AN APPROXIMATE METHOD FOR DETERMINING STRESSES IN AN ELASTIC ANISOTROPIC PLATE NEAR AN OPENING WHICH IS ALMOST CIRCULAR

Abstract

An approximate method is suggested for solving the two-dimensional problem of the theory of elasticity of an infinite, anisotropic plate with an almost circular opening. The method is based on the introduction of a small parameter characterizing the deviation of the opening from the circular. The problem is reduced to the problem of the equilibrium of an anisotropic plate with a circular opening. Chief attention is given to an opening having four axes of symmetry. Approximate solutions for a plate with such an opening are derived for both the general case of loading and for two particular cases when the plate is orthotropic and is deformed by: (1) tensile stresses and (2) bending moments.

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Document Details

Document Type
Technical Report
Publication Date
Sep 08, 1969
Accession Number
AD0699664

Entities

People

  • S. G. Lekhnitskii

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Bending Moments
  • Boundaries
  • Celestial Brightness
  • Complex Variables
  • Elastic Properties
  • Equations
  • Foreign Technology
  • Geometric Forms
  • Lines (Geometry)
  • Modulus Of Elasticity
  • Power Series
  • Pressure Distribution
  • Shape
  • Shear Modulus
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Operations Research