STRESSES IN A HYPERBOLICALLY NOTCHED PLATE

Abstract

The plane stress field in an infinite elastic plate bounded by the branches of a hyperbola is analyzed using the two-dimensional mathematical theory of elasticity. The equilibrium and compatibility equations of the mathematical theory of elasticity are formally satisfied by means of a biharmonic stress function. Lacking methods based on orthogonality, a method of successive approximations, utilizing stress function superposition techniques, is developedAND USED FOR OBTAINING THE BODY STRESS DISTRIBUTION FOR PRESCRIBED BOUNDARY CONDITIONS. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1960
Accession Number
AD0256066

Entities

People

  • R.e. Weigle

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Boundaries
  • Elastic Properties
  • Equations
  • Mathematics
  • Orthogonality
  • Physical Properties
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Theoretical Analysis.