STATISTICS OF FRACTUR MODES. Technical Report No. 2

Technical Report · Sat Oct 01 04:00:00 EDT 1960

OSTI ID:4147100

Gucer, D; Gurland, J

A generalized theory of fracture statistics for engineer ing materials was developed for a combination of the "weakest-link" and independent (bundle) modes of fracture The "weakest-link" approach to fracture problems was reviewed, and it was shown that the classical concept can be generalized to include more than one class of volume elements, each with its own fracture-strength distribution function. The classical fiber-bundle fracture statistics were applied to the strength distribution of cross-sectional slices of unit thickness of a cylindrical body. The distribution is normal for a large number of volume elements in the cross section. The implications of the two modes of fracture were demonstrated by assuming a Weibull type fracture-strength distribution of the volume elements. It was shown that in cylindrical bodies the "weakest-link" strength is a function of the volume and that the combined independent-fracture- weakest-link strength is a function of cross section and length. A fracture- arresting mechanism was introduced in the form of a crack-propagation function depending on the actual stress in the unbroken portion of the cross section. Using this mechanism, an intermediate case was developed where weakest-link and combined independent- weakest-link modes are operative. (auth)

• Research Organization: Brown Univ., Providence
• NSA Number: NSA-15-003003
• OSTI ID: 4147100
• Report Number(s): TID-6863
• Country of Publication: United States
• Language: English

Related Subjects

CROSS SECTIONS
CYLINDERS
METALS, CERAMICS, AND OTHER MATERIALS
STATISTICS
STRESSES
TENSILE PROPERTIES
THICKNESS
VOLUME