Theoretical basis and general optimal formulations of isoparametric generalized hybrid/mixed element model for improved stress analysis

DOI10.1007/BF02486805zbMath0788.73078MaRDI QIDQ4280245

Wu Zhang

Publication date: 26 May 1994

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceorthogonality constraintscoordinate invariancestress equilibriumdistortion insensitivitymodified three-field Hu-Washizu principle

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)

Related Items (1)

Computational aspects of disturbed state constitutive models

Cites Work

• Relations between incompatible displacement model and hybrid stress model
• A new approach for the hybrid element method
• Consistency condition and convergence criteria of incompatible elements: General formulation of incompatible functions and its application
• Isoparametric hybrid hexahedral elements for three dimensional stress analysis
• A rational approach for choosing stress terms for hybrid finite element formulations
• Alternative ways for formulation of hybrid stress elements
• A new formulation of hybrid/mixed finite element
• Numerical stability and constitution analysis of λ‐type incompatible elements
• Improved formulations of Qcs6 hybrid element for enhancing computational efficiency
• A non-conforming element for stress analysis
• Incompatible quadrilateral basis functions

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