Naslov
Objectivity of strain measures in geometrically exact 3D beam theory and its finite element implementation

Autori
Crisfield, M. A. ; Jelenić, Gordan

Izvornik
Proceedings of the Royal Society of London Series A - Mathematical Physical & Engineering Sciences (1364-5021) 455 (1999), 1983; 1125-1147

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
objective interpolation; large 3D rotations

Sažetak
The paper discusses the issue of discretization of the strain-configuration relationships in the geometrically exact theory of three-dimensional (3D) beams, which has been at the heart of most recent nonlinear finite-element formulations. It is demonstrated that the usual discretization procedures for implementing these strain measures within a finite-element framework violate the important property of objectivity: invariance to rigid-body rotations. A method is proposed for overcoming this limitation, which paves the way for an objective finite-element formulation of the geometrically exact 3D beam theory. For a two-noded element, this method involves obtaining the relative rotation matrix that rotates one nodal triad onto the other and then interpolating the resulting rotation vector.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

POVEZANOST RADA