STRESS CONCENTRATION AROUND SPHERICAL CAVITIES IN STRAIN-GRADIENT DEPENDENT ELASTIC BODIES SUBJECTED TO UNIAXIAL TENSION.

Abstract

This paper presents an analytical solution to a boundary-value problem in linear elasticity where potential energy depends on strains and strain gradients. The problem considered is that of an infinite medium, containing a spherical cavity, subjected to uniaxial tension at infinity. Special attention is given to the stress concentration factor at the surface of the cavity and to some higher order stress-terms. Results show that the stress concentration factor, which depends on two characteristic lengths as well as on additional material parameters, can exceed the classical vlue. The hyperstresses are found to represent surface like phenomena; they dimish to zero away from the surface of the cavity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0635802

Entities

People

  • Glenn A. Hazen
  • Yechiel Weitsman

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Elastic Properties
  • Energy
  • Materials
  • Mechanical Properties
  • Physical Properties
  • Potential Energy
  • Stress Concentration
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Marine Propulsion Engineering and Naval Architecture
  • Mechanical Engineering/Mechanics of Materials.