A representative diameter for the Weibull scaling of variable diameter monofilament strength

• Published in: Composites. Part A, Applied science and manufacturing Vol. 34; no. 7; pp. 597 - 601
• Main Author: Morimoto, Tetsuya
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.01.2003; Elsevier
• Subjects: A. Fibres; Applied sciences; B. Fracture; C. Statistical properties/methods; Compounding ingredients; Exact sciences and technology; Fillers and reinforcing agents; Polymer industry, paints, wood; Technology of polymers; Variable diameter; B. Fracture; C. Statistical properties/methods; A. Fibres; Variable diameter; Mechanical model; Reinforcing filler; Fiber; Mechanical properties; Theoretical study; Melt spinning; Statistical model; Size effect; Weibull distribution; Rupture strength; Diameter
• ISSN: 1359-835X; 1878-5840
• DOI: 10.1016/S1359-835X(03)00102-7

A model to characterize the strength of brittle monofilaments that possess a variation in diameter along their length was introduced. The model enabled use of an imaginary uniform diameter, i.e. ‘representative diameter’ to scale the fiber strength with single-modal Weibull distribution. The advantage of using the representative diameter is that the fracture probability of brittle monofilaments is correlated with the length although the real fibers possess a variable diameter. The present results revealed that the variable diameter was an important factor affecting the strength distribution. Thus, the uniformity in the diameter was expected essential for superior reinforcement fiber production.