DYNAMIC ANALOGS OF SOMIGLIANA FORMULA FOR UNSTEADY DYNAMICS OF ELASTIC MEDIA WITH AN ARBITRARY DEGREE OF ANISOTROPY

Authors
ALEKSEYEVA LA ZAKIRYANOVA GK
Citation
La. Alekseyeva et Gk. Zakiryanova, DYNAMIC ANALOGS OF SOMIGLIANA FORMULA FOR UNSTEADY DYNAMICS OF ELASTIC MEDIA WITH AN ARBITRARY DEGREE OF ANISOTROPY, Journal of applied mathematics and mechanics, 58(2), 1994, pp. 367-372
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
58
Issue
2
Year of publication
1994
Pages
367 - 372
Database
ISI
SICI code
0021-8928(1994)58:2<367:DAOSFF>2.0.ZU;2-X
Abstract
The theory of generalized functions is used to obtain dynamic analogue s of Somigliana's formula for the unsteady dynamics of linear elastic homogeneous anisotropic media. Regular integral representations of the se analogues are constructed for the solutions of boundary-value probl ems of the theory of elasticity with homogeneous initial data. Analyti c formulae are proposed for the kernels of the integral equations in t he case of plane strain for orthotropic media.