Discretization of stress fields in the finite element method

DOI10.1016/0016-0032(76)90032-6zbMath0352.73061OpenAlexW2050984590MaRDI QIDQ1236026

K. Appert

Publication date: 1976

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: http://orbi.ulg.ac.be/handle/2268/205840

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 (12)

STRESS- AND ROTATION-BASED HIERARCHIC MODELS FOR LAMINATED COMPOSITES ⋮ Dual-mixed hp finite element model for elastic cylindrical shells ⋮ Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity ⋮ On the stress function approach in three-dimensional elasticity ⋮ Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells ⋮ Analysis of weakly symmetric mixed finite elements for elasticity ⋮ The stability of stars of triangular equilibrium plate elements ⋮ Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes ⋮ Analysis of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm ⋮ Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm: Applications ⋮ Complementary energy method for cylindrical shells using second order stress functions ⋮ Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity

Cites Work

• A conforming finite element for plate bending
• A new variational principle for finite elastic displacements
• Variational principles and the patch test
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