⋮ An assumed strain triangular solid shell element with bubble function displacements for analysis of plates and shells ⋮ An assumed strain triangular curved solid shell element formulation for analysis of plates and shells undergoing finite rotations ⋮ Nonlinear thin shell analysis using a curved triangular element ⋮ Unnamed Item ⋮ A geometrically nonlinear curved shell element with constant stress resultants ⋮ Stress projection for membrane and shear locking in shell finite elements ⋮ Thermomechanical coupling in folded plates and non-smooth shells

Cites Work

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• A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration
• High-order triangular finite element for shell analysis
• A curved finite element for thin elastic shells
• A family of conforming finite elements for deep shell analysis
• Application of Ritz’s Method to Thin Elastic Shell Analysis

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