Statistical Theories of Strength of Bundles and Fiber-Reinforced Composites.
Abstract
This report contains a review of the statistical theories of compositestrength for conditions of static and quasi-static loading. Startingwith the strength distribution of a fiber through the Daniels bundletheory, Gucer-Gurland-Rosen model of cumulative weakening of thecomposite and the Zweben model of crack propagation in the compositestructure. The case when a few isolated fiber breaks are observedprior to failure is briefly considered. The stochastic process modelfor the breakdown of a perfect fiber is presented. Its similarityto the Gucer-Gurland-Rosen model of composite strength is pointed out.The theory of breaking kinetics for a first order ensemble of fibers (nomemory effects) IS DISCUSSED FOR A FIBER AND FOR AN IDEAL AND A TIGHTBUNDLE. The generalized theory of breaking kinetics (including memoryeffects) is outlined. The relevant statistics and probability arereviewed. Special attention has been paid to applications to practicalproblems. The limitations and advantages of various theories arediscussed. (Author, modified-PL)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0871745
Entities
People
- A. E. Armenakas
- C. A. Sciammarella
- S. K. Garg
- V. Svalbonas
Organizations
- New York University Tandon School of Engineering