Chain-of-bundles probability model for the strength of fibrous materials. II. A numerical study of convergence

Journal Article · Sat Jul 01 04:00:00 EDT 1978 · J. Compos. Mater.; (United States)

DOI:https://doi.org/10.1177/002199837801200308· OSTI ID:6515747

Harlow, D G; Phoenix, S L

A thorough numerical investigation is conducted for the chain-of-bundles probability model. The emphasis is on studying the convergence of certain transformed distributions. Strong numerical evidence of convergence is presented in support of a weakest link transformation for scaling to large fibrous materials. Also, exact results are graphed for small bundles. The numerical results are discussed in light of the key questions and conjectures raised in the preceding paper of this series. For practical purposes the Weibull distribution may be used to represent the strength distribution of fibrous materials. The associated shaped and scale parameter values for the fibrous material agree extremely well with those that are experimentally observed, as is shown in a specific example. The variability in strength is substantially reduced in passing from a single fiber to the fibrous material, but for customary specimen sizes, the median strength of the fibrous material is somewhat less than that of the fiber.

• Research Organization: Cornell Univ., Ithaca, NY
• OSTI ID: 6515747
• Journal Information: J. Compos. Mater.; (United States), Journal Name: J. Compos. Mater.; (United States) Vol. 12; ISSN JCOMB
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360303* -- Composite Materials-- Mechanical Properties-- (-1987)
EQUATIONS
FAILURES
FIBERS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
PROBABILITY
YIELD STRENGTH