A simple finite element for elastic-plastic deformations of shells

DOI10.1016/0045-7825(82)90100-1zbMath0559.73079OpenAlexW2085634906MaRDI QIDQ2265874

Demosthenes Talaslidis, Gerald A. Wempner

Publication date: 1982

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(82)90100-1

zbMATH Keywords

convergencedisplacement formulationquadrilateral elementpositive-definite matrixHu-Washizu functionalelastoplastic shellselimination of strains and stressesindependent approximations of all basic variablesnumerical tests upon plates and shellsproperties of the elemental matrices

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Numerical and other methods in solid mechanics (74S99)

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Reduction of excessive energy in the four-noded membrane quadrilateral element. II: Near incompressibility and \(J_{2}\) plasticity ⋮ The linear isoparametric triangular element: Theory and application ⋮ A simple finite element for elastic-plastic deformations of shells ⋮ Reduction of excessive energy in the four-noded membrane quadrilateral element. I: Linear theory -- compressible materials

Cites Work

• Natural description of large inelastic deformations for shells of arbitrary shape - Application of TRUMP element
• Nonlinear analysis of elasto-plastic shells by hybrid stress finite elements
• A simple finite element for elastic-plastic deformations of shells
• A new variational principle for finite elastic displacements
• A large deformation formulation for shell analysis by the finite element method
• Elastoplastic thick shell analysis by viscoplastic solid finite elements
• Static and dynamic analysis of kirchhoff shells based on a mixed finite element formulation
• Numerical Methods for the Limit Analysis of Plates