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Weakening of an elastic solid by a rectangular array of cracks

Journal Article · · J. Appl. Mech.; (United States)
DOI:https://doi.org/10.1115/1.3423557· OSTI ID:7053669
An infinite elastic solid containing a doubly periodic rectangular array of slitlike 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 rectangular array of cracks are given as functions of the crack spacing.
Research Organization:
Sandia Labs
OSTI ID:
7053669
Journal Information:
J. Appl. Mech.; (United States), Journal Name: J. Appl. Mech.; (United States) Vol. 42:1; ISSN JAMCA
Country of Publication:
United States
Language:
English