Penalty-equilibrating approach and an innovative formulation of 4-noded hybrid stress elements

DOI<707::AID-CNM4>3.0.CO;2-K 10.1002/(SICI)1099-0887(199611)12:11<707::AID-CNM4>3.0.CO;2-KzbMath0862.73069OpenAlexW2019680897MaRDI QIDQ5689766

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Publication date: 26 May 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199611)12:11<707::aid-cnm4>3.0.co;2-k

zbMATH Keywords

equilibrium constraintsmembrane element of Pian and Sumihara

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements
• A unified approach to mixed finite element methods: Application to in- plane problems
• Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
• A theorem regarding the locking of tapered four-noded membrane elements
• Rational approach for assumed stress finite elements
• A robust quadrilateral membrane finite element with drilling degrees of freedom
• A rational approach for choosing stress terms for hybrid finite element formulations
• On stress interpolation for hybrid models
• A class of mixed assumed strain methods and the method of incompatible modes
• New strategy for assumed stresses for 4‐node hybrid stress membrane element