Couturier, Philippe^{2}; Krenk, Steen^{2}; HÃ¸gsberg, Jan Becker^{2}

Editor:

A. Logg, K.A. Mardal

Affiliations:

^{1} Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark^{2} Department of Mechanical Engineering, Technical University of Denmark

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.

ISBN:

9788292593127

Type:

Conference paper

Language:

English

Published in:

Proceedings of the 26th Nordic Seminar on Computational Mechanics, 2013