ON THE PRINCIPLE OF FERMAT IN ELASTODYNAMICS

Authors
HORZ M HAUPT P
Citation
M. Horz et P. Haupt, ON THE PRINCIPLE OF FERMAT IN ELASTODYNAMICS, Continuum mechanics and thermodynamics, 7(2), 1995, pp. 219-230
Citations number
10
Categorie Soggetti
Mechanics,Thermodynamics
Journal title
Continuum mechanics and thermodynamics → ACNP
ISSN journal
09351175
Volume
7
Issue
2
Year of publication
1995
Pages
219 - 230
Database
ISI
SICI code
0935-1175(1995)7:2<219:OTPOFI>2.0.ZU;2-7
Abstract
Considering elastic waves in solids we show that the analogy between g eometrical optics and classical mechanics may be extended from the iso tropic to the anisotropic case. Explicitly it is shown that the charac teristic curves of the eikonal equation in elastodynamics extremize an are length based on a metric, which is derived from the second order derivative of a squared Lagrangian.