Simple waves in a nonlinearly elastic medium
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 80-86
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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.
@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/}
}
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/