Accession Number:

AD0785436

Title:

Weakening of an Elastic Solid by a Rectangular Array of Cracks.

Descriptive Note:

Interim rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF APPLIED MECHANICS

Personal Author(s):

• Delameter,W. R.
• Herrmann,G.
• Barnett,D. M.

Report Date:

1974-07-01

Pagination or Media Count:

36.0

Abstract:

An infinite elastic solid containing a doubly-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 nonsingular 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. Author

Descriptors:

• *Fracture(Mechanics)
• *Crack propagation
• *Elastic properties
• Stress strain relations
• Numerical analysis
• Dislocations

Subject Categories:

• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE