The Solution of Axisymmetrical and Certain Other Space Problems in the Theory of Elasticity by Means of Analytical Functions,

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Abstract:

The theory of functions of a complex variable is applied to the solution of problems in the theory of elasticity involving surfaces symmetrical about the axis on the basis of the relation of the axisymmetrical state with the state of a plane surface. The relations between axisymmetrical and plane states are shown and the components for the former are described in functions of a complex variable. A solution for the boundary value problem is given using Cauchy integrals. The results, applying to an isotropic body, are extended to a transverse-isotopic body. Several problems in which the symmetry about the axis does not hold are considered along with their related boundary value problems. Author

Author(s):
Aleksandrov, A. Ya.
Author Organization(s):
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
Supplementary Note:
Edited machine trans. of International Symposium of Applications of the Theory of Functions in Continuum Mechanics. Tiflis, 1963. Pirilozheniya Teorii Funktsii v Mekhanike Sploshnoi Sredy. Mekhanika Tverdogo Tela. Trudy Simpoziuma (Applications of the Theory of Functions in Continuum Mechanics v1: Mechanics of Solids), Moscow, 1965 p97-118 (sic) by K. L. Dion.
Annotation:
The Solution of Axisymmetrical and Certain Other Space Problems in the Theory of Elasticity by Means of Analytical Functions--Translation.
Pagination:
0035

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
FTD-MT-24-15-71
Project Number(s):
AF-683M
 Subject Terms
Communities of Interest:
Air Platforms
Descriptor(s):
*ELASTIC PROPERTIES, *ANALYTIC FUNCTIONS, SHELLS(STRUCTURAL FORMS), INTEGRATION, COMPLEX VARIABLES, USSR
Field(s)/Group(s):
Numerical Mathematics, Mechanics
Keyword(s):
TRANSLATIONS
Report Date:
1971 Apr 19