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A Stochastic Simulation of the Failure Process and Ultimate Strength of Blended Continuous Yarns

School of Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.

Ning Pan

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.

Moon Seo

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.

Mary C. Boyce

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.

Stanley Backer

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.

The mechanics of the failure process and ultimate strength of a twisted yarn structure are studied using a newly proposed stochastic model of the failure process. The impor tance of the twist reinforcing mechanism to the strength of a twisted structure with continuous components, the interaction patterns between different component types dur ing yam extension, and the significance of multiple breaks along a component are demonstrated. Building on the three basic concepts of fragmentation and chain-of-sub- bundles, changing lateral constraint between components due to twist and its effect on component strength, and load sharing between broken and still surviving members during yam breakage, a new mechanistic approach is proposed and a stochastic computer model is developed to predict the behavior of blended yams. The approach is similar to that developed earlier by Boyce et al. [3] to study the failure process in woven fabrics. The model acts to predict the strength and fracture behavior of a blended yarn with continuous components. The predicted results are illustrated in comparison with the experiments of Monego et al. [20, 21, 22]. By means of this new model, fundamental features of blended yam behavior are simulated and elucidated, including the strength reinforcing mechanism of twist in a blended yam, the yarn break propagation pattern, and the effect of twist on yam fracture behavior as well as the shape effect of component stress-strain curves. Moreover, the relationship between the strength of a structure and that of its components is also investigated.

Textile Research Journal, Vol. 70, No. 5, 415-430 (2000)
DOI: 10.1177/004051750007000507


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