On the existence of longitudinal plane waves in general elastic anisotropic media

Authors
Geymonat, G Gilormini, P
Citation
G. Geymonat et P. Gilormini, On the existence of longitudinal plane waves in general elastic anisotropic media, J ELAST, 54(3), 1999, pp. 253-266
Citations number
22
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF ELASTICITY
ISSN journal
03743535 → ACNP
Volume
54
Issue
3
Year of publication
1999
Pages
253 - 266
Database
ISI
SICI code
0374-3535(1999)54:3<253:OTEOLP>2.0.ZU;2-H
Abstract
We give a new proof of Kolodner's result that longitudinal waves can propag ate in at least three directions in a hyperelastic anisotropic medium. We g ive examples of an orthotropic hyperelastic tensor with exactly three such directions, of a monoclinic elastic (but not hyperelastic) tensor with only one, and of a monoclinic elastic (elliptic, but not uniformly elliptic) te nsor with no direction for longitudinal waves.