Statistical Theories of Strength of Bundles and Fiber-Reinforced Composites.
Summary rept. 1 Feb 69-31 Jan 70,
POLYTECHNIC INST OF BROOKLYN NY
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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
- Laminates and Composite Materials