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

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1971
Accession Number
AD0727463

Entities

People

  • A. Ya. Aleksandrov

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Complex Variables
  • Continuum Mechanics
  • Elastic Properties
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Symmetry
  • Transverse

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Space