Stresses in Laminated Composites Containing a Broken Layer. Part I. Analysis.

Abstract

The stress field around a stress-free crack in bimaterial laminated composite with elastic constituents is determined when the external loads open the crack surfaces. The crack is created by a broken layer and has a finite length. This problem is reduced to one in which the only nonzero boundary stress is a normal stress on the crack surface. The solution presented applies to a more general problem where either the normal displacement or the normal stress can be prescribed. The stresses are given by integral expressions which contain the derivative of the normal displacement along the crack surface. For the case when the normal stress is prescribed, a singular differential-integral equation is derived which the normal displacement of the crack surface must satisfy. The asymptotic behavior near the crack tips of the solution to the singular differential-integral equation is analyzed. Also a set of composite parameters is presented which provide some pertinent information for this crack problem. (Author-PL)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1971
Accession Number
AD0736834

Entities

People

  • Noel E. Ashbaugh

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Composite Materials
  • Crack Tips
  • Cracks
  • Displacement
  • Equations
  • Integral Equations
  • Integrals

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Structural Health Monitoring of Composite Structures.