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Research Papers

A Micromechanical Model to Predict Mechanical Durability of Glass Multifilament Bundles in Rubber Composite

[+] Author and Article Information
Subrata B. Ghosh1

Department of Engineering Materials, University of Sheffield, Sir Robert Hadfield Building, Mappin Street, Sheffield S1 3JD, UK

Deepayan Bhowmik

Department of Electronic and Electrical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

Russell J. Hand, Frank R. Jones

Department of Engineering Materials, University of Sheffield, Sir Robert Hadfield Building, Mappin Street, Sheffield S1 3JD, UK

1

Corresponding author. Present Address: Centre for Biocomposites and Biomaterials Processing, University of Toronto, 33 Willcocks Street, Toronto, ON, M5S 3B3, Canada.

J. Eng. Mater. Technol 132(1), 011014 (Dec 01, 2009) (6 pages) doi:10.1115/1.4000217 History: Received August 15, 2008; Revised August 20, 2009; Published December 01, 2009; Online December 01, 2009

Many rubber products are reinforced with glass fibers to give dimensional stability, high modulus, and good fatigue life. To understand failure of these products, it is essential to understand the failure and strength degradation mechanisms of the reinforcing glass multifilament bundles. An empirical model has been developed to predict fast fracture and time-dependent failure of these bundles using the global load sharing approximation. The model is based on the statistical strength distribution of glass fibers, fracture mechanics of glass, and nonlinear stress distribution between individual fibers owing to sliding resistance of matrix. The model was also used to predict the residual strength of the bundle as a function of load and time.

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Figures

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Figure 1

Distribution of glass filaments and rubber matrix inside the composite

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Figure 2

Longitudinal stress in a fiber as a function of applied load

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Figure 3

Simulated fiber break events versus time at the normalized applied load of 0.55

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Figure 4

Number of surviving fibers in a bundle predicted from the model as a function of loading time at different normalized applied loads

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Figure 5

Predicted fiber survival probability for a glass bundle as a function of time and applied loads

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Figure 6

Predicted stress distributions of fiber elements in a bundle as a function of time at the normalized applied load of 0.72

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Figure 7

Predicted normalized residual strengths of the composite at various applied loads against log (loading time)

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