WEAKENING OF AN ELASTIC SOLID BY A RECTANGULAR ARRAY OF CRACKS

An infinite elastic solid containing a double-periodic rectangular array of slit-like cracks is considered. The solid is subjected to a uniform stress resulting in a state of plane strain. The cracks are represented as suitable distributions of dislocations which are determined from a singular integral equation. This equation is solved numerically in an efficient manner using an expansion of the non-singular part of the kernel in a series of Chebyshev polynomials. Values of the stress intensity factors are presented, as well as the change in strain energy due to the presence of the cracks. Also, the effective elastic constants of a sheet having a rectangular array of cracks are given as functions of the crack spacing.

• Corporate Authors:

  Stanford University

  Department of Applied Mechanics
  Stanford, CA  United States  94305
• Authors:
  • Delameter, W R
  • Herrmann, G
  • Barnett, D M
• Publication Date: 1974-7

Media Info

• Features: References;
• Pagination: 33 p.

Subject/Index Terms

• TRT Terms: Cracking; Fracture mechanics; Strain (Mechanics); Stresses
• Uncontrolled Terms: Crack propagation; Strain energy; Stress intensity factors
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00072517
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: AFOSR-TR-74-1447 Intrm Rpt.
• Contract Numbers: AFOSR 70-1905, N00014-67A-0112-0065
• Files: TRIS
• Created Date: Dec 19 1974 12:00AM