Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements

DOI10.1007/s10483-011-1396-6zbMath1366.74002OpenAlexW2014015338MaRDI QIDQ623300

Tongshan Li, Dongdong Wang, Can-hui Zhang

Publication date: 14 February 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1396-6

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) Stress (74A10)

Cites Work

• An analysis of, and remedies for, kinematic modes in hybrid-stress finite elements: selection of stable, invariant stress fields
• Mixed-hybrid finite element approximations of second-order elliptic boundary value problems. Part 2: Weak-hybrid methods
• Admissible matrix formulation -- from orthogonal approach to explicit hybrid stabilization
• The stress subspace of hybrid stress element and the diagonalization method for flexibility matrix \(H\)
• Deformation rigidity of assumed stress modes in hybrid elements
• On the suppression of zero energy deformation modes
• Rational approach for assumed stress finite elements
• A rational approach for choosing stress terms for hybrid finite element formulations
• A three‐dimensional multilayer composite finite element for stress analysis of composite laminates
• THE NONCONFORMING ELEMENT METHOD AND REFINED HYBRID ELEMENT METHOD FOR AXISYMMETRIC SOLID
• Classification of stress modes in assumed stress fields of hybrid finite elements
• Hybrid and Incompatible Finite Element Methods

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