Model Kelly-Tyson

The Kelly-Tyson model for the prediction of the strength (a ) of a polymer composite reinforced with discrete aligned fibers [5,6] is given by ... 

Keywords long glass fiber, glass mat thermoplastic (GMT), shear lag model, rule of mixture, tensile modules, Cox-Krenchel model, aspect ratio, thermal properties, linear thermal expansion coefficient, lofting, tensile strength, Kelly-Tyson model, adhesion, wetting, glass mat, random fiber orientation. 

Researchers have performed experiments on CNT-polymer bulk composites at the macroscale and observed the enhancements in mechanical properties (like elastic modulus and tensile strength) and tried to correlate the experimental results and phenomena with continuum theories like micro-mechanics of composites or Kelly Tyson shearing model [105,115-120]. 

Theoretical analyses of interfacial debonding and frictional pull-out in the fiber pull-out test were initially modeled for ductile matrices (e.g. tungsten wire-copper matrix (Kelly and Tyson, 1965, Kelly, 1966)) assuming a uniform IFSS. Based on the matrix yielding over the entire embedded fiber length, as a predominant failure mechanism at the interface region, a simple force balance shown in Fig. 4.19 gives the fiber pull-out stress, which varies directly proportionally to the cylindrical surface area of the fiber... 

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