Beam section stiffness properties usig 3D finite elements

Philippe Couturier, Steen Krenk, Jan Becker Høgsberg

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The cross-section properties of a beam is characterized by a six by six stiffness matrix, relating the six generalized strains to the conjugate section forces. The problem is formulated as a single-layer finite element model of a slice of the beam, on which the six deformation modes are imposed via Lagrange multipliers. The Lagrange multipliers represent the constraining forces, and thus combine to
form the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.
Original languageEnglish
Title of host publicationProceedings of the 26th Nordic Seminar on Computational Mechanics
EditorsA. Logg, K.A. Mardal
Number of pages4
PublisherCenter for Biomedical Computing, Simula Research Laboratory
Publication date2013
ISBN (Print)978-82-92593-12-7
Publication statusPublished - 2013
Event26th Nordic Seminar on Computational Mechanics - Oslo, Norway
Duration: 23 Oct 201325 Oct 2013
Conference number: 26


Conference26th Nordic Seminar on Computational Mechanics
Internet address


  • Cross-section analysis
  • Coupled beam deformation
  • Anisotropic beam

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