A Hybrid Problem in Plane Elasticity.

Abstract

A fundamental problem in plane elasticity is studied: to determine for a given opening the amount and distribution of reinforcing material required to satisfy certain specified stress field criteria. The relationship between the local stress field around the opening and the reinforcement distribution is presented explicitly such that either one of them can assume the role of an independent parameter. The problem is set up as Muskhelishvili's first boundary value problem in which a function is derived to represent the loads due to reinforcement. A solution is worked out for a general mapping function which can desribe almost any opening of practical interest. Numerical results and other implications for a reinforced circular opening are discussed in greater detail. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA047757

Entities

People

  • David W Taylor
  • Surendra K. Dhir

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Coefficients
  • Complex Numbers
  • Differential Equations
  • Differential Geometry
  • Equations
  • Field Conditions
  • Geometry
  • Inequalities
  • Materials
  • Mathematics
  • Reinforcing Materials
  • Shape
  • Stresses

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Mechanical Engineering/Mechanics of Materials.