A Recipe for Composite Materials: An Approach through Fiber Bundle Model

preprint2016arXivOpen access

Abstract

Strengthening of materials and preventing abrupt fracture are really challenging jobs in the field of engineering and material science. Such problems can be resolved by using composite materials. In this work, we have studied the fracture process of a composite material in light of fiber bundle model with different elastic constants as well as different random threshold breaking strength of fibers. The critical width of the threshold distribution (δcδ_c), for which abrupt failure occurs, is studied both analytically and numerically with increasing number of components (k)(k) in the composite and it is shown that δcδ_c is inversely related to kk. Corresponding phase diagram for the model suggests decrease in the tendency of abrupt fracture as number of components in the composite increase.

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