Abstract
A statistical model is constructed to describe the formation of associations (clusters) of several defects randomly scattered within a limited region of the material. The dependence of the number of such clusters on the total concentration of defects is determined. Two criteria of the limiting state are established for multiple fracture, these criteria corresponding to the critical concentrations of cumulative scattered damage. The critical concentrations are the threshold concentration at which individual defects begin to merge and the concentration characterizing the transition to the stage in which defects coalesce on a massive scale.
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Translated from Problemy Prochnosti, No. 4, pp. 61–68, April, 1995.
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Ignatovich, S.R. Critical concentrations of cumulative scattered damage. Strength Mater 27, 219–224 (1995). https://doi.org/10.1007/BF02216041
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DOI: https://doi.org/10.1007/BF02216041