A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS

DOI<2789::AID-NME976>3.0.CO;2-J 10.1002/(SICI)1097-0207(19960830)39:16<2789::AID-NME976>3.0.CO;2-JzbMath0873.73067OpenAlexW2012598699MaRDI QIDQ4344931

O. J. B. Almeida Pereira, José Paulo Baptista Moitinho de Almeida

Publication date: 9 November 1997

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960830)39:16<2789::aid-nme976>3.0.co;2-j

zbMATH Keywords

self-equilibrated three-dimensional stress approximation functionsvolume integrations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Unnamed Item, Restraining approach for the spurious kinematic modes in hybrid equilibrium element, Efficient integration method for fictitious domain approaches, A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics, A traction-based equilibrium finite element free from spurious kinematic modes for linear elasticity problems, The stability of stars of simplicial hybrid equilibrium finite elements for solid mechanics, Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity, The stability of stars of triangular equilibrium plate elements, Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis, Dual adaptive finite element refinement for multiple local quantities in linear elastostatics, An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods, Hybrid equilibrium hexahedral elements and super‐elements, Adaptive methods for hybrid equilibrium finite element models, Recovery of equilibrium on star patches using a partition of unity technique, Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

• Unnamed Item
• A powerful finite element for plate bending
• Basis for development of large finite elements locally satisfying all field equations
• Basis for isoparametric stress elements
• Three-dimensional hybrid-stress isoparametric quadratic displacement elements
• Variational formulation of two complementary hybrid‐Trefftz FE models
• Basis of finite element methods for solid continua