A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION ASSOCIATED WITH A CLASS OF WEDGE PROBLEMS,

Abstract

The Mellin integral transform is used to investigate the displacement near the vertex of an infinite, isotropic, elastic wedge in a state of plane stress under mixed boundary conditions. Normal stresses are prescribed near the vertex and normal displacements are assumed to be zero elsewhere along the boundary. A nonlinear integro-differential equation is derived in which the unknown function is related to the desired displacement. This and a related nonlinear algebraic system are analyzed. Methods are developed to compute the solution for the special case of the wedge of vertex angle pi. These methods are extended to a more general wedge and an example of the more general computation is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0671168

Entities

People

  • George M. Eargle

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Computations
  • Differential Equations
  • Displacement
  • Equations
  • Integral Transforms
  • Integrals
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.