Naslov
Finite elements on non-linear manifolds of rotations or complete motion -- relationships between objectivity, helicoidal interpolation and fixed-pole approach

Autori
Jelenić, Gordan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the XII Finnish Mechanics Days / Kouhia, R. ; Makinen, J., Pajunen, S., Saksala, T. - Aalto : Finnish Association for Structural Mechanics, 2015, 7-12

ISBN
978-952-93-5608-9

Skup
XII Finnish Mechanics Days

Mjesto i datum
Tampere, Finska, 04.06.2015. - 05.06.2015

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
objectivity; configuration-dependent interpolation; helicoidal interpolation; linked interpolation; fixed-pole approach; 3D rotation group; 6D group of complete motion

Sažetak
Finite-element implementation of mechanical problems defined on non-linar manifolds requires particular attention, since some of the important physical properties of equilibrium or motion are not necessarily automatically inherited from the underlying continuous governing equations. Here we review some of the features of the so-called objective, helicoidal and fixed-pole approaches and show that there exist interesting similarities between them even though their development has been motivated by clearly different demands. More detail is presented for the configuration space formed by a product of a three-dimensional vector space and a three-parametric orthogonal differential manifold as well as the non-linear non-orthogonal six-parametric differential manifold of complete motion.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

POVEZANOST RADA