Large displacements of shells including material nonlinearities

DOI10.1016/0045-7825(81)90149-3zbMath0474.73092OpenAlexW2049306179MaRDI QIDQ1159019

H. Parisch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90149-3

zbMATH Keywords

large deflectionsupdated Lagrangian formulationtotal Lagrangiandegenerated shell elementselasto-plastic material behavioursimple 4 node quadrilateral

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15)

Related Items (11)

Numerical analysis of viscoplastic axisymmetric shells based on a hybrid strain finite element ⋮ Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element ⋮ A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures ⋮ A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains ⋮ One point quadrature shell elements for sheet metal forming analysis ⋮ A general theory of finite deformation of viscoplastic thin shells ⋮ Geometrically non-linear static analysis of functionally graded material shells with a discrete double directors shell element ⋮ Geometrically Exact Nonlinear Extended-Reissner/Mindlin Shells: Fundamentals, Finite Element Formulation, Elasticity ⋮ A new shell element accounting for through-thickness deformation ⋮ A general, geometrically linear theory of inelastic thin shells ⋮ Finite deformation formulation of a shell element for problems of sheet metal forming

Cites Work

• Extensions to the elastoplastic analysis with the Aska program system
• A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration
• On the large strain inelastic analysis in natural formulation. I: Quasistatic problems
• On the large strain inelastic analysis in natural formulation. II. Dynamic problems
• Natural description of large inelastic deformations for shells of arbitrary shape - Application of TRUMP element
• Geometrical nonlinear analysis of shells
• A geometric and material nonlinear plate and shell element
• A simple and efficient finite element for plate bending
• A simple quadrilateral shell element
• A study of quadrilateral plate bending elements with ‘reduced’ integration
• Solution techniques for non−linear finite element problems
• A continuum‐based shell theory for non‐linear applications
• Improved numerical integration of thick shell finite elements
• Reduced integration technique in general analysis of plates and shells
• A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems
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