Mixed variational methods for finite element analysis of geometrically non-linear, inelastic Bernoulli-Euler beams

DOI10.1002/cnm.622zbMath1154.74387OpenAlexW2033452063MaRDI QIDQ4434562

K. D. Hjelmstad, Ertugrul Taciroglu

Publication date: 10 November 2003

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.622

zbMATH Keywords

finite elementsbeam theoryHu-Washizumixed variational principlesHellinger-Reissnerframe analysisnon-linear flexibility methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Complementary mixed finite element formulations for elastoplasticity
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• Rational approach for assumed stress finite elements
• On the Variational Foundations of Assumed Strain Methods
• Mixed and Hybrid Finite Element Methods
• Mixed formulation of nonlinear beam finite element
• A class of mixed assumed strain methods and the method of incompatible modes