A QUASIFRONT IN THE PROBLEM OF THE ACTION OF AN INSTANTANEOUS POINT IMPULSE AT THE EDGE OF A CONICAL SHELL

Citation
Yd. Kaplunov et Yv. Nolde, A QUASIFRONT IN THE PROBLEM OF THE ACTION OF AN INSTANTANEOUS POINT IMPULSE AT THE EDGE OF A CONICAL SHELL, Journal of applied mathematics and mechanics, 59(5), 1995, pp. 773-780
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
59
Issue
5
Year of publication
1995
Pages
773 - 780
Database
ISI
SICI code
0021-8928(1995)59:5<773:AQITPO>2.0.ZU;2-I
Abstract
The problem of the effect of a longitudinal point impulse at the edge of a thin conical shell is considered. The motion of the shell is desc ribed by two-dimensional equations corresponding to the second low-fre quency long-wavelength approximation in the theory of elasticity. They are investigated using the matched asymptotic expansion method. The q uasifront phenomenon in the theory of two-dimensional shells is treate d as a boundary layer in the neighbourhood of a subcharacteristic.