COMBINED STRESSES IN AN ORTHOTROPIC PLATE HAVING A FINITE CRACK

Abstract

By using a formulation in integral equations, a solution for the combined extension-classical ben ing stress an displacement olution is presented for the case of an infinite orthotropic flat plate containing a finite crack. Primary emphasis is placed upon the stress s near the crack point. Qualitatively no major difference in behavior due to orthotropy was found, certain quantitative features are noted, mainly as a function of the characteristic rigidity ratio (E sub x/E sub y) to the 1/2 power. The inverse square root character of the isotropic stress bending and extension is not changed by orthotropy, although amplitudes and distribution are affected. Account is taken of recen work of Knowles and Wang (GALCIT SM 60-11, July 1960) dealing with Reissner bending of the plate in deriving a bending-extension interaction curve for fracture initiation. The interaction is linear if an octahedral shearing stress criterion is used. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0266345

Entities

People

  • D.d. Ang
  • M.l. Williams

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Displacement
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Personality
  • Rigidity
  • Square Roots

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Structural Health Monitoring of Composite Structures.