CONSERVATION-LAWS IN THE DYNAMICS OF RODS

Authors
MADDOCKS JH DICHMANN DJ
Citation
Jh. Maddocks et Dj. Dichmann, CONSERVATION-LAWS IN THE DYNAMICS OF RODS, Journal of elasticity, 34(1), 1994, pp. 83-96
Citations number
13
Categorie Soggetti
Engineering,"Material Science
Journal title
Journal of elasticity → ACNP
ISSN journal
03743535
Volume
34
Issue
1
Year of publication
1994
Pages
83 - 96
Database
ISI
SICI code
0374-3535(1994)34:1<83:CITDOR>2.0.ZU;2-5
Abstract
Conservation laws and associated integrals of motion for the dynamics of rods are derived. The classic conservation laws are those of total linear and angular momentum, and, for hyperelastic rods, conservation of energy. It will here be shown that an additional conservation law a rises in each of two cases. The first case is that of uniform, hyperel astic rods, the second is that of a class of transversely isotropic ro ds.