Geodesic
Simple waves in a nonlinearly elastic medium
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 80-86 
È. V. Lenskii. Simple waves in a nonlinearly elastic medium. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 80-86. http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a13/
@article{VMUMM_1983_3_a13,
     author = {\`E. V. Lenskii},
     title = {Simple waves in a nonlinearly elastic medium},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {80--86},
     year = {1983},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a13/}
}
TY  - JOUR
AU  - È. V. Lenskii
TI  - Simple waves in a nonlinearly elastic medium
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 1983
SP  - 80
EP  - 86
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a13/
LA  - ru
ID  - VMUMM_1983_3_a13
ER  - 
%0 Journal Article
%A È. V. Lenskii
%T Simple waves in a nonlinearly elastic medium
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 80-86
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a13/
%G ru
%F VMUMM_1983_3_a13

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with properties of a simple waves propagating in an isotropic non-linearly elastic medium whose elastic potential is determined, by two arbitrary functions of the first and second invariants of the small strain tensor. The prestrain is arbitrary. A generalized definition of quasi-longitudinal and quasi-transverse waves is proposed involving the property of strict hyperbolicity of a system.