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A bundle of many fibers with stochastically distributed breaking thresholdsis considered as a model of composite materials. The fibers are assumed toshare the load equally, and to obey Hookean elasticity up to the breakingpoint. The bundle is slightly overloaded, which leads to complete failure. Westudy the properties of emission bursts in which an amount of energy $E$ isreleased. The analysis shows that the size of the energy bursts has a minimumwhen the system is half-way from the collapse point.

Prediction of the collapse point of overloaded materials by monitoring energy emissions