A unified analysis for stress/strain hybrid methods of high performance.
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Publication:1867607
DOI10.1016/S0045-7825(02)00396-1zbMath1039.74052MaRDI QIDQ1867607
Publication date: 2 April 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
convergencePoisson's ratiorank conditionPian-Sumihara elementChen-Cheung elementenergy compatibilityPiltner-Taylor elementweakly locking-free error estimates
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- A convergence condition for the quadrilateral Wilson element
- Finite element method based on combination of ``saddle point variational formulations
- A variational principle and the convergence of a finite-element method based on assumed stress distribution
- Combined hybrid approach to finite element schemes of high performance
- Rational approach for assumed stress finite elements
- An efficient formulation of hexahedral elements with high accuracy for bending and incompressibility
- A rational approach for choosing stress terms for hybrid finite element formulations
- Alternative ways for formulation of hybrid stress elements
- Linear Finite Element Methods for Planar Linear Elasticity
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems
- A robust refined quadrilateral plane element
- A quadrilateral mixed finite element with two enhanced strain modes
- Stability and Convergence of a Class of Enhanced Strain Methods
- 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
- A minimal stabilisation procedure for mixed finite element methods
