Classification of stress modes in assumed stress fields of hybrid finite elements

DOI<4313::AID-NME259>3.0.CO;2-N 10.1002/(SICI)1097-0207(19971215)40:23<4313::AID-NME259>3.0.CO;2-NzbMath0893.73060OpenAlexW2073808082MaRDI QIDQ4365970

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Publication date: 22 July 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19971215)40:23<4313::aid-nme259>3.0.co;2-n

zbMATH Keywords

necessary and sufficient conditionrigid-body modeskinematic deformation modesnatural deformation modesoptimal stress matrixthree-dimensional 8-node solid elementtwo-dimensional 4-node plane elementzero-energy mode group

Mathematics Subject Classification ID

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

Related Items (11)

A mixed solid-shell element for the analysis of laminated composites ⋮ On reduced integration and locking of flat shell finite elements with drilling rotations ⋮ A novel versatile multilayer hybrid stress solid-shell element ⋮ An optimal versatile partial hybrid stress solid-shell element for the analysis of multilayer composites ⋮ Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements ⋮ The stress subspace of hybrid stress element and the diagonalization method for flexibility matrix \(H\) ⋮ A partial hybrid stress solid-shell element for the analysis of laminated composites ⋮ Two hybrid stress membrane finite element families with drilling rotations ⋮ Deformation rigidity of assumed stress modes in hybrid elements ⋮ Extension of field consistence approach into developing plane stress elements. ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

• State-of-the-art development of hybrid/mixed finite element method
• On optimization approaches of hybrid stress elements
• Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements
• 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
• On the suppression of zero energy deformation modes
• Relations between incompatible displacement model and hybrid stress model
• 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
• Control of spurious mechanisms for 20‐node and transition sub‐integrated hexahedral elements
• A PARTIAL HYBRID DEGENERATED PLATE/SHELL ELEMENT FOR THE ANALYSIS OF LAMINATED COMPOSITES
• Basis of finite element methods for solid continua

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