The given level attainment problem and material destruction

Abstract

In frameworks of percolation scenario of material destruction, the general stochastic model is proposed. It is connected with the so-called attainment problem of the given level E > 0 in the case of independent, equally distributed, non-negative random variables εk, k = 1, 2, ... . The asymptotic formula for the probability distribution of random instant of the level E > 0 attainment is proved when the absorbed destructive energy is large. It is done in the case when Eh possess a finite second moment and their sums have an absolutely continuous probability distribution with the bounded density. Remove selected