Beam section stiffness properties usig 3D finite elements

Philippe Couturier; Steen Krenk; Jan Becker Høgsberg

Beam section stiffness properties usig 3D finite elements

Philippe Couturier, Steen Krenk, Jan Becker Høgsberg

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

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 language	English
Title of host publication	Proceedings of the 26th Nordic Seminar on Computational Mechanics
Editors	A. Logg, K.A. Mardal
Number of pages	4
Publisher	Center for Biomedical Computing, Simula Research Laboratory
Publication date	2013
ISBN (Print)	978-82-92593-12-7
Publication status	Published - 2013
Event	26th Nordic Seminar on Computational Mechanics - Oslo, Norway Duration: 23 Oct 2013 → 25 Oct 2013 Conference number: 26 http://noacm.no/vpage/1/0/NSCM

Conference

Conference	26th Nordic Seminar on Computational Mechanics
Number	26
Country/Territory	Norway
City	Oslo
Period	23/10/2013 → 25/10/2013
Internet address	http://noacm.no/vpage/1/0/NSCM

Keywords

Cross-section analysis
Coupled beam deformation
Anisotropic beam

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abstract = "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 toform the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.",

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Beam section stiffness properties usig 3D finite elements. / Couturier, Philippe; Krenk, Steen ; Høgsberg, Jan Becker.
Proceedings of the 26th Nordic Seminar on Computational Mechanics. ed. / A. Logg; K.A. Mardal. Center for Biomedical Computing, Simula Research Laboratory, 2013.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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AU - Krenk, Steen

AU - Høgsberg, Jan Becker

N1 - Conference code: 26

PY - 2013

Y1 - 2013

N2 - 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 toform the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.

AB - 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 toform the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.

KW - Cross-section analysis

KW - Coupled beam deformation

KW - Anisotropic beam

M3 - Article in proceedings

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BT - Proceedings of the 26th Nordic Seminar on Computational Mechanics

A2 - Logg, A.

A2 - Mardal, K.A.

PB - Center for Biomedical Computing, Simula Research Laboratory

T2 - 26th Nordic Seminar on Computational Mechanics

Y2 - 23 October 2013 through 25 October 2013

ER -

Beam section stiffness properties usig 3D finite elements

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